Abstract group data - 79833600.d

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 27720, 'aut_gen_orders': [6, 10], 'aut_gens': [[194010168256, 101201518087], [125183494943, 929322994336], [555691017616, 175972861463]], 'aut_group': '239500800.b', 'aut_hash': 5670471553269587282, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 239500800, 'aut_permdeg': 333, 'aut_perms': [31128034275995716204655552186600986554199026906472824428198784051285034208699014225562176766133212476001612302170623587371838442957746878988282388217217767821203655738936533687708110232187409579029781852718889416025215465669625333579313762899165150384220133764444503126173865028577547954709517887676905468512811608348702984951666837645297703841542399183582932943923141276587570654903954710197258480491231013079948734651935364478992736015469742228950549535438664266000021974551694294182762068596625871782632571007919467843534303005234027671858081655994437893667301294616669834955769645811704773612814632421672761211123866953373709859448384788194016159149674684310509859566496915654018777747100461, 31034521861347009386368427807822516351115844475383242493436727046189724614732334662576542064143460633020660738093011528577646561643143958060727671302573360201978028729599752778415312700567459131616893415241633058184782341873682053124229107587809284124447195156610903807789551014768537841751877686953196265598982291559152124064633673070305147284733471355646259820286134375668734221067223835440649316041981762524262276931297841345020205700924953831346742467765320387590177644169525232208111099636321296474399463781987058751280630373323585056744021287308654724747677060120876935750586627950234618064706445813778888334216439876304234716146445838841495924931292565147259623992782307157902117348673127], 'aut_phi_ratio': 14.4375, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [2, 990, 1, 1], [2, 990, 3, 1], [2, 17325, 1, 1], [2, 17325, 3, 1], [3, 330, 1, 1], [3, 18480, 1, 1], [3, 123200, 1, 1], [4, 41580, 1, 1], [4, 41580, 3, 1], [4, 207900, 1, 2], [4, 207900, 3, 2], [5, 11088, 1, 1], [5, 798336, 1, 1], [6, 330, 3, 1], [6, 18480, 3, 1], [6, 34650, 1, 1], [6, 34650, 3, 1], [6, 69300, 1, 1], [6, 69300, 3, 1], [6, 123200, 3, 1], [6, 277200, 1, 1], [6, 277200, 3, 1], [6, 554400, 1, 1], [6, 554400, 3, 1], [6, 1108800, 1, 1], [6, 1108800, 3, 1], [7, 237600, 1, 1], [8, 2494800, 1, 1], [8, 2494800, 3, 1], [9, 2217600, 1, 1], [10, 11088, 3, 1], [10, 498960, 1, 1], [10, 498960, 3, 1], [10, 798336, 3, 1], [11, 1814400, 2, 1], [12, 415800, 1, 1], [12, 415800, 3, 1], [12, 831600, 1, 1], [12, 831600, 3, 1], [12, 1663200, 1, 1], [12, 1663200, 3, 1], [14, 237600, 3, 1], [14, 712800, 1, 1], [14, 712800, 3, 1], [15, 443520, 1, 2], [18, 2217600, 3, 1], [20, 997920, 1, 1], [20, 997920, 3, 1], [21, 950400, 2, 1], [22, 1814400, 6, 1], [30, 443520, 3, 2], [42, 950400, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times S_{11}', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '6.1', 'autcent_hash': 1, 'autcent_nilpotent': False, 'autcent_order': 6, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'S_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 27720, 'autcentquo_group': '39916800.a', 'autcentquo_hash': 6551313738153656066, 'autcentquo_nilpotent': False, 'autcentquo_order': 39916800, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 990, 4], [2, 17325, 4], [3, 330, 1], [3, 18480, 1], [3, 123200, 1], [4, 41580, 4], [4, 207900, 8], [5, 11088, 1], [5, 798336, 1], [6, 330, 3], [6, 18480, 3], [6, 34650, 4], [6, 69300, 4], [6, 123200, 3], [6, 277200, 4], [6, 554400, 4], [6, 1108800, 4], [7, 237600, 1], [8, 2494800, 4], [9, 2217600, 1], [10, 11088, 3], [10, 498960, 4], [10, 798336, 3], [11, 1814400, 2], [12, 415800, 4], [12, 831600, 4], [12, 1663200, 4], [14, 237600, 3], [14, 712800, 4], [15, 443520, 2], [18, 2217600, 3], [20, 997920, 4], [21, 950400, 2], [22, 1814400, 6], [30, 443520, 6], [42, 950400, 6]], 'center_label': '4.2', 'center_order': 4, 'central_product': None, 'central_quotient': '19958400.a', 'commutator_count': 1, 'commutator_label': '19958400.a', 'complements_known': False, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '19958400.a'], 'composition_length': 3, 'conjugacy_classes_known': True, 'counter': 4, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 990, 1, 4], [2, 17325, 1, 4], [3, 330, 1, 1], [3, 18480, 1, 1], [3, 123200, 1, 1], [4, 41580, 1, 4], [4, 207900, 1, 8], [5, 11088, 1, 1], [5, 798336, 1, 1], [6, 330, 1, 3], [6, 18480, 1, 3], [6, 34650, 1, 4], [6, 69300, 1, 4], [6, 123200, 1, 3], [6, 277200, 1, 4], [6, 554400, 1, 4], [6, 1108800, 1, 4], [7, 237600, 1, 1], [8, 2494800, 1, 4], [9, 2217600, 1, 1], [10, 11088, 1, 3], [10, 498960, 1, 4], [10, 798336, 1, 3], [11, 1814400, 2, 1], [12, 415800, 1, 4], [12, 831600, 1, 4], [12, 1663200, 1, 4], [14, 237600, 1, 3], [14, 712800, 1, 4], [15, 443520, 1, 2], [18, 2217600, 1, 3], [20, 997920, 1, 4], [21, 950400, 2, 1], [22, 1814400, 2, 3], [30, 443520, 1, 6], [42, 950400, 2, 3]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 27720, 'exponents_of_order': [9, 4, 2, 1, 1], 'factors_of_aut_order': [2, 3, 5, 7, 11], 'factors_of_order': [2, 3, 5, 7, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '79833600.d', 'hash': 1675168115147003768, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 27720, 'inner_gen_orders': [15, 11], 'inner_gens': [[194010168256, 487665169927], [25566001216, 101201518087]], 'inner_hash': 2013935740139157383, 'inner_nilpotent': False, 'inner_order': 19958400, 'inner_split': True, 'inner_tex': 'A_{11}', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 4], [10, 4], [44, 4], [45, 4], [110, 4], [120, 4], [126, 8], [132, 4], [165, 4], [210, 4], [231, 4], [330, 4], [385, 4], [462, 4], [550, 4], [594, 12], [660, 4], [693, 4], [825, 4], [924, 4], [990, 8], [1100, 4], [1155, 4], [1232, 4], [1320, 4], [1540, 4], [2310, 4]], 'label': '79833600.d', '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': 'C2^2*A11', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 58, 'number_characteristic_subgroups': 4, 'number_conjugacy_classes': 124, 'number_divisions': 116, 'number_normal_subgroups': 10, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 79833600, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 73263], [3, 142010], [4, 1829520], [5, 809424], [6, 8603430], [7, 237600], [8, 9979200], [9, 2217600], [10, 4424112], [11, 3628800], [12, 11642400], [14, 3564000], [15, 887040], [18, 6652800], [20, 3991680], [21, 1900800], [22, 10886400], [30, 2661120], [42, 5702400]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 6], 'outer_gen_pows': [0, 726170418127], 'outer_gens': [[194010168256, 101201518103], [548065002263, 611341532056]], 'outer_group': '12.4', 'outer_hash': 4, 'outer_nilpotent': False, 'outer_order': 12, 'outer_permdeg': 5, 'outer_perms': [6, 31], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_6', 'pc_rank': None, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [10, 4], [44, 4], [45, 4], [110, 4], [120, 4], [132, 4], [165, 4], [210, 4], [231, 4], [252, 4], [330, 4], [385, 4], [462, 4], [550, 4], [594, 4], [660, 4], [693, 4], [825, 4], [924, 4], [990, 8], [1100, 4], [1155, 4], [1188, 4], [1232, 4], [1320, 4], [1540, 4], [2310, 4]], 'representations': {'Perm': {'d': 15, 'gens': [194010168256, 101201518087]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 53760, 'supersolvable': False, 'sylow_subgroups_known': False, 'tex_name': 'C_2^2\\times A_{11}', 'transitive_degree': 44, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

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

  
  
  • id: 105821231
    {'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 4, 'group_order': 79833600, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 105821267
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 4, 'group_order': 79833600, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2, 2], 'representative': 7, 'size': 1}
  • id: 105821278
    {'aut_label': '2A', 'centralizer': None, 'counter': 3, 'group_counter': 4, 'group_order': 79833600, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3, 3], 'representative': 23, 'size': 1}
  • id: 105821289
    {'aut_label': '2A', 'centralizer': None, 'counter': 4, 'group_counter': 4, 'group_order': 79833600, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4, 4], 'representative': 16, 'size': 1}
  • id: 105821300
    {'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 4, 'group_order': 79833600, 'label': '2D', 'order': 2, 'powers': [1, 5, 5, 5, 5], 'representative': 50379039360, 'size': 990}
  • id: 105821311
    {'aut_label': '2E', 'centralizer': None, 'counter': 6, 'group_counter': 4, 'group_order': 79833600, 'label': '2E', 'order': 2, 'powers': [1, 6, 6, 6, 6], 'representative': 56566229167, 'size': 990}
  • id: 105821322
    {'aut_label': '2E', 'centralizer': None, 'counter': 7, 'group_counter': 4, 'group_order': 79833600, 'label': '2F', 'order': 2, 'powers': [1, 7, 7, 7, 7], 'representative': 15049583, 'size': 990}
  • id: 105821333
    {'aut_label': '2E', 'centralizer': None, 'counter': 8, 'group_counter': 4, 'group_order': 79833600, 'label': '2G', 'order': 2, 'powers': [1, 8, 8, 8, 8], 'representative': 16696, 'size': 990}
  • id: 105821344
    {'aut_label': '2H', 'centralizer': None, 'counter': 9, 'group_counter': 4, 'group_order': 79833600, 'label': '2H', 'order': 2, 'powers': [1, 9, 9, 9, 9], 'representative': 87668582527, 'size': 17325}
  • id: 105821232
    {'aut_label': '2H', 'centralizer': None, 'counter': 10, 'group_counter': 4, 'group_order': 79833600, 'label': '2I', 'order': 2, 'powers': [1, 10, 10, 10, 10], 'representative': 87668582536, 'size': 17325}
  • id: 105821243
    {'aut_label': '2H', 'centralizer': None, 'counter': 11, 'group_counter': 4, 'group_order': 79833600, 'label': '2J', 'order': 2, 'powers': [1, 11, 11, 11, 11], 'representative': 87668582543, 'size': 17325}
  • id: 105821254
    {'aut_label': '2K', 'centralizer': None, 'counter': 12, 'group_counter': 4, 'group_order': 79833600, 'label': '2K', 'order': 2, 'powers': [1, 12, 12, 12, 12], 'representative': 87197217840, 'size': 17325}
  • id: 105821260
    {'aut_label': '3A', 'centralizer': None, 'counter': 13, 'group_counter': 4, 'group_order': 79833600, 'label': '3A', 'order': 3, 'powers': [13, 1, 13, 13, 13], 'representative': 1093680, 'size': 330}
  • id: 105821261
    {'aut_label': '3B', 'centralizer': None, 'counter': 14, 'group_counter': 4, 'group_order': 79833600, 'label': '3B', 'order': 3, 'powers': [14, 1, 14, 14, 14], 'representative': 2440373160, 'size': 18480}
  • id: 105821262
    {'aut_label': '3C', 'centralizer': None, 'counter': 15, 'group_counter': 4, 'group_order': 79833600, 'label': '3C', 'order': 3, 'powers': [15, 1, 15, 15, 15], 'representative': 51348775080, 'size': 123200}
  • id: 105821263
    {'aut_label': '4A', 'centralizer': None, 'counter': 16, 'group_counter': 4, 'group_order': 79833600, 'label': '4A', 'order': 4, 'powers': [5, 16, 16, 16, 16], 'representative': 445119902647, 'size': 41580}
  • id: 105821264
    {'aut_label': '4B', 'centralizer': None, 'counter': 17, 'group_counter': 4, 'group_order': 79833600, 'label': '4B', 'order': 4, 'powers': [5, 17, 17, 17, 17], 'representative': 40795786800, 'size': 41580}
  • id: 105821265
    {'aut_label': '4A', 'centralizer': None, 'counter': 18, 'group_counter': 4, 'group_order': 79833600, 'label': '4C', 'order': 4, 'powers': [5, 18, 18, 18, 18], 'representative': 529942816096, 'size': 41580}
  • id: 105821266
    {'aut_label': '4A', 'centralizer': None, 'counter': 19, 'group_counter': 4, 'group_order': 79833600, 'label': '4D', 'order': 4, 'powers': [5, 19, 19, 19, 19], 'representative': 224216707703, 'size': 41580}
  • id: 105821268
    {'aut_label': '4E', 'centralizer': None, 'counter': 20, 'group_counter': 4, 'group_order': 79833600, 'label': '4E', 'order': 4, 'powers': [5, 20, 20, 20, 20], 'representative': 14130684000, 'size': 207900}
  • id: 105821269
    {'aut_label': '4F', 'centralizer': None, 'counter': 21, 'group_counter': 4, 'group_order': 79833600, 'label': '4F', 'order': 4, 'powers': [12, 21, 21, 21, 21], 'representative': 810552482640, 'size': 207900}
  • id: 105821270
    {'aut_label': '4G', 'centralizer': None, 'counter': 22, 'group_counter': 4, 'group_order': 79833600, 'label': '4G', 'order': 4, 'powers': [12, 22, 22, 22, 22], 'representative': 125041634063, 'size': 207900}
  • id: 105821271
    {'aut_label': '4H', 'centralizer': None, 'counter': 23, 'group_counter': 4, 'group_order': 79833600, 'label': '4H', 'order': 4, 'powers': [5, 23, 23, 23, 23], 'representative': 456013237816, 'size': 207900}
  • id: 105821272
    {'aut_label': '4G', 'centralizer': None, 'counter': 24, 'group_counter': 4, 'group_order': 79833600, 'label': '4I', 'order': 4, 'powers': [12, 24, 24, 24, 24], 'representative': 12980590696, 'size': 207900}
  • id: 105821273
    {'aut_label': '4H', 'centralizer': None, 'counter': 25, 'group_counter': 4, 'group_order': 79833600, 'label': '4J', 'order': 4, 'powers': [5, 25, 25, 25, 25], 'representative': 904093914383, 'size': 207900}
  • id: 105821274
    {'aut_label': '4H', 'centralizer': None, 'counter': 26, 'group_counter': 4, 'group_order': 79833600, 'label': '4K', 'order': 4, 'powers': [5, 26, 26, 26, 26], 'representative': 52989603847, 'size': 207900}
  • id: 105821275
    {'aut_label': '4G', 'centralizer': None, 'counter': 27, 'group_counter': 4, 'group_order': 79833600, 'label': '4L', 'order': 4, 'powers': [12, 27, 27, 27, 27], 'representative': 464751307567, 'size': 207900}
  • id: 105821276
    {'aut_label': '5A', 'centralizer': None, 'counter': 28, 'group_counter': 4, 'group_order': 79833600, 'label': '5A', 'order': 5, 'powers': [28, 28, 1, 28, 28], 'representative': 31658151720, 'size': 11088}
  • id: 105821277
    {'aut_label': '5B', 'centralizer': None, 'counter': 29, 'group_counter': 4, 'group_order': 79833600, 'label': '5B', 'order': 5, 'powers': [29, 29, 1, 29, 29], 'representative': 351610521240, 'size': 798336}
  • id: 105821279
    {'aut_label': '6A', 'centralizer': None, 'counter': 30, 'group_counter': 4, 'group_order': 79833600, 'label': '6A', 'order': 6, 'powers': [13, 3, 30, 30, 30], 'representative': 448583, 'size': 330}
  • id: 105821280
    {'aut_label': '6A', 'centralizer': None, 'counter': 31, 'group_counter': 4, 'group_order': 79833600, 'label': '6B', 'order': 6, 'powers': [13, 4, 31, 31, 31], 'representative': 262013875216, 'size': 330}
  • id: 105821281
    {'aut_label': '6A', 'centralizer': None, 'counter': 32, 'group_counter': 4, 'group_order': 79833600, 'label': '6C', 'order': 6, 'powers': [13, 2, 32, 32, 32], 'representative': 163658887, 'size': 330}
  • id: 105821282
    {'aut_label': '6D', 'centralizer': None, 'counter': 33, 'group_counter': 4, 'group_order': 79833600, 'label': '6D', 'order': 6, 'powers': [14, 2, 33, 33, 33], 'representative': 2083834927, 'size': 18480}
  • id: 105821283
    {'aut_label': '6D', 'centralizer': None, 'counter': 34, 'group_counter': 4, 'group_order': 79833600, 'label': '6E', 'order': 6, 'powers': [14, 3, 34, 34, 34], 'representative': 18762756623, 'size': 18480}
  • id: 105821284
    {'aut_label': '6D', 'centralizer': None, 'counter': 35, 'group_counter': 4, 'group_order': 79833600, 'label': '6F', 'order': 6, 'powers': [14, 4, 35, 35, 35], 'representative': 221386607296, 'size': 18480}
  • id: 105821285
    {'aut_label': '6G', 'centralizer': None, 'counter': 36, 'group_counter': 4, 'group_order': 79833600, 'label': '6G', 'order': 6, 'powers': [13, 9, 36, 36, 36], 'representative': 87668985727, 'size': 34650}
  • id: 105821286
    {'aut_label': '6G', 'centralizer': None, 'counter': 37, 'group_counter': 4, 'group_order': 79833600, 'label': '6H', 'order': 6, 'powers': [13, 10, 37, 37, 37], 'representative': 87668985736, 'size': 34650}
  • id: 105821287
    {'aut_label': '6G', 'centralizer': None, 'counter': 38, 'group_counter': 4, 'group_order': 79833600, 'label': '6I', 'order': 6, 'powers': [13, 11, 38, 38, 38], 'representative': 87668985743, 'size': 34650}
  • id: 105821288
    {'aut_label': '6J', 'centralizer': None, 'counter': 39, 'group_counter': 4, 'group_order': 79833600, 'label': '6J', 'order': 6, 'powers': [13, 12, 39, 39, 39], 'representative': 632342027640, 'size': 34650}
  • id: 105821290
    {'aut_label': '6K', 'centralizer': None, 'counter': 40, 'group_counter': 4, 'group_order': 79833600, 'label': '6K', 'order': 6, 'powers': [13, 8, 40, 40, 40], 'representative': 174356599096, 'size': 69300}
  • id: 105821291
    {'aut_label': '6L', 'centralizer': None, 'counter': 41, 'group_counter': 4, 'group_order': 79833600, 'label': '6L', 'order': 6, 'powers': [13, 5, 41, 41, 41], 'representative': 999059160, 'size': 69300}
  • id: 105821292
    {'aut_label': '6K', 'centralizer': None, 'counter': 42, 'group_counter': 4, 'group_order': 79833600, 'label': '6M', 'order': 6, 'powers': [13, 6, 42, 42, 42], 'representative': 186812116567, 'size': 69300}
  • id: 105821293
    {'aut_label': '6K', 'centralizer': None, 'counter': 43, 'group_counter': 4, 'group_order': 79833600, 'label': '6N', 'order': 6, 'powers': [13, 7, 43, 43, 43], 'representative': 26509921943, 'size': 69300}
  • id: 105821294
    {'aut_label': '6O', 'centralizer': None, 'counter': 44, 'group_counter': 4, 'group_order': 79833600, 'label': '6O', 'order': 6, 'powers': [15, 2, 44, 44, 44], 'representative': 46548519127, 'size': 123200}
  • id: 105821295
    {'aut_label': '6O', 'centralizer': None, 'counter': 45, 'group_counter': 4, 'group_order': 79833600, 'label': '6P', 'order': 6, 'powers': [15, 4, 45, 45, 45], 'representative': 451706226496, 'size': 123200}
  • id: 105821296
    {'aut_label': '6O', 'centralizer': None, 'counter': 46, 'group_counter': 4, 'group_order': 79833600, 'label': '6Q', 'order': 6, 'powers': [15, 3, 46, 46, 46], 'representative': 201755596343, 'size': 123200}
  • id: 105821297
    {'aut_label': '6R', 'centralizer': None, 'counter': 47, 'group_counter': 4, 'group_order': 79833600, 'label': '6R', 'order': 6, 'powers': [14, 5, 47, 47, 47], 'representative': 52339761360, 'size': 277200}
  • id: 105821298
    {'aut_label': '6S', 'centralizer': None, 'counter': 48, 'group_counter': 4, 'group_order': 79833600, 'label': '6S', 'order': 6, 'powers': [14, 6, 48, 48, 48], 'representative': 667410883327, 'size': 277200}
  • id: 105821299
    {'aut_label': '6S', 'centralizer': None, 'counter': 49, 'group_counter': 4, 'group_order': 79833600, 'label': '6T', 'order': 6, 'powers': [14, 8, 49, 49, 49], 'representative': 145266404536, 'size': 277200}
  • id: 105821301
    {'aut_label': '6S', 'centralizer': None, 'counter': 50, 'group_counter': 4, 'group_order': 79833600, 'label': '6U', 'order': 6, 'powers': [14, 7, 50, 50, 50], 'representative': 283576260983, 'size': 277200}
  • id: 105821302
    {'aut_label': '6V', 'centralizer': None, 'counter': 51, 'group_counter': 4, 'group_order': 79833600, 'label': '6V', 'order': 6, 'powers': [14, 10, 51, 51, 51], 'representative': 380891348656, 'size': 554400}
  • id: 105821303
    {'aut_label': '6V', 'centralizer': None, 'counter': 52, 'group_counter': 4, 'group_order': 79833600, 'label': '6W', 'order': 6, 'powers': [14, 9, 52, 52, 52], 'representative': 803972383927, 'size': 554400}
  • id: 105821304
    {'aut_label': '6X', 'centralizer': None, 'counter': 53, 'group_counter': 4, 'group_order': 79833600, 'label': '6X', 'order': 6, 'powers': [14, 12, 53, 53, 53], 'representative': 58541375640, 'size': 554400}
  • id: 105821305
    {'aut_label': '6V', 'centralizer': None, 'counter': 54, 'group_counter': 4, 'group_order': 79833600, 'label': '6Y', 'order': 6, 'powers': [14, 11, 54, 54, 54], 'representative': 358387677383, 'size': 554400}
  • id: 105821306
    {'aut_label': '6Z', 'centralizer': None, 'counter': 55, 'group_counter': 4, 'group_order': 79833600, 'label': '6Z', 'order': 6, 'powers': [15, 11, 55, 55, 55], 'representative': 139157383823, 'size': 1108800}
  • id: 105821307
    {'aut_label': '6Z', 'centralizer': None, 'counter': 56, 'group_counter': 4, 'group_order': 79833600, 'label': '6AA', 'order': 6, 'powers': [15, 10, 56, 56, 56], 'representative': 787969371736, 'size': 1108800}
  • id: 105821308
    {'aut_label': '6Z', 'centralizer': None, 'counter': 57, 'group_counter': 4, 'group_order': 79833600, 'label': '6AB', 'order': 6, 'powers': [15, 9, 57, 57, 57], 'representative': 700961556967, 'size': 1108800}
  • id: 105821309
    {'aut_label': '6AC', 'centralizer': None, 'counter': 58, 'group_counter': 4, 'group_order': 79833600, 'label': '6AC', 'order': 6, 'powers': [15, 12, 58, 58, 58], 'representative': 544354634880, 'size': 1108800}
  • id: 105821310
    {'aut_label': '7A', 'centralizer': None, 'counter': 59, 'group_counter': 4, 'group_order': 79833600, 'label': '7A', 'order': 7, 'powers': [59, 59, 59, 1, 59], 'representative': 632290181880, 'size': 237600}
  • id: 105821312
    {'aut_label': '8A', 'centralizer': None, 'counter': 60, 'group_counter': 4, 'group_order': 79833600, 'label': '8A', 'order': 8, 'powers': [21, 60, 60, 60, 60], 'representative': 667507251743, 'size': 2494800}
  • id: 105821313
    {'aut_label': '8A', 'centralizer': None, 'counter': 61, 'group_counter': 4, 'group_order': 79833600, 'label': '8B', 'order': 8, 'powers': [21, 61, 61, 61, 61], 'representative': 6408471607, 'size': 2494800}
  • id: 105821314
    {'aut_label': '8A', 'centralizer': None, 'counter': 62, 'group_counter': 4, 'group_order': 79833600, 'label': '8C', 'order': 8, 'powers': [21, 62, 62, 62, 62], 'representative': 560480140216, 'size': 2494800}
  • id: 105821315
    {'aut_label': '8D', 'centralizer': None, 'counter': 63, 'group_counter': 4, 'group_order': 79833600, 'label': '8D', 'order': 8, 'powers': [21, 63, 63, 63, 63], 'representative': 15140210400, 'size': 2494800}
  • id: 105821316
    {'aut_label': '9A', 'centralizer': None, 'counter': 64, 'group_counter': 4, 'group_order': 79833600, 'label': '9A', 'order': 9, 'powers': [64, 15, 64, 64, 64], 'representative': 20700131760, 'size': 2217600}
  • id: 105821317
    {'aut_label': '10A', 'centralizer': None, 'counter': 65, 'group_counter': 4, 'group_order': 79833600, 'label': '10A', 'order': 10, 'powers': [28, 65, 2, 65, 65], 'representative': 729602944567, 'size': 11088}
  • id: 105821318
    {'aut_label': '10A', 'centralizer': None, 'counter': 66, 'group_counter': 4, 'group_order': 79833600, 'label': '10B', 'order': 10, 'powers': [28, 66, 3, 66, 66], 'representative': 529819728503, 'size': 11088}
  • id: 105821319
    {'aut_label': '10A', 'centralizer': None, 'counter': 67, 'group_counter': 4, 'group_order': 79833600, 'label': '10C', 'order': 10, 'powers': [28, 67, 4, 67, 67], 'representative': 56522597776, 'size': 11088}
  • id: 105821320
    {'aut_label': '10D', 'centralizer': None, 'counter': 68, 'group_counter': 4, 'group_order': 79833600, 'label': '10D', 'order': 10, 'powers': [28, 68, 5, 68, 68], 'representative': 211763513520, 'size': 498960}
  • id: 105821321
    {'aut_label': '10E', 'centralizer': None, 'counter': 69, 'group_counter': 4, 'group_order': 79833600, 'label': '10E', 'order': 10, 'powers': [28, 69, 7, 69, 69], 'representative': 53351399543, 'size': 498960}
  • id: 105821323
    {'aut_label': '10E', 'centralizer': None, 'counter': 70, 'group_counter': 4, 'group_order': 79833600, 'label': '10F', 'order': 10, 'powers': [28, 70, 6, 70, 70], 'representative': 180681671527, 'size': 498960}
  • id: 105821324
    {'aut_label': '10E', 'centralizer': None, 'counter': 71, 'group_counter': 4, 'group_order': 79833600, 'label': '10G', 'order': 10, 'powers': [28, 71, 8, 71, 71], 'representative': 706148191456, 'size': 498960}
  • id: 105821325
    {'aut_label': '10H', 'centralizer': None, 'counter': 72, 'group_counter': 4, 'group_order': 79833600, 'label': '10H', 'order': 10, 'powers': [29, 72, 4, 72, 72], 'representative': 319618995256, 'size': 798336}
  • id: 105821326
    {'aut_label': '10H', 'centralizer': None, 'counter': 73, 'group_counter': 4, 'group_order': 79833600, 'label': '10I', 'order': 10, 'powers': [29, 73, 2, 73, 73], 'representative': 261819145567, 'size': 798336}
  • id: 105821327
    {'aut_label': '10H', 'centralizer': None, 'counter': 74, 'group_counter': 4, 'group_order': 79833600, 'label': '10J', 'order': 10, 'powers': [29, 74, 3, 74, 74], 'representative': 45629989223, 'size': 798336}
  • id: 105821328
    {'aut_label': '11A1', 'centralizer': None, 'counter': 75, 'group_counter': 4, 'group_order': 79833600, 'label': '11A1', 'order': 11, 'powers': [76, 75, 75, 76, 1], 'representative': 720237334440, 'size': 1814400}
  • id: 105821329
    {'aut_label': '11A1', 'centralizer': None, 'counter': 76, 'group_counter': 4, 'group_order': 79833600, 'label': '11A-1', 'order': 11, 'powers': [75, 76, 76, 75, 1], 'representative': 557135243400, 'size': 1814400}
  • id: 105821330
    {'aut_label': '12A', 'centralizer': None, 'counter': 77, 'group_counter': 4, 'group_order': 79833600, 'label': '12A', 'order': 12, 'powers': [39, 22, 77, 77, 77], 'representative': 263622644663, 'size': 415800}
  • id: 105821331
    {'aut_label': '12A', 'centralizer': None, 'counter': 78, 'group_counter': 4, 'group_order': 79833600, 'label': '12B', 'order': 12, 'powers': [39, 24, 78, 78, 78], 'representative': 207451244896, 'size': 415800}
  • id: 105821332
    {'aut_label': '12C', 'centralizer': None, 'counter': 79, 'group_counter': 4, 'group_order': 79833600, 'label': '12C', 'order': 12, 'powers': [39, 21, 79, 79, 79], 'representative': 496026251280, 'size': 415800}
  • id: 105821334
    {'aut_label': '12A', 'centralizer': None, 'counter': 80, 'group_counter': 4, 'group_order': 79833600, 'label': '12D', 'order': 12, 'powers': [39, 27, 80, 80, 80], 'representative': 375700642687, 'size': 415800}
  • id: 105821335
    {'aut_label': '12E', 'centralizer': None, 'counter': 81, 'group_counter': 4, 'group_order': 79833600, 'label': '12E', 'order': 12, 'powers': [41, 16, 81, 81, 81], 'representative': 90099530647, 'size': 831600}
  • id: 105821336
    {'aut_label': '12F', 'centralizer': None, 'counter': 82, 'group_counter': 4, 'group_order': 79833600, 'label': '12F', 'order': 12, 'powers': [41, 17, 82, 82, 82], 'representative': 25568531280, 'size': 831600}
  • id: 105821337
    {'aut_label': '12E', 'centralizer': None, 'counter': 83, 'group_counter': 4, 'group_order': 79833600, 'label': '12G', 'order': 12, 'powers': [41, 19, 83, 83, 83], 'representative': 218074647623, 'size': 831600}
  • id: 105821338
    {'aut_label': '12E', 'centralizer': None, 'counter': 84, 'group_counter': 4, 'group_order': 79833600, 'label': '12H', 'order': 12, 'powers': [41, 18, 84, 84, 84], 'representative': 879698464576, 'size': 831600}
  • id: 105821339
    {'aut_label': '12I', 'centralizer': None, 'counter': 85, 'group_counter': 4, 'group_order': 79833600, 'label': '12I', 'order': 12, 'powers': [47, 20, 85, 85, 85], 'representative': 22536395280, 'size': 1663200}
  • id: 105821340
    {'aut_label': '12J', 'centralizer': None, 'counter': 86, 'group_counter': 4, 'group_order': 79833600, 'label': '12J', 'order': 12, 'powers': [47, 23, 86, 86, 86], 'representative': 289857708016, 'size': 1663200}
  • id: 105821341
    {'aut_label': '12J', 'centralizer': None, 'counter': 87, 'group_counter': 4, 'group_order': 79833600, 'label': '12K', 'order': 12, 'powers': [47, 25, 87, 87, 87], 'representative': 493067288303, 'size': 1663200}
  • id: 105821342
    {'aut_label': '12J', 'centralizer': None, 'counter': 88, 'group_counter': 4, 'group_order': 79833600, 'label': '12L', 'order': 12, 'powers': [47, 26, 88, 88, 88], 'representative': 26836871047, 'size': 1663200}
  • id: 105821343
    {'aut_label': '14A', 'centralizer': None, 'counter': 89, 'group_counter': 4, 'group_order': 79833600, 'label': '14A', 'order': 14, 'powers': [59, 89, 89, 3, 89], 'representative': 885482444903, 'size': 237600}
  • id: 105821345
    {'aut_label': '14A', 'centralizer': None, 'counter': 90, 'group_counter': 4, 'group_order': 79833600, 'label': '14B', 'order': 14, 'powers': [59, 90, 90, 4, 90], 'representative': 2443801816, 'size': 237600}
  • id: 105821346
    {'aut_label': '14A', 'centralizer': None, 'counter': 91, 'group_counter': 4, 'group_order': 79833600, 'label': '14C', 'order': 14, 'powers': [59, 91, 91, 2, 91], 'representative': 816307359967, 'size': 237600}
  • id: 105821347
    {'aut_label': '14D', 'centralizer': None, 'counter': 92, 'group_counter': 4, 'group_order': 79833600, 'label': '14D', 'order': 14, 'powers': [59, 92, 92, 7, 92], 'representative': 313485304343, 'size': 712800}
  • id: 105821348
    {'aut_label': '14D', 'centralizer': None, 'counter': 93, 'group_counter': 4, 'group_order': 79833600, 'label': '14E', 'order': 14, 'powers': [59, 93, 93, 8, 93], 'representative': 669892165936, 'size': 712800}
  • id: 105821349
    {'aut_label': '14D', 'centralizer': None, 'counter': 94, 'group_counter': 4, 'group_order': 79833600, 'label': '14F', 'order': 14, 'powers': [59, 94, 94, 6, 94], 'representative': 563844880087, 'size': 712800}
  • id: 105821350
    {'aut_label': '14G', 'centralizer': None, 'counter': 95, 'group_counter': 4, 'group_order': 79833600, 'label': '14G', 'order': 14, 'powers': [59, 95, 95, 5, 95], 'representative': 274758398760, 'size': 712800}
  • id: 105821351
    {'aut_label': '15A', 'centralizer': None, 'counter': 96, 'group_counter': 4, 'group_order': 79833600, 'label': '15A', 'order': 15, 'powers': [96, 28, 14, 96, 96], 'representative': 462890267400, 'size': 443520}
  • id: 105821352
    {'aut_label': '15B', 'centralizer': None, 'counter': 97, 'group_counter': 4, 'group_order': 79833600, 'label': '15B', 'order': 15, 'powers': [97, 28, 13, 97, 97], 'representative': 12991593720, 'size': 443520}
  • id: 105821353
    {'aut_label': '18A', 'centralizer': None, 'counter': 98, 'group_counter': 4, 'group_order': 79833600, 'label': '18A', 'order': 18, 'powers': [64, 44, 98, 98, 98], 'representative': 28359920287, 'size': 2217600}
  • id: 105821354
    {'aut_label': '18A', 'centralizer': None, 'counter': 99, 'group_counter': 4, 'group_order': 79833600, 'label': '18B', 'order': 18, 'powers': [64, 45, 99, 99, 99], 'representative': 120959239816, 'size': 2217600}
  • id: 105821233
    {'aut_label': '18A', 'centralizer': None, 'counter': 100, 'group_counter': 4, 'group_order': 79833600, 'label': '18C', 'order': 18, 'powers': [64, 46, 100, 100, 100], 'representative': 917411534663, 'size': 2217600}
  • id: 105821234
    {'aut_label': '20A', 'centralizer': None, 'counter': 101, 'group_counter': 4, 'group_order': 79833600, 'label': '20A', 'order': 20, 'powers': [68, 101, 16, 101, 101], 'representative': 495458989207, 'size': 997920}
  • id: 105821235
    {'aut_label': '20B', 'centralizer': None, 'counter': 102, 'group_counter': 4, 'group_order': 79833600, 'label': '20B', 'order': 20, 'powers': [68, 102, 17, 102, 102], 'representative': 302455174440, 'size': 997920}
  • id: 105821236
    {'aut_label': '20A', 'centralizer': None, 'counter': 103, 'group_counter': 4, 'group_order': 79833600, 'label': '20C', 'order': 20, 'powers': [68, 103, 18, 103, 103], 'representative': 567341229736, 'size': 997920}
  • id: 105821237
    {'aut_label': '20A', 'centralizer': None, 'counter': 104, 'group_counter': 4, 'group_order': 79833600, 'label': '20D', 'order': 20, 'powers': [68, 104, 19, 104, 104], 'representative': 95453537903, 'size': 997920}
  • id: 105821238
    {'aut_label': '21A1', 'centralizer': None, 'counter': 105, 'group_counter': 4, 'group_order': 79833600, 'label': '21A1', 'order': 21, 'powers': [106, 59, 105, 13, 106], 'representative': 137283033720, 'size': 950400}
  • id: 105821239
    {'aut_label': '21A1', 'centralizer': None, 'counter': 106, 'group_counter': 4, 'group_order': 79833600, 'label': '21A2', 'order': 21, 'powers': [105, 59, 106, 13, 105], 'representative': 828721168680, 'size': 950400}
  • id: 105821240
    {'aut_label': '22A1', 'centralizer': None, 'counter': 107, 'group_counter': 4, 'group_order': 79833600, 'label': '22A1', 'order': 22, 'powers': [75, 107, 107, 108, 2], 'representative': 264141457207, 'size': 1814400}
  • id: 105821241
    {'aut_label': '22A1', 'centralizer': None, 'counter': 108, 'group_counter': 4, 'group_order': 79833600, 'label': '22A-1', 'order': 22, 'powers': [76, 108, 108, 107, 2], 'representative': 121688985727, 'size': 1814400}
  • id: 105821242
    {'aut_label': '22A1', 'centralizer': None, 'counter': 109, 'group_counter': 4, 'group_order': 79833600, 'label': '22B1', 'order': 22, 'powers': [75, 109, 109, 110, 3], 'representative': 583185214943, 'size': 1814400}
  • id: 105821244
    {'aut_label': '22A1', 'centralizer': None, 'counter': 110, 'group_counter': 4, 'group_order': 79833600, 'label': '22B-1', 'order': 22, 'powers': [76, 110, 110, 109, 3], 'representative': 388653200783, 'size': 1814400}
  • id: 105821245
    {'aut_label': '22A1', 'centralizer': None, 'counter': 111, 'group_counter': 4, 'group_order': 79833600, 'label': '22C1', 'order': 22, 'powers': [76, 111, 111, 112, 4], 'representative': 370363724776, 'size': 1814400}
  • id: 105821246
    {'aut_label': '22A1', 'centralizer': None, 'counter': 112, 'group_counter': 4, 'group_order': 79833600, 'label': '22C-1', 'order': 22, 'powers': [75, 112, 112, 111, 4], 'representative': 736267276096, 'size': 1814400}
  • id: 105821247
    {'aut_label': '30A', 'centralizer': None, 'counter': 113, 'group_counter': 4, 'group_order': 79833600, 'label': '30A', 'order': 30, 'powers': [96, 65, 33, 113, 113], 'representative': 352837341487, 'size': 443520}
  • id: 105821248
    {'aut_label': '30A', 'centralizer': None, 'counter': 114, 'group_counter': 4, 'group_order': 79833600, 'label': '30B', 'order': 30, 'powers': [96, 66, 34, 114, 114], 'representative': 624422671943, 'size': 443520}
  • id: 105821249
    {'aut_label': '30C', 'centralizer': None, 'counter': 115, 'group_counter': 4, 'group_order': 79833600, 'label': '30C', 'order': 30, 'powers': [97, 67, 31, 115, 115], 'representative': 50575448896, 'size': 443520}
  • id: 105821250
    {'aut_label': '30C', 'centralizer': None, 'counter': 116, 'group_counter': 4, 'group_order': 79833600, 'label': '30D', 'order': 30, 'powers': [97, 65, 32, 116, 116], 'representative': 494382360967, 'size': 443520}
  • id: 105821251
    {'aut_label': '30C', 'centralizer': None, 'counter': 117, 'group_counter': 4, 'group_order': 79833600, 'label': '30E', 'order': 30, 'powers': [97, 66, 30, 117, 117], 'representative': 10241694863, 'size': 443520}
  • id: 105821252
    {'aut_label': '30A', 'centralizer': None, 'counter': 118, 'group_counter': 4, 'group_order': 79833600, 'label': '30F', 'order': 30, 'powers': [96, 67, 35, 118, 118], 'representative': 822142913776, 'size': 443520}
  • id: 105821253
    {'aut_label': '42A1', 'centralizer': None, 'counter': 119, 'group_counter': 4, 'group_order': 79833600, 'label': '42A1', 'order': 42, 'powers': [105, 89, 119, 30, 120], 'representative': 320500455143, 'size': 950400}
  • id: 105821255
    {'aut_label': '42A1', 'centralizer': None, 'counter': 120, 'group_counter': 4, 'group_order': 79833600, 'label': '42A11', 'order': 42, 'powers': [106, 89, 120, 30, 119], 'representative': 828721491263, 'size': 950400}
  • id: 105821256
    {'aut_label': '42A1', 'centralizer': None, 'counter': 121, 'group_counter': 4, 'group_order': 79833600, 'label': '42B1', 'order': 42, 'powers': [106, 90, 121, 31, 122], 'representative': 263451661936, 'size': 950400}
  • id: 105821257
    {'aut_label': '42A1', 'centralizer': None, 'counter': 122, 'group_counter': 4, 'group_order': 79833600, 'label': '42B11', 'order': 42, 'powers': [105, 90, 122, 31, 121], 'representative': 103479386416, 'size': 950400}
  • id: 105821258
    {'aut_label': '42A1', 'centralizer': None, 'counter': 123, 'group_counter': 4, 'group_order': 79833600, 'label': '42C1', 'order': 42, 'powers': [105, 91, 123, 32, 124], 'representative': 496021489327, 'size': 950400}
  • id: 105821259
    {'aut_label': '42A1', 'centralizer': None, 'counter': 124, 'group_counter': 4, 'group_order': 79833600, 'label': '42C11', 'order': 42, 'powers': [106, 91, 124, 32, 123], 'representative': 713923344007, 'size': 950400}
• gps_qchar •

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

  
  
  • id: 3626127
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626155
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626166
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626177
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626188
    {'cdim': 10, 'counter': 5, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.10a', 'multiplicity': 1, 'nt': [11, 7], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 6, 6, 6, 6, 2, 2, 2, 2, 7, 4, 1, 4, 4, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 5, 0, 7, 7, 7, 4, 4, 4, -1, -1, -1, -1, 3, 3, 3, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, 3, 0, 0, 0, 0, 1, 5, 5, 5, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 3, -1, -1, -1, -1, -1, 2, 1, 1, 1, -1, -1, -1, -1, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626199
    {'cdim': 10, 'counter': 6, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.10b', 'multiplicity': 1, 'nt': [22, 46], 'qdim': 10, 'qvalues': [10, -10, -10, 10, 6, 6, -6, -6, 2, 2, -2, -2, 7, 4, 1, 4, 4, -4, -4, 0, 0, -2, 2, -2, 0, 0, 2, 5, 0, -7, -7, 7, 4, -4, -4, -1, 1, 1, -1, 3, 3, -3, -3, 1, -1, -1, 0, 0, 0, 0, -2, 2, 2, -2, 1, -1, -1, 1, 3, 0, 0, 0, 0, 1, 5, -5, -5, 1, -1, 1, -1, 0, 0, 0, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 0, 0, 0, 0, 3, -3, -3, -1, 1, 1, -1, -1, 2, -1, 1, -1, -1, -1, 1, 1, 0, 0, -1, 1, 1, 1, 1, -1, -1, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626210
    {'cdim': 10, 'counter': 7, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.10c', 'multiplicity': 1, 'nt': [22, 46], 'qdim': 10, 'qvalues': [10, -10, 10, -10, 6, -6, -6, 6, -2, 2, 2, -2, 7, 4, 1, -4, 4, 4, -4, 0, 0, -2, -2, 2, 0, 0, 2, 5, 0, -7, 7, -7, -4, -4, 4, 1, -1, 1, -1, 3, -3, 3, -3, -1, 1, -1, 0, 0, 0, 0, 2, -2, 2, -2, -1, -1, 1, 1, 3, 0, 0, 0, 0, 1, -5, -5, 5, 1, -1, -1, 1, 0, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 0, 0, 0, 0, -3, -3, 3, -1, -1, 1, 1, -1, 2, -1, -1, 1, 1, -1, -1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 1, 1, 2, -2, -2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626221
    {'cdim': 10, 'counter': 8, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.10d', 'multiplicity': 1, 'nt': [22, 46], 'qdim': 10, 'qvalues': [10, 10, -10, -10, 6, -6, 6, -6, -2, 2, -2, 2, 7, 4, 1, -4, 4, -4, 4, 0, 0, 2, -2, -2, 0, 0, 2, 5, 0, 7, -7, -7, -4, 4, -4, 1, 1, -1, -1, 3, -3, -3, 3, -1, -1, 1, 0, 0, 0, 0, -2, -2, 2, 2, 1, -1, 1, -1, 3, 0, 0, 0, 0, 1, -5, 5, -5, 1, 1, -1, -1, 0, 0, 0, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, -3, 3, -3, -1, 1, -1, 1, -1, 2, 1, -1, -1, 1, -1, 1, -1, 0, 0, 1, 1, -1, -1, 1, 1, 1, -1, -2, -2, 2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626232
    {'cdim': 44, 'counter': 9, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.44a', 'multiplicity': 1, 'nt': [55, 0], 'qdim': 44, 'qvalues': [44, 44, 44, 44, 16, 16, 16, 16, 4, 4, 4, 4, 20, 5, -1, 6, 6, 6, 6, 2, 2, 0, 0, 0, 2, 2, 0, 9, -1, 20, 20, 20, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, -1, 9, 9, 9, 1, 1, 1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 0, 0, -1, -1, -1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626128
    {'cdim': 44, 'counter': 10, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.44b', 'multiplicity': 1, 'nt': [110, 0], 'qdim': 44, 'qvalues': [44, -44, -44, 44, 16, 16, -16, -16, 4, 4, -4, -4, 20, 5, -1, 6, 6, -6, -6, 2, -2, 0, 0, 0, -2, 2, 0, 9, -1, -20, -20, 20, 5, -5, -5, 4, -4, -4, 4, 4, 4, -4, -4, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 2, 0, 0, 0, 0, -1, 9, -9, -9, 1, -1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 2, -2, -2, 2, -2, -2, 2, 0, 0, 1, -1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626139
    {'cdim': 44, 'counter': 11, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.44c', 'multiplicity': 1, 'nt': [110, 0], 'qdim': 44, 'qvalues': [44, -44, 44, -44, 16, -16, -16, 16, -4, 4, 4, -4, 20, 5, -1, -6, 6, 6, -6, 2, 2, 0, 0, 0, -2, -2, 0, 9, -1, -20, 20, -20, -5, -5, 5, -4, 4, -4, 4, 4, -4, 4, -4, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 2, 0, 0, 0, 0, -1, -9, -9, 9, 1, -1, -1, 1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -2, -2, 2, 2, 2, -2, -2, 0, 0, 1, 1, -1, -1, 1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626147
    {'cdim': 44, 'counter': 12, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.44d', 'multiplicity': 1, 'nt': [110, 0], 'qdim': 44, 'qvalues': [44, 44, -44, -44, 16, -16, 16, -16, -4, 4, -4, 4, 20, 5, -1, -6, 6, -6, 6, 2, -2, 0, 0, 0, 2, -2, 0, 9, -1, 20, -20, -20, -5, 5, -5, -4, -4, 4, 4, 4, -4, -4, 4, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 2, 0, 0, 0, 0, -1, -9, 9, -9, 1, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -2, 2, -2, 2, -2, 2, -2, 0, 0, -1, 1, 1, -1, 1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626148
    {'cdim': 45, 'counter': 13, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.45a', 'multiplicity': 1, 'nt': [110, 0], 'qdim': 45, 'qvalues': [45, -45, -45, 45, 13, 13, -13, -13, -3, -3, 3, 3, 21, 6, 0, 5, 5, -5, -5, -3, 3, -1, 1, -1, 3, -3, 1, 10, 0, -21, -21, 21, 6, -6, -6, -3, 3, 3, -3, 1, 1, -1, -1, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, 1, -1, 0, 10, -10, -10, -2, 2, -2, 2, 0, 0, 0, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 3, -3, -3, -1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626149
    {'cdim': 45, 'counter': 14, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.45b', 'multiplicity': 1, 'nt': [110, 0], 'qdim': 45, 'qvalues': [45, -45, 45, -45, 13, -13, -13, 13, 3, -3, -3, 3, 21, 6, 0, -5, 5, 5, -5, -3, -3, -1, -1, 1, 3, 3, 1, 10, 0, -21, 21, -21, -6, -6, 6, 3, -3, 3, -3, 1, -1, 1, -1, 0, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, -1, -1, 0, -10, -10, 10, -2, 2, 2, -2, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 0, 0, 0, 0, -3, -3, 3, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626150
    {'cdim': 45, 'counter': 15, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.45c', 'multiplicity': 1, 'nt': [110, 0], 'qdim': 45, 'qvalues': [45, 45, -45, -45, 13, -13, 13, -13, 3, -3, 3, -3, 21, 6, 0, -5, 5, -5, 5, -3, 3, 1, -1, -1, -3, 3, 1, 10, 0, 21, -21, -21, -6, 6, -6, 3, 3, -3, -3, 1, -1, -1, 1, 0, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, 1, 1, -1, 0, -10, 10, -10, -2, -2, 2, 2, 0, 0, 0, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, -3, 3, -3, -1, 1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626151
    {'cdim': 45, 'counter': 16, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.45d', 'multiplicity': 1, 'nt': [110, 0], 'qdim': 45, 'qvalues': [45, 45, 45, 45, 13, 13, 13, 13, -3, -3, -3, -3, 21, 6, 0, 5, 5, 5, 5, -3, -3, 1, 1, 1, -3, -3, 1, 10, 0, 21, 21, 21, 6, 6, 6, -3, -3, -3, -3, 1, 1, 1, 1, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 3, -1, -1, -1, -1, 0, 10, 10, 10, -2, -2, -2, -2, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 3, 3, 3, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626152
    {'cdim': 110, 'counter': 17, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.110a', 'multiplicity': 1, 'nt': [165, 0], 'qdim': 110, 'qvalues': [110, 110, 110, 110, 26, 26, 26, 26, 6, 6, 6, 6, 29, 2, 2, 4, 4, 4, 4, 0, 0, -2, -2, -2, 0, 0, -2, 5, 0, 29, 29, 29, 2, 2, 2, -3, -3, -3, -3, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 5, 5, 5, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1, -1, 2, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626153
    {'cdim': 110, 'counter': 18, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.110b', 'multiplicity': 1, 'nt': [330, 0], 'qdim': 110, 'qvalues': [110, -110, -110, 110, 26, 26, -26, -26, 6, 6, -6, -6, 29, 2, 2, 4, 4, -4, -4, 0, 0, 2, -2, 2, 0, 0, -2, 5, 0, -29, -29, 29, 2, -2, -2, -3, 3, 3, -3, 5, 5, -5, -5, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 5, -5, -5, 1, -1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, -1, 1, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, -2, 2, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, -2, 1, -1, 1, -2, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626154
    {'cdim': 110, 'counter': 19, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.110c', 'multiplicity': 1, 'nt': [330, 0], 'qdim': 110, 'qvalues': [110, -110, 110, -110, 26, -26, -26, 26, -6, 6, 6, -6, 29, 2, 2, -4, 4, 4, -4, 0, 0, 2, 2, -2, 0, 0, -2, 5, 0, -29, 29, -29, -2, -2, 2, 3, -3, 3, -3, 5, -5, 5, -5, -2, 2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, -5, -5, 5, 1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 1, 1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, 2, 2, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -2, -2, -1, 1, 1, 2, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626156
    {'cdim': 110, 'counter': 20, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.110d', 'multiplicity': 1, 'nt': [330, 0], 'qdim': 110, 'qvalues': [110, 110, -110, -110, 26, -26, 26, -26, -6, 6, -6, 6, 29, 2, 2, -4, 4, -4, 4, 0, 0, -2, 2, 2, 0, 0, -2, 5, 0, 29, -29, -29, -2, 2, -2, 3, 3, -3, -3, 5, -5, -5, 5, -2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, -5, 5, -5, 1, 1, -1, -1, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 2, -2, 2, -2, 2, -2, 2, 2, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, -2, 2, 1, 1, -1, -2, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626157
    {'cdim': 120, 'counter': 21, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.120a', 'multiplicity': 1, 'nt': [330, 0], 'qdim': 120, 'qvalues': [120, -120, -120, 120, 8, 8, -8, -8, -8, -8, 8, 8, 36, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -36, -36, 36, 6, -6, -6, 4, -4, -4, 4, -4, -4, 4, 4, 3, -3, -3, 2, 2, -2, -2, 2, -2, -2, 2, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 10, -10, -10, -2, 2, -2, 2, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626158
    {'cdim': 120, 'counter': 22, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.120b', 'multiplicity': 1, 'nt': [330, 0], 'qdim': 120, 'qvalues': [120, -120, 120, -120, 8, -8, -8, 8, 8, -8, -8, 8, 36, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -36, 36, -36, -6, -6, 6, -4, 4, -4, 4, -4, 4, -4, 4, -3, 3, -3, 2, -2, 2, -2, -2, 2, -2, 2, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, -10, -10, 10, -2, 2, 2, -2, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626159
    {'cdim': 120, 'counter': 23, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.120c', 'multiplicity': 1, 'nt': [330, 0], 'qdim': 120, 'qvalues': [120, 120, -120, -120, 8, -8, 8, -8, 8, -8, 8, -8, 36, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 36, -36, -36, -6, 6, -6, -4, -4, 4, 4, -4, 4, 4, -4, -3, -3, 3, 2, -2, -2, 2, 2, 2, -2, -2, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, -10, 10, -10, -2, -2, 2, 2, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626160
    {'cdim': 120, 'counter': 24, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.120d', 'multiplicity': 1, 'nt': [330, 0], 'qdim': 120, 'qvalues': [120, 120, 120, 120, 8, 8, 8, 8, -8, -8, -8, -8, 36, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 36, 36, 36, 6, 6, 6, 4, 4, 4, 4, -4, -4, -4, -4, 3, 3, 3, 2, 2, 2, 2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 10, 10, 10, -2, -2, -2, -2, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626165
    {'cdim': 132, 'counter': 29, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.132a', 'multiplicity': 1, 'nt': [462, 0], 'qdim': 132, 'qvalues': [132, 132, 132, 132, 20, 20, 20, 20, 4, 4, 4, 4, 6, 6, -3, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, -8, 2, 6, 6, 6, 6, 6, 6, -2, -2, -2, -2, 2, 2, 2, 2, -3, -3, -3, 2, 2, 2, 2, -2, -2, -2, -2, 1, 1, 1, 1, -1, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 2, 2, 2, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626167
    {'cdim': 132, 'counter': 30, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.132b', 'multiplicity': 1, 'nt': [924, 0], 'qdim': 132, 'qvalues': [132, -132, -132, 132, 20, 20, -20, -20, 4, 4, -4, -4, 6, 6, -3, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 4, -8, 2, -6, -6, 6, 6, -6, -6, -2, 2, 2, -2, 2, 2, -2, -2, -3, 3, 3, 2, 2, -2, -2, 2, -2, -2, 2, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, -8, 8, 8, 0, 0, 0, 0, 2, -2, -2, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626168
    {'cdim': 132, 'counter': 31, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.132c', 'multiplicity': 1, 'nt': [924, 0], 'qdim': 132, 'qvalues': [132, -132, 132, -132, 20, -20, -20, 20, -4, 4, 4, -4, 6, 6, -3, 0, 0, 0, 0, 0, 0, -4, -4, 4, 0, 0, 4, -8, 2, -6, 6, -6, -6, -6, 6, 2, -2, 2, -2, 2, -2, 2, -2, 3, -3, 3, 2, -2, 2, -2, -2, 2, -2, 2, 1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 8, 8, -8, 0, 0, 0, 0, -2, -2, 2, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626169
    {'cdim': 132, 'counter': 32, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.132d', 'multiplicity': 1, 'nt': [924, 0], 'qdim': 132, 'qvalues': [132, 132, -132, -132, 20, -20, 20, -20, -4, 4, -4, 4, 6, 6, -3, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, 0, 4, -8, 2, 6, -6, -6, -6, 6, -6, 2, 2, -2, -2, 2, -2, -2, 2, 3, 3, -3, 2, -2, -2, 2, 2, 2, -2, -2, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 8, -8, 8, 0, 0, 0, 0, -2, 2, -2, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626170
    {'cdim': 165, 'counter': 33, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.165a', 'multiplicity': 1, 'nt': [330, 0], 'qdim': 165, 'qvalues': [165, 165, 165, 165, 29, 29, 29, 29, 5, 5, 5, 5, 21, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -5, 0, 21, 21, 21, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -3, -1, -1, -1, -1, 0, -5, -5, -5, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -3, -3, -3, 1, 1, 1, 1, -2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626171
    {'cdim': 165, 'counter': 34, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.165b', 'multiplicity': 1, 'nt': [660, 0], 'qdim': 165, 'qvalues': [165, -165, -165, 165, 29, 29, -29, -29, 5, 5, -5, -5, 21, 3, 3, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -5, 0, -21, -21, 21, 3, -3, -3, 5, -5, -5, 5, 5, 5, -5, -5, 3, -3, -3, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -3, 1, -1, 1, -1, 0, -5, 5, 5, -1, 1, -1, 1, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -3, 3, 3, 1, -1, -1, 1, -2, 1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -1, 1, -1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626172
    {'cdim': 165, 'counter': 35, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.165c', 'multiplicity': 1, 'nt': [660, 0], 'qdim': 165, 'qvalues': [165, -165, 165, -165, 29, -29, -29, 29, -5, 5, 5, -5, 21, 3, 3, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -5, 0, -21, 21, -21, -3, -3, 3, -5, 5, -5, 5, 5, -5, 5, -5, -3, 3, -3, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -3, 1, 1, -1, -1, 0, 5, 5, -5, -1, 1, 1, -1, 0, 0, 0, 0, 0, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 3, 3, -3, 1, 1, -1, -1, -2, 1, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, -1, -1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626173
    {'cdim': 165, 'counter': 36, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.165d', 'multiplicity': 1, 'nt': [660, 0], 'qdim': 165, 'qvalues': [165, 165, -165, -165, 29, -29, 29, -29, -5, 5, -5, 5, 21, 3, 3, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -5, 0, 21, -21, -21, -3, 3, -3, -5, -5, 5, 5, 5, -5, -5, 5, -3, -3, 3, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -3, -1, 1, 1, -1, 0, 5, -5, 5, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 3, -3, 3, 1, -1, 1, -1, -2, 1, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, -1, 1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626174
    {'cdim': 210, 'counter': 37, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.210a', 'multiplicity': 1, 'nt': [660, 0], 'qdim': 210, 'qvalues': [210, -210, -210, 210, -14, -14, 14, 14, 2, 2, -2, -2, 42, 9, 3, -6, -6, 6, 6, 2, -2, 2, -2, 2, -2, 2, -2, 5, 0, -42, -42, 42, 9, -9, -9, 2, -2, -2, 2, -2, -2, 2, 2, 3, -3, -3, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 5, -5, -5, 1, -1, 1, -1, 0, 0, 0, 1, 1, 2, 2, -2, -2, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, -1, -1, 1, 1, 0, 0, 1, -1, -1, -1, -1, 1, -1, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626175
    {'cdim': 210, 'counter': 38, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.210b', 'multiplicity': 1, 'nt': [660, 0], 'qdim': 210, 'qvalues': [210, -210, 210, -210, -14, 14, 14, -14, -2, 2, 2, -2, 42, 9, 3, 6, -6, -6, 6, 2, 2, 2, 2, -2, -2, -2, -2, 5, 0, -42, 42, -42, -9, -9, 9, -2, 2, -2, 2, -2, 2, -2, 2, -3, 3, -3, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, -5, -5, 5, 1, -1, -1, 1, 0, 0, 0, 1, 1, 2, -2, -2, 2, 0, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 1, -1, -1, 1, 0, 0, -1, 1, -1, -1, 1, -1, 1, 1, 2, -2, -2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626176
    {'cdim': 210, 'counter': 39, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.210c', 'multiplicity': 1, 'nt': [660, 0], 'qdim': 210, 'qvalues': [210, 210, -210, -210, -14, 14, -14, 14, -2, 2, -2, 2, 42, 9, 3, 6, -6, 6, -6, 2, -2, -2, 2, 2, 2, -2, -2, 5, 0, 42, -42, -42, -9, 9, -9, -2, -2, 2, 2, -2, 2, 2, -2, -3, -3, 3, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, -5, 5, -5, 1, 1, -1, -1, 0, 0, 0, 1, 1, -2, 2, -2, 2, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 1, -1, 1, -1, 0, 0, -1, -1, 1, 1, -1, -1, 1, -1, -2, -2, 2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626178
    {'cdim': 210, 'counter': 40, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.210d', 'multiplicity': 1, 'nt': [660, 0], 'qdim': 210, 'qvalues': [210, 210, 210, 210, -14, -14, -14, -14, 2, 2, 2, 2, 42, 9, 3, -6, -6, -6, -6, 2, 2, -2, -2, -2, 2, 2, -2, 5, 0, 42, 42, 42, 9, 9, 9, 2, 2, 2, 2, -2, -2, -2, -2, 3, 3, 3, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 5, 5, 5, 1, 1, 1, 1, 0, 0, 0, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, -1, -1, -1, -1, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, 2, 2, 2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626179
    {'cdim': 231, 'counter': 41, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.231a', 'multiplicity': 1, 'nt': [495, 0], 'qdim': 231, 'qvalues': [231, 231, 231, 231, 35, 35, 35, 35, -1, -1, -1, -1, 63, 3, -3, 5, 5, 5, 5, 1, 1, -1, -1, -1, 1, 1, -1, 16, 1, 63, 63, 63, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -3, -3, -3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 1, 1, 1, 1, 0, 16, 16, 16, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626180
    {'cdim': 231, 'counter': 42, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.231b', 'multiplicity': 1, 'nt': [990, 0], 'qdim': 231, 'qvalues': [231, -231, -231, 231, 35, 35, -35, -35, -1, -1, 1, 1, 63, 3, -3, 5, 5, -5, -5, 1, -1, 1, -1, 1, -1, 1, -1, 16, 1, -63, -63, 63, 3, -3, -3, -1, 1, 1, -1, -1, -1, 1, 1, -3, 3, 3, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 0, -1, 1, -1, 1, 0, 16, -16, -16, 0, 0, 0, 0, 1, -1, -1, 0, 0, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626181
    {'cdim': 231, 'counter': 43, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.231c', 'multiplicity': 1, 'nt': [990, 0], 'qdim': 231, 'qvalues': [231, -231, 231, -231, 35, -35, -35, 35, 1, -1, -1, 1, 63, 3, -3, -5, 5, 5, -5, 1, 1, 1, 1, -1, -1, -1, -1, 16, 1, -63, 63, -63, -3, -3, 3, 1, -1, 1, -1, -1, 1, -1, 1, 3, -3, 3, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 0, -1, -1, 1, 1, 0, -16, -16, 16, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626182
    {'cdim': 231, 'counter': 44, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.231d', 'multiplicity': 1, 'nt': [990, 0], 'qdim': 231, 'qvalues': [231, 231, -231, -231, 35, -35, 35, -35, 1, -1, 1, -1, 63, 3, -3, -5, 5, -5, 5, 1, -1, -1, 1, 1, 1, -1, -1, 16, 1, 63, -63, -63, -3, 3, -3, 1, 1, -1, -1, -1, 1, 1, -1, 3, 3, -3, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 0, 1, -1, -1, 1, 0, -16, 16, -16, 0, 0, 0, 0, -1, 1, -1, 0, 0, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626161
    {'cdim': 126, 'counter': 25, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.126a', 'multiplicity': 2, 'nt': [924, 0], 'qdim': 252, 'qvalues': [252, -252, -252, 252, -28, -28, 28, 28, 12, 12, -12, -12, 42, 12, 0, -8, -8, 8, 8, 0, 0, 4, -4, 4, 0, 0, -4, 2, 2, -42, -42, 42, 12, -12, -12, -6, 6, 6, -6, 2, 2, -2, -2, 0, 0, 0, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -1, -1, -2, -2, 2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, -2, -2, 0, 0, -1, 1, 1, 1, 1, -1, 2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626162
    {'cdim': 126, 'counter': 26, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.126b', 'multiplicity': 2, 'nt': [924, 0], 'qdim': 252, 'qvalues': [252, -252, 252, -252, -28, 28, 28, -28, -12, 12, 12, -12, 42, 12, 0, 8, -8, -8, 8, 0, 0, 4, 4, -4, 0, 0, -4, 2, 2, -42, 42, -42, -12, -12, 12, 6, -6, 6, -6, 2, -2, 2, -2, 0, 0, 0, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -1, -1, -2, 2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, 2, 2, -2, 0, 0, 1, -1, 1, 1, -1, 1, -2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626163
    {'cdim': 126, 'counter': 27, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.126c', 'multiplicity': 2, 'nt': [924, 0], 'qdim': 252, 'qvalues': [252, 252, -252, -252, -28, 28, -28, 28, -12, 12, -12, 12, 42, 12, 0, 8, -8, 8, -8, 0, 0, -4, 4, 4, 0, 0, -4, 2, 2, 42, -42, -42, -12, 12, -12, 6, 6, -6, -6, 2, -2, -2, 2, 0, 0, 0, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -1, -1, 2, -2, 2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, 2, -2, 2, 0, 0, 1, 1, -1, -1, 1, 1, -2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626164
    {'cdim': 126, 'counter': 28, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.126d', 'multiplicity': 2, 'nt': [924, 0], 'qdim': 252, 'qvalues': [252, 252, 252, 252, -28, -28, -28, -28, 12, 12, 12, 12, 42, 12, 0, -8, -8, -8, -8, 0, 0, -4, -4, -4, 0, 0, -4, 2, 2, 42, 42, 42, 12, 12, 12, -6, -6, -6, -6, 2, 2, 2, 2, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626183
    {'cdim': 330, 'counter': 45, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.330a', 'multiplicity': 1, 'nt': [2772, 0], 'qdim': 330, 'qvalues': [330, -330, -330, 330, 22, 22, -22, -22, 2, 2, -2, -2, -6, 9, -3, 0, 0, 0, 0, -4, 4, -2, 2, -2, 4, -4, 2, -10, 0, 6, 6, -6, 9, -9, -9, 2, -2, -2, 2, -2, -2, 2, 2, -3, 3, 3, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, -10, 10, 10, 2, -2, 2, -2, 0, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626184
    {'cdim': 330, 'counter': 46, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.330b', 'multiplicity': 1, 'nt': [2772, 0], 'qdim': 330, 'qvalues': [330, -330, 330, -330, 22, -22, -22, 22, -2, 2, 2, -2, -6, 9, -3, 0, 0, 0, 0, -4, -4, -2, -2, 2, 4, 4, 2, -10, 0, 6, -6, 6, -9, -9, 9, -2, 2, -2, 2, -2, 2, -2, 2, 3, -3, 3, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 10, 10, -10, 2, -2, -2, 2, 0, 0, 0, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626185
    {'cdim': 330, 'counter': 47, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.330c', 'multiplicity': 1, 'nt': [2772, 0], 'qdim': 330, 'qvalues': [330, 330, -330, -330, 22, -22, 22, -22, -2, 2, -2, 2, -6, 9, -3, 0, 0, 0, 0, -4, 4, 2, -2, -2, -4, 4, 2, -10, 0, -6, 6, 6, -9, 9, -9, -2, -2, 2, 2, -2, 2, 2, -2, 3, 3, -3, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 10, -10, 10, 2, 2, -2, -2, 0, 0, 0, 0, 0, 2, -2, 2, -2, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626186
    {'cdim': 330, 'counter': 48, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.330d', 'multiplicity': 1, 'nt': [2772, 0], 'qdim': 330, 'qvalues': [330, 330, 330, 330, 22, 22, 22, 22, 2, 2, 2, 2, -6, 9, -3, 0, 0, 0, 0, -4, -4, 2, 2, 2, -4, -4, 2, -10, 0, -6, -6, -6, 9, 9, 9, 2, 2, 2, 2, -2, -2, -2, -2, -3, -3, -3, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 0, 0, 0, 0, 0, -10, -10, -10, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626187
    {'cdim': 385, 'counter': 49, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.385a', 'multiplicity': 1, 'nt': [990, 0], 'qdim': 385, 'qvalues': [385, 385, 385, 385, 21, 21, 21, 21, 9, 9, 9, 9, 49, -8, -2, -1, -1, -1, -1, 3, 3, 1, 1, 1, 3, 3, 1, 5, 0, 49, 49, 49, -8, -8, -8, 9, 9, 9, 9, -3, -3, -3, -3, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 5, 5, 5, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626189
    {'cdim': 385, 'counter': 50, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.385b', 'multiplicity': 1, 'nt': [1980, 0], 'qdim': 385, 'qvalues': [385, -385, -385, 385, 21, 21, -21, -21, 9, 9, -9, -9, 49, -8, -2, -1, -1, 1, 1, 3, -3, -1, 1, -1, -3, 3, 1, 5, 0, -49, -49, 49, -8, 8, 8, 9, -9, -9, 9, -3, -3, 3, 3, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, 5, -5, -5, 1, -1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 1, -1, 1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626190
    {'cdim': 385, 'counter': 51, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.385c', 'multiplicity': 1, 'nt': [1980, 0], 'qdim': 385, 'qvalues': [385, -385, 385, -385, 21, -21, -21, 21, -9, 9, 9, -9, 49, -8, -2, 1, -1, -1, 1, 3, 3, -1, -1, 1, -3, -3, 1, 5, 0, -49, 49, -49, 8, 8, -8, -9, 9, -9, 9, -3, 3, -3, 3, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -5, -5, 5, 1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -1, 1, 1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626191
    {'cdim': 385, 'counter': 52, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.385d', 'multiplicity': 1, 'nt': [1980, 0], 'qdim': 385, 'qvalues': [385, 385, -385, -385, 21, -21, 21, -21, -9, 9, -9, 9, 49, -8, -2, 1, -1, 1, -1, 3, -3, 1, -1, -1, 3, -3, 1, 5, 0, 49, -49, -49, 8, -8, 8, -9, -9, 9, 9, -3, 3, 3, -3, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, -5, 5, -5, 1, 1, -1, -1, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 1, 1, -1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626192
    {'cdim': 462, 'counter': 53, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.462a', 'multiplicity': 1, 'nt': [2520, 0], 'qdim': 462, 'qvalues': [462, 462, 462, 462, 14, 14, 14, 14, -2, -2, -2, -2, -42, 3, 3, -6, -6, -6, -6, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2, -42, -42, -42, 3, 3, 3, -2, -2, -2, -2, 2, 2, 2, 2, 3, 3, 3, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 7, 7, 7, -1, -1, -1, -1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626193
    {'cdim': 462, 'counter': 54, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.462b', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 462, 'qvalues': [462, -462, -462, 462, 14, 14, -14, -14, -2, -2, 2, 2, -42, 3, 3, -6, -6, 6, 6, 2, -2, -2, 2, -2, -2, 2, 2, 7, 2, 42, 42, -42, 3, -3, -3, -2, 2, 2, -2, 2, 2, -2, -2, 3, -3, -3, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 7, -7, -7, -1, 1, -1, 1, 2, -2, -2, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626194
    {'cdim': 462, 'counter': 55, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.462c', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 462, 'qvalues': [462, -462, 462, -462, 14, -14, -14, 14, 2, -2, -2, 2, -42, 3, 3, 6, -6, -6, 6, 2, 2, -2, -2, 2, -2, -2, 2, 7, 2, 42, -42, 42, -3, -3, 3, 2, -2, 2, -2, 2, -2, 2, -2, -3, 3, -3, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, -7, -7, 7, -1, 1, 1, -1, -2, -2, 2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626195
    {'cdim': 462, 'counter': 56, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.462d', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 462, 'qvalues': [462, 462, -462, -462, 14, -14, 14, -14, 2, -2, 2, -2, -42, 3, 3, 6, -6, 6, -6, 2, -2, 2, -2, -2, 2, -2, 2, 7, 2, -42, 42, 42, -3, 3, -3, 2, 2, -2, -2, 2, -2, -2, 2, -3, -3, 3, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, -7, 7, -7, -1, -1, 1, 1, -2, 2, -2, 0, 0, 2, -2, 2, -2, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626196
    {'cdim': 550, 'counter': 57, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.550a', 'multiplicity': 1, 'nt': [1320, 0], 'qdim': 550, 'qvalues': [550, 550, 550, 550, 50, 50, 50, 50, -2, -2, -2, -2, 70, -5, 1, 0, 0, 0, 0, -4, -4, -2, -2, -2, -4, -4, -2, 0, 0, 70, 70, 70, -5, -5, -5, -2, -2, -2, -2, 2, 2, 2, 2, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, -3, -3, -3, 1, 1, 1, 1, 0, 0, 1, 1, 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], 'schur_index': 1}
  • id: 3626197
    {'cdim': 550, 'counter': 58, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.550b', 'multiplicity': 1, 'nt': [1980, 0], 'qdim': 550, 'qvalues': [550, -550, -550, 550, 50, 50, -50, -50, -2, -2, 2, 2, 70, -5, 1, 0, 0, 0, 0, -4, 4, 2, -2, 2, 4, -4, -2, 0, 0, -70, -70, 70, -5, 5, 5, -2, 2, 2, -2, 2, 2, -2, -2, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 1, 1, -1, -1, -3, 3, 3, 1, -1, -1, 1, 0, 0, -1, 1, -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], 'schur_index': 1}
  • id: 3626198
    {'cdim': 550, 'counter': 59, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.550c', 'multiplicity': 1, 'nt': [1980, 0], 'qdim': 550, 'qvalues': [550, -550, 550, -550, 50, -50, -50, 50, 2, -2, -2, 2, 70, -5, 1, 0, 0, 0, 0, -4, -4, 2, 2, -2, 4, 4, -2, 0, 0, -70, 70, -70, 5, 5, -5, 2, -2, 2, -2, 2, -2, 2, -2, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, -1, 1, -1, 1, 3, 3, -3, 1, 1, -1, -1, 0, 0, -1, -1, 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], 'schur_index': 1}
  • id: 3626200
    {'cdim': 550, 'counter': 60, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.550d', 'multiplicity': 1, 'nt': [1980, 0], 'qdim': 550, 'qvalues': [550, 550, -550, -550, 50, -50, 50, -50, 2, -2, 2, -2, 70, -5, 1, 0, 0, 0, 0, -4, 4, -2, 2, 2, -4, 4, -2, 0, 0, 70, -70, -70, 5, -5, 5, 2, 2, -2, -2, 2, -2, -2, 2, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 1, -1, -1, 1, 3, -3, 3, 1, -1, 1, -1, 0, 0, 1, -1, -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], 'schur_index': 1}
  • id: 3626201
    {'cdim': 594, 'counter': 61, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.594a', 'multiplicity': 1, 'nt': [1980, 0], 'qdim': 594, 'qvalues': [594, -594, -594, 594, 6, 6, -6, -6, -6, -6, 6, 6, 90, 0, 0, -4, -4, 4, 4, 0, 0, -2, 2, -2, 0, 0, 2, 9, -1, -90, -90, 90, 0, 0, 0, -6, 6, 6, -6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 9, -9, -9, 1, -1, 1, -1, -1, 1, 1, 0, 0, -2, -2, 2, 2, 2, -2, -2, 2, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626202
    {'cdim': 594, 'counter': 62, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.594b', 'multiplicity': 1, 'nt': [1980, 0], 'qdim': 594, 'qvalues': [594, -594, 594, -594, 6, -6, -6, 6, 6, -6, -6, 6, 90, 0, 0, 4, -4, -4, 4, 0, 0, -2, -2, 2, 0, 0, 2, 9, -1, -90, 90, -90, 0, 0, 0, 6, -6, 6, -6, -6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -9, -9, 9, 1, -1, -1, 1, 1, 1, -1, 0, 0, -2, 2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626203
    {'cdim': 594, 'counter': 63, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.594c', 'multiplicity': 1, 'nt': [1980, 0], 'qdim': 594, 'qvalues': [594, 594, -594, -594, 6, -6, 6, -6, 6, -6, 6, -6, 90, 0, 0, 4, -4, 4, -4, 0, 0, 2, -2, -2, 0, 0, 2, 9, -1, 90, -90, -90, 0, 0, 0, 6, 6, -6, -6, -6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -9, 9, -9, 1, 1, -1, -1, 1, -1, 1, 0, 0, 2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626204
    {'cdim': 594, 'counter': 64, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.594d', 'multiplicity': 1, 'nt': [1980, 0], 'qdim': 594, 'qvalues': [594, 594, 594, 594, 6, 6, 6, 6, -6, -6, -6, -6, 90, 0, 0, -4, -4, -4, -4, 0, 0, 2, 2, 2, 0, 0, 2, 9, -1, 90, 90, 90, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 9, 9, 9, 1, 1, 1, 1, -1, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626209
    {'cdim': 660, 'counter': 69, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.660a', 'multiplicity': 1, 'nt': [5544, 0], 'qdim': 660, 'qvalues': [660, -660, -660, 660, 16, 16, -16, -16, -4, -4, 4, 4, -36, -3, 3, -6, -6, 6, 6, -2, 2, 0, 0, 0, 2, -2, 0, 5, 0, 36, 36, -36, -3, 3, 3, -4, 4, 4, -4, 4, 4, -4, -4, 3, -3, -3, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 2, 0, 0, 0, 0, 0, 5, -5, -5, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 2, -2, -2, 2, -2, -2, 2, 2, -1, 0, 0, 0, -1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 2, -2, 1, -1, 1, -2, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626211
    {'cdim': 660, 'counter': 70, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.660b', 'multiplicity': 1, 'nt': [5544, 0], 'qdim': 660, 'qvalues': [660, -660, 660, -660, 16, -16, -16, 16, 4, -4, -4, 4, -36, -3, 3, 6, -6, -6, 6, -2, -2, 0, 0, 0, 2, 2, 0, 5, 0, 36, -36, 36, 3, 3, -3, 4, -4, 4, -4, 4, -4, 4, -4, -3, 3, -3, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 2, 0, 0, 0, 0, 0, -5, -5, 5, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -2, -2, 2, 2, 2, -2, -2, 2, -1, 0, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, -2, -2, -1, 1, 1, 2, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626212
    {'cdim': 660, 'counter': 71, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.660c', 'multiplicity': 1, 'nt': [5544, 0], 'qdim': 660, 'qvalues': [660, 660, -660, -660, 16, -16, 16, -16, 4, -4, 4, -4, -36, -3, 3, 6, -6, 6, -6, -2, 2, 0, 0, 0, -2, 2, 0, 5, 0, -36, 36, 36, 3, -3, 3, 4, 4, -4, -4, 4, -4, -4, 4, -3, -3, 3, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 2, 0, 0, 0, 0, 0, -5, 5, -5, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, -2, 2, -2, 2, -2, 2, -2, 2, -1, 0, 0, 0, 1, -1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -2, 2, 1, 1, -1, -2, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626213
    {'cdim': 660, 'counter': 72, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.660d', 'multiplicity': 1, 'nt': [5544, 0], 'qdim': 660, 'qvalues': [660, 660, 660, 660, 16, 16, 16, 16, -4, -4, -4, -4, -36, -3, 3, -6, -6, -6, -6, -2, -2, 0, 0, 0, -2, -2, 0, 5, 0, -36, -36, -36, -3, -3, -3, -4, -4, -4, -4, 4, 4, 4, 4, 3, 3, 3, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0, 0, 5, 5, 5, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, -1, 0, 0, 0, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626214
    {'cdim': 693, 'counter': 73, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.693a', 'multiplicity': 1, 'nt': [1386, 0], 'qdim': 693, 'qvalues': [693, 693, 693, 693, 49, 49, 49, 49, -3, -3, -3, -3, 21, 6, 0, -1, -1, -1, -1, 3, 3, 1, 1, 1, 3, 3, 1, -17, -2, 21, 21, 21, 6, 6, 6, -3, -3, -3, -3, 1, 1, 1, 1, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, -17, -17, -17, -1, -1, -1, -1, -2, -2, -2, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626215
    {'cdim': 693, 'counter': 74, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.693b', 'multiplicity': 1, 'nt': [2772, 0], 'qdim': 693, 'qvalues': [693, -693, -693, 693, 49, 49, -49, -49, -3, -3, 3, 3, 21, 6, 0, -1, -1, 1, 1, 3, -3, -1, 1, -1, -3, 3, 1, -17, -2, -21, -21, 21, 6, -6, -6, -3, 3, 3, -3, 1, 1, -1, -1, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 0, -17, 17, 17, -1, 1, -1, 1, -2, 2, 2, 0, 0, -1, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626216
    {'cdim': 693, 'counter': 75, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.693c', 'multiplicity': 1, 'nt': [2772, 0], 'qdim': 693, 'qvalues': [693, -693, 693, -693, 49, -49, -49, 49, 3, -3, -3, 3, 21, 6, 0, 1, -1, -1, 1, 3, 3, -1, -1, 1, -3, -3, 1, -17, -2, -21, 21, -21, -6, -6, 6, 3, -3, 3, -3, 1, -1, 1, -1, 0, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 0, 17, 17, -17, -1, 1, 1, -1, 2, 2, -2, 0, 0, -1, 1, 1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626217
    {'cdim': 693, 'counter': 76, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.693d', 'multiplicity': 1, 'nt': [2772, 0], 'qdim': 693, 'qvalues': [693, 693, -693, -693, 49, -49, 49, -49, 3, -3, 3, -3, 21, 6, 0, 1, -1, 1, -1, 3, -3, 1, -1, -1, 3, -3, 1, -17, -2, 21, -21, -21, -6, 6, -6, 3, 3, -3, -3, 1, -1, -1, 1, 0, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 17, -17, 17, -1, -1, 1, 1, 2, -2, 2, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626218
    {'cdim': 825, 'counter': 77, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.825a', 'multiplicity': 1, 'nt': [2520, 0], 'qdim': 825, 'qvalues': [825, 825, 825, 825, -15, -15, -15, -15, 9, 9, 9, 9, -15, 0, 6, 5, 5, 5, 5, -3, -3, 1, 1, 1, -3, -3, 1, 0, 0, -15, -15, -15, 0, 0, 0, 9, 9, 9, 9, -3, -3, -3, -3, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626219
    {'cdim': 825, 'counter': 78, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.825b', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 825, 'qvalues': [825, -825, -825, 825, -15, -15, 15, 15, 9, 9, -9, -9, -15, 0, 6, 5, 5, -5, -5, -3, 3, -1, 1, -1, 3, -3, 1, 0, 0, 15, 15, -15, 0, 0, 0, 9, -9, -9, 9, -3, -3, 3, 3, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626220
    {'cdim': 825, 'counter': 79, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.825c', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 825, 'qvalues': [825, -825, 825, -825, -15, 15, 15, -15, -9, 9, 9, -9, -15, 0, 6, -5, 5, 5, -5, -3, -3, -1, -1, 1, 3, 3, 1, 0, 0, 15, -15, 15, 0, 0, 0, -9, 9, -9, 9, -3, 3, -3, 3, -6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626222
    {'cdim': 825, 'counter': 80, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.825d', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 825, 'qvalues': [825, 825, -825, -825, -15, 15, -15, 15, -9, 9, -9, 9, -15, 0, 6, -5, 5, -5, 5, -3, 3, 1, -1, -1, -3, 3, 1, 0, 0, -15, 15, 15, 0, 0, 0, -9, -9, 9, 9, -3, 3, 3, -3, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626223
    {'cdim': 924, 'counter': 81, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.924a', 'multiplicity': 1, 'nt': [4620, 0], 'qdim': 924, 'qvalues': [924, -924, -924, 924, -56, -56, 56, 56, 4, 4, -4, -4, 84, 9, -3, -6, -6, 6, 6, -2, 2, 0, 0, 0, 2, -2, 0, -1, -1, -84, -84, 84, 9, -9, -9, 4, -4, -4, 4, 4, 4, -4, -4, -3, 3, 3, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626224
    {'cdim': 924, 'counter': 82, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.924b', 'multiplicity': 1, 'nt': [4620, 0], 'qdim': 924, 'qvalues': [924, -924, 924, -924, -56, 56, 56, -56, -4, 4, 4, -4, 84, 9, -3, 6, -6, -6, 6, -2, -2, 0, 0, 0, 2, 2, 0, -1, -1, -84, 84, -84, -9, -9, 9, -4, 4, -4, 4, 4, -4, 4, -4, 3, -3, 3, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626225
    {'cdim': 924, 'counter': 83, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.924c', 'multiplicity': 1, 'nt': [4620, 0], 'qdim': 924, 'qvalues': [924, 924, -924, -924, -56, 56, -56, 56, -4, 4, -4, 4, 84, 9, -3, 6, -6, 6, -6, -2, 2, 0, 0, 0, -2, 2, 0, -1, -1, 84, -84, -84, -9, 9, -9, -4, -4, 4, 4, 4, -4, -4, 4, 3, 3, -3, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626226
    {'cdim': 924, 'counter': 84, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.924d', 'multiplicity': 1, 'nt': [4620, 0], 'qdim': 924, 'qvalues': [924, 924, 924, 924, -56, -56, -56, -56, 4, 4, 4, 4, 84, 9, -3, -6, -6, -6, -6, -2, -2, 0, 0, 0, -2, -2, 0, -1, -1, 84, 84, 84, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626227
    {'cdim': 990, 'counter': 85, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.990a', 'multiplicity': 1, 'nt': [4620, 0], 'qdim': 990, 'qvalues': [990, 990, 990, 990, 34, 34, 34, 34, 6, 6, 6, 6, -42, 6, 0, -4, -4, -4, -4, 0, 0, -2, -2, -2, 0, 0, -2, -5, 0, -42, -42, -42, 6, 6, 6, 6, 6, 6, 6, -2, -2, -2, -2, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -5, -5, -5, -1, -1, -1, -1, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 3, -1, -1, -1, -1, 1, -2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, -2, -2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626228
    {'cdim': 990, 'counter': 86, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.990b', 'multiplicity': 1, 'nt': [4620, 0], 'qdim': 990, 'qvalues': [990, 990, 990, 990, 34, 34, 34, 34, 6, 6, 6, 6, 21, -12, 0, -4, -4, -4, -4, 0, 0, -2, -2, -2, 0, 0, -2, -5, 0, 21, 21, 21, -12, -12, -12, -3, -3, -3, -3, 1, 1, 1, 1, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -5, -5, -5, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 3, 3, 3, -1, -1, -1, -1, -2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626229
    {'cdim': 990, 'counter': 87, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.990c', 'multiplicity': 1, 'nt': [5544, 0], 'qdim': 990, 'qvalues': [990, -990, -990, 990, 34, 34, -34, -34, 6, 6, -6, -6, 21, -12, 0, -4, -4, 4, 4, 0, 0, 2, -2, 2, 0, 0, -2, -5, 0, -21, -21, 21, -12, 12, 12, -3, 3, 3, -3, 1, 1, -1, -1, 0, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -5, 5, 5, -1, 1, -1, 1, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 3, -3, -3, -1, 1, 1, -1, -2, 1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -1, 1, -1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626230
    {'cdim': 990, 'counter': 88, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.990d', 'multiplicity': 1, 'nt': [5544, 0], 'qdim': 990, 'qvalues': [990, -990, 990, -990, 34, -34, -34, 34, -6, 6, 6, -6, 21, -12, 0, 4, -4, -4, 4, 0, 0, 2, 2, -2, 0, 0, -2, -5, 0, -21, 21, -21, 12, 12, -12, 3, -3, 3, -3, 1, -1, 1, -1, 0, 0, 0, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 5, 5, -5, -1, 1, 1, -1, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, -1, 0, 0, 0, 0, -3, -3, 3, -1, -1, 1, 1, -2, 1, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, -1, -1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626231
    {'cdim': 990, 'counter': 89, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.990e', 'multiplicity': 1, 'nt': [5544, 0], 'qdim': 990, 'qvalues': [990, 990, -990, -990, 34, -34, 34, -34, -6, 6, -6, 6, 21, -12, 0, 4, -4, 4, -4, 0, 0, -2, 2, 2, 0, 0, -2, -5, 0, 21, -21, -21, 12, -12, 12, 3, 3, -3, -3, 1, -1, -1, 1, 0, 0, 0, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 5, -5, 5, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, -3, 3, -3, -1, 1, -1, 1, -2, 1, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, -1, 1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626233
    {'cdim': 990, 'counter': 90, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.990f', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 990, 'qvalues': [990, -990, -990, 990, 34, 34, -34, -34, 6, 6, -6, -6, -42, 6, 0, -4, -4, 4, 4, 0, 0, 2, -2, 2, 0, 0, -2, -5, 0, 42, 42, -42, 6, -6, -6, 6, -6, -6, 6, -2, -2, 2, 2, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -5, 5, 5, -1, 1, -1, 1, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 3, -3, -3, -1, 1, 1, -1, 1, -2, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 2, -2, 2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626234
    {'cdim': 990, 'counter': 91, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.990g', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 990, 'qvalues': [990, -990, 990, -990, 34, -34, -34, 34, -6, 6, 6, -6, -42, 6, 0, 4, -4, -4, 4, 0, 0, 2, 2, -2, 0, 0, -2, -5, 0, 42, -42, 42, -6, -6, 6, -6, 6, -6, 6, -2, 2, -2, 2, 0, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 5, 5, -5, -1, 1, 1, -1, 0, 0, 0, 0, 0, 2, -2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, -3, -3, 3, -1, -1, 1, 1, 1, -2, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -2, 2, 2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626235
    {'cdim': 990, 'counter': 92, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.990h', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 990, 'qvalues': [990, 990, -990, -990, 34, -34, 34, -34, -6, 6, -6, 6, -42, 6, 0, 4, -4, 4, -4, 0, 0, -2, 2, 2, 0, 0, -2, -5, 0, -42, 42, 42, -6, 6, -6, -6, -6, 6, 6, -2, 2, 2, -2, 0, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 5, -5, 5, -1, -1, 1, 1, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, 2, -2, 2, 0, 0, 0, 0, -3, 3, -3, -1, 1, -1, 1, 1, -2, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 2, 2, -2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626236
    {'cdim': 1100, 'counter': 93, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1100a', 'multiplicity': 1, 'nt': [2520, 0], 'qdim': 1100, 'qvalues': [1100, 1100, 1100, 1100, -20, -20, -20, -20, 12, 12, 12, 12, 50, -10, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 50, 50, 50, -10, -10, -10, -6, -6, -6, -6, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626237
    {'cdim': 1100, 'counter': 94, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1100b', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 1100, 'qvalues': [1100, -1100, -1100, 1100, -20, -20, 20, 20, 12, 12, -12, -12, 50, -10, 2, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 4, 0, 0, -50, -50, 50, -10, 10, 10, -6, 6, 6, -6, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, -1, 1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626238
    {'cdim': 1100, 'counter': 95, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1100c', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 1100, 'qvalues': [1100, -1100, 1100, -1100, -20, 20, 20, -20, -12, 12, 12, -12, 50, -10, 2, 0, 0, 0, 0, 0, 0, -4, -4, 4, 0, 0, 4, 0, 0, -50, 50, -50, 10, 10, -10, 6, -6, 6, -6, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, -1, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626239
    {'cdim': 1100, 'counter': 96, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1100d', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 1100, 'qvalues': [1100, 1100, -1100, -1100, -20, 20, -20, 20, -12, 12, -12, 12, 50, -10, 2, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, 0, 4, 0, 0, 50, -50, -50, 10, -10, 10, 6, 6, -6, -6, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, 1, -1, 0, 0, -1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626240
    {'cdim': 1155, 'counter': 97, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1155a', 'multiplicity': 1, 'nt': [4950, 0], 'qdim': 1155, 'qvalues': [1155, 1155, 1155, 1155, 7, 7, 7, 7, -5, -5, -5, -5, -21, 9, 3, 5, 5, 5, 5, 1, 1, -1, -1, -1, 1, 1, -1, -10, 0, -21, -21, -21, 9, 9, 9, -5, -5, -5, -5, -5, -5, -5, -5, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, -1, -1, -1, -1, 0, -10, -10, -10, 2, 2, 2, 2, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626241
    {'cdim': 1155, 'counter': 98, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1155b', 'multiplicity': 1, 'nt': [9900, 0], 'qdim': 1155, 'qvalues': [1155, -1155, -1155, 1155, 7, 7, -7, -7, -5, -5, 5, 5, -21, 9, 3, 5, 5, -5, -5, 1, -1, 1, -1, 1, -1, 1, -1, -10, 0, 21, 21, -21, 9, -9, -9, -5, 5, 5, -5, -5, -5, 5, 5, 3, -3, -3, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 0, 1, -1, 1, -1, 0, -10, 10, 10, 2, -2, 2, -2, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626242
    {'cdim': 1155, 'counter': 99, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1155c', 'multiplicity': 1, 'nt': [9900, 0], 'qdim': 1155, 'qvalues': [1155, -1155, 1155, -1155, 7, -7, -7, 7, 5, -5, -5, 5, -21, 9, 3, -5, 5, 5, -5, 1, 1, 1, 1, -1, -1, -1, -1, -10, 0, 21, -21, 21, -9, -9, 9, 5, -5, 5, -5, -5, 5, -5, 5, -3, 3, -3, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 0, 1, 1, -1, -1, 0, 10, 10, -10, 2, -2, -2, 2, 0, 0, 0, 0, 0, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626129
    {'cdim': 1155, 'counter': 100, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1155d', 'multiplicity': 1, 'nt': [9900, 0], 'qdim': 1155, 'qvalues': [1155, 1155, -1155, -1155, 7, -7, 7, -7, 5, -5, 5, -5, -21, 9, 3, -5, 5, -5, 5, 1, -1, -1, 1, 1, 1, -1, -1, -10, 0, -21, 21, 21, -9, 9, -9, 5, 5, -5, -5, -5, 5, 5, -5, -3, -3, 3, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 0, -1, 1, 1, -1, 0, 10, -10, 10, 2, 2, -2, -2, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626205
    {'cdim': 594, 'counter': 65, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.594e', 'multiplicity': 2, 'nt': [16632, 0], 'qdim': 1188, 'qvalues': [1188, 1188, 1188, 1188, 12, 12, 12, 12, -12, -12, -12, -12, -90, 0, 0, -8, -8, -8, -8, 0, 0, 4, 4, 4, 0, 0, 4, 18, -2, -90, -90, -90, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 18, 18, 18, 2, 2, 2, 2, -2, -2, -2, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3626206
    {'cdim': 594, 'counter': 66, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.594f', 'multiplicity': 2, 'nt': [27720, 0], 'qdim': 1188, 'qvalues': [1188, -1188, -1188, 1188, 12, 12, -12, -12, -12, -12, 12, 12, -90, 0, 0, -8, -8, 8, 8, 0, 0, -4, 4, -4, 0, 0, 4, 18, -2, 90, 90, -90, 0, 0, 0, 6, -6, -6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 18, -18, -18, 2, -2, 2, -2, -2, 2, 2, 0, 0, 2, 2, -2, -2, -2, 2, 2, -2, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3626207
    {'cdim': 594, 'counter': 67, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.594g', 'multiplicity': 2, 'nt': [27720, 0], 'qdim': 1188, 'qvalues': [1188, -1188, 1188, -1188, 12, -12, -12, 12, 12, -12, -12, 12, -90, 0, 0, 8, -8, -8, 8, 0, 0, -4, -4, 4, 0, 0, 4, 18, -2, 90, -90, 90, 0, 0, 0, -6, 6, -6, 6, 6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -18, -18, 18, 2, -2, -2, 2, 2, 2, -2, 0, 0, 2, -2, -2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, -2, 2, 2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3626208
    {'cdim': 594, 'counter': 68, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.594h', 'multiplicity': 2, 'nt': [27720, 0], 'qdim': 1188, 'qvalues': [1188, 1188, -1188, -1188, 12, -12, 12, -12, 12, -12, 12, -12, -90, 0, 0, 8, -8, 8, -8, 0, 0, 4, -4, -4, 0, 0, 4, 18, -2, -90, 90, 90, 0, 0, 0, -6, -6, 6, 6, 6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -18, 18, -18, 2, 2, -2, -2, 2, -2, 2, 0, 0, -2, 2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 2, -2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, -2, 2, -2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3626130
    {'cdim': 1232, 'counter': 101, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1232a', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 1232, 'qvalues': [1232, -1232, -1232, 1232, 0, 0, 0, 0, -16, -16, 16, 16, 56, -4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 2, -56, -56, 56, -4, 4, 4, 8, -8, -8, 8, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, -2, 2, 2, -2, 1, -1, -1, 1, 0, 0, 0, 0, 0, -1, -8, 8, 8, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626131
    {'cdim': 1232, 'counter': 102, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1232b', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 1232, 'qvalues': [1232, -1232, 1232, -1232, 0, 0, 0, 0, 16, -16, -16, 16, 56, -4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 2, -56, 56, -56, 4, 4, -4, -8, 8, -8, 8, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 2, -2, 2, -2, -1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 8, 8, -8, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626132
    {'cdim': 1232, 'counter': 103, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1232c', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 1232, 'qvalues': [1232, 1232, -1232, -1232, 0, 0, 0, 0, 16, -16, 16, -16, 56, -4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 2, 56, -56, -56, 4, -4, 4, -8, -8, 8, 8, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, -2, -2, 2, 2, 1, -1, 1, -1, 0, 0, 0, 0, 0, -1, 8, -8, 8, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626133
    {'cdim': 1232, 'counter': 104, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1232d', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 1232, 'qvalues': [1232, 1232, 1232, 1232, 0, 0, 0, 0, -16, -16, -16, -16, 56, -4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 2, 56, 56, 56, -4, -4, -4, 8, 8, 8, 8, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, -1, -8, -8, -8, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626134
    {'cdim': 1320, 'counter': 105, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1320a', 'multiplicity': 1, 'nt': [10395, 0], 'qdim': 1320, 'qvalues': [1320, 1320, 1320, 1320, 8, 8, 8, 8, 8, 8, 8, 8, -84, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -84, -84, -84, 6, 6, 6, -4, -4, -4, -4, -4, -4, -4, -4, -3, -3, -3, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -3, 0, 0, 0, 0, 0, 10, 10, 10, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626135
    {'cdim': 1320, 'counter': 106, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1320b', 'multiplicity': 1, 'nt': [20790, 0], 'qdim': 1320, 'qvalues': [1320, -1320, -1320, 1320, 8, 8, -8, -8, 8, 8, -8, -8, -84, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 84, 84, -84, 6, -6, -6, -4, 4, 4, -4, -4, -4, 4, 4, -3, 3, 3, 2, 2, -2, -2, -2, 2, 2, -2, 1, -1, -1, 1, -3, 0, 0, 0, 0, 0, 10, -10, -10, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 3, 3, 1, -1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626136
    {'cdim': 1320, 'counter': 107, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1320c', 'multiplicity': 1, 'nt': [20790, 0], 'qdim': 1320, 'qvalues': [1320, -1320, 1320, -1320, 8, -8, -8, 8, -8, 8, 8, -8, -84, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 84, -84, 84, -6, -6, 6, 4, -4, 4, -4, -4, 4, -4, 4, 3, -3, 3, 2, -2, 2, -2, 2, -2, 2, -2, -1, -1, 1, 1, -3, 0, 0, 0, 0, 0, -10, -10, 10, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -3, 1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626137
    {'cdim': 1320, 'counter': 108, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1320d', 'multiplicity': 1, 'nt': [20790, 0], 'qdim': 1320, 'qvalues': [1320, 1320, -1320, -1320, 8, -8, 8, -8, -8, 8, -8, 8, -84, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -84, 84, 84, -6, 6, -6, 4, 4, -4, -4, -4, 4, 4, -4, 3, 3, -3, 2, -2, -2, 2, -2, -2, 2, 2, 1, -1, 1, -1, -3, 0, 0, 0, 0, 0, -10, 10, -10, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 3, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626138
    {'cdim': 1540, 'counter': 109, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1540a', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 1540, 'qvalues': [1540, -1540, -1540, 1540, -56, -56, 56, 56, -4, -4, 4, 4, 28, 1, 1, 6, 6, -6, -6, 2, -2, 0, 0, 0, -2, 2, 0, -5, 0, -28, -28, 28, 1, -1, -1, -4, 4, 4, -4, 4, 4, -4, -4, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 1, -5, 5, 5, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -2, -1, 1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 2, -2, 2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626140
    {'cdim': 1540, 'counter': 110, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1540b', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 1540, 'qvalues': [1540, -1540, 1540, -1540, -56, 56, 56, -56, 4, -4, -4, 4, 28, 1, 1, -6, 6, 6, -6, 2, 2, 0, 0, 0, -2, -2, 0, -5, 0, -28, 28, -28, -1, -1, 1, 4, -4, 4, -4, 4, -4, 4, -4, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 5, 5, -5, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, -2, -1, -1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -2, 2, 2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626141
    {'cdim': 1540, 'counter': 111, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1540c', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 1540, 'qvalues': [1540, 1540, -1540, -1540, -56, 56, -56, 56, 4, -4, 4, -4, 28, 1, 1, -6, 6, -6, 6, 2, -2, 0, 0, 0, 2, -2, 0, -5, 0, 28, -28, -28, -1, 1, -1, 4, 4, -4, -4, 4, -4, -4, 4, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 1, 5, -5, 5, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 2, 2, -2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626142
    {'cdim': 1540, 'counter': 112, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.1540d', 'multiplicity': 1, 'nt': [9240, 0], 'qdim': 1540, 'qvalues': [1540, 1540, 1540, 1540, -56, -56, -56, -56, -4, -4, -4, -4, 28, 1, 1, 6, 6, 6, 6, 2, 2, 0, 0, 0, 2, 2, 0, -5, 0, 28, 28, 28, 1, 1, 1, -4, -4, -4, -4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, -5, -5, -5, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, -2, -2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626143
    {'cdim': 2310, 'counter': 113, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.2310a', 'multiplicity': 1, 'nt': [13860, 0], 'qdim': 2310, 'qvalues': [2310, 2310, 2310, 2310, -14, -14, -14, -14, -2, -2, -2, -2, -63, -6, -3, 4, 4, 4, 4, 0, 0, -2, -2, -2, 0, 0, -2, 5, 0, -63, -63, -63, -6, -6, -6, 1, 1, 1, 1, 1, 1, 1, 1, -3, -3, -3, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 5, 5, 5, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 2, 2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626144
    {'cdim': 2310, 'counter': 114, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.2310b', 'multiplicity': 1, 'nt': [20790, 0], 'qdim': 2310, 'qvalues': [2310, -2310, -2310, 2310, -14, -14, 14, 14, -2, -2, 2, 2, -63, -6, -3, 4, 4, -4, -4, 0, 0, 2, -2, 2, 0, 0, -2, 5, 0, 63, 63, -63, -6, 6, 6, 1, -1, -1, 1, 1, 1, -1, -1, -3, 3, 3, -2, -2, 2, 2, 2, -2, -2, 2, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 5, -5, -5, 1, -1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -2, 2, -2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626145
    {'cdim': 2310, 'counter': 115, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.2310c', 'multiplicity': 1, 'nt': [20790, 0], 'qdim': 2310, 'qvalues': [2310, -2310, 2310, -2310, -14, 14, 14, -14, 2, -2, -2, 2, -63, -6, -3, -4, 4, 4, -4, 0, 0, 2, 2, -2, 0, 0, -2, 5, 0, 63, -63, 63, 6, 6, -6, -1, 1, -1, 1, 1, -1, 1, -1, 3, -3, 3, -2, 2, -2, 2, -2, 2, -2, 2, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, -5, -5, 5, 1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 1, 1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, -2, -2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3626146
    {'cdim': 2310, 'counter': 116, 'faithful': False, 'group': '79833600.d', 'group_order': 79833600, 'image': None, 'label': '79833600.d.2310d', 'multiplicity': 1, 'nt': [20790, 0], 'qdim': 2310, 'qvalues': [2310, 2310, -2310, -2310, -14, 14, -14, 14, 2, -2, 2, -2, -63, -6, -3, -4, 4, -4, 4, 0, 0, -2, 2, 2, 0, 0, -2, 5, 0, -63, 63, 63, 6, -6, 6, -1, -1, 1, 1, 1, -1, -1, 1, 3, 3, -3, -2, 2, 2, -2, 2, 2, -2, -2, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, -5, 5, -5, 1, 1, -1, -1, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, -2, 2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 5223024
    {'center': None, 'center_index': 1, 'center_order': 79833600, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': None, 'kernel_order': 79833600, 'label': '79833600.d.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223060
    {'center': None, 'center_index': 1, 'center_order': 79833600, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 39916800, 'label': '79833600.d.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223071
    {'center': None, 'center_index': 1, 'center_order': 79833600, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 39916800, 'label': '79833600.d.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223082
    {'center': None, 'center_index': 1, 'center_order': 79833600, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 39916800, 'label': '79833600.d.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223093
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 5, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.10a', 'nt': [11, 7], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[7, 0]], [[4, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[5, 0]], [[0, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223104
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 6, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.10b', 'nt': [22, 46], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[7, 0]], [[4, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[5, 0]], [[0, 0]], [[-7, 0]], [[-7, 0]], [[7, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223115
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 7, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.10c', 'nt': [22, 46], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[10, 0]], [[-10, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[7, 0]], [[4, 0]], [[1, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[5, 0]], [[0, 0]], [[-7, 0]], [[7, 0]], [[-7, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223126
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  • id: 5223137
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  • id: 5223025
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  • id: 5223036
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 11, 'cyclotomic_n': 1, 'dim': 44, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.44c', 'nt': [110, 0], 'q_character': None, 'values': [[[44, 0]], [[-44, 0]], [[44, 0]], [[-44, 0]], [[16, 0]], [[-16, 0]], [[-16, 0]], [[16, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[20, 0]], [[5, 0]], [[-1, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[9, 0]], [[-1, 0]], [[-20, 0]], [[20, 0]], [[-20, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-9, 0]], [[-9, 0]], [[9, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223047
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 12, 'cyclotomic_n': 1, 'dim': 44, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.44d', 'nt': [110, 0], 'q_character': None, 'values': [[[44, 0]], [[44, 0]], [[-44, 0]], [[-44, 0]], [[16, 0]], [[-16, 0]], [[16, 0]], [[-16, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[20, 0]], [[5, 0]], [[-1, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[9, 0]], [[-1, 0]], [[20, 0]], [[-20, 0]], [[-20, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-9, 0]], [[9, 0]], [[-9, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223053
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 13, 'cyclotomic_n': 1, 'dim': 45, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.45a', 'nt': [110, 0], 'q_character': None, 'values': [[[45, 0]], [[-45, 0]], [[-45, 0]], [[45, 0]], [[13, 0]], [[13, 0]], [[-13, 0]], [[-13, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[10, 0]], [[0, 0]], [[-21, 0]], [[-21, 0]], [[21, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[10, 0]], [[-10, 0]], [[-10, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223054
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  • id: 5223055
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  • id: 5223056
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 16, 'cyclotomic_n': 1, 'dim': 45, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.45d', 'nt': [110, 0], 'q_character': None, 'values': [[[45, 0]], [[45, 0]], [[45, 0]], [[45, 0]], [[13, 0]], [[13, 0]], [[13, 0]], [[13, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[10, 0]], [[0, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223057
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 17, 'cyclotomic_n': 1, 'dim': 110, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.110a', 'nt': [165, 0], 'q_character': None, 'values': [[[110, 0]], [[110, 0]], [[110, 0]], [[110, 0]], [[26, 0]], [[26, 0]], [[26, 0]], [[26, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[29, 0]], [[2, 0]], [[2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[29, 0]], [[29, 0]], [[29, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223058
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 18, 'cyclotomic_n': 1, 'dim': 110, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.110b', 'nt': [330, 0], 'q_character': None, 'values': [[[110, 0]], [[-110, 0]], [[-110, 0]], [[110, 0]], [[26, 0]], [[26, 0]], [[-26, 0]], [[-26, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[29, 0]], [[2, 0]], [[2, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[-29, 0]], [[-29, 0]], [[29, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223059
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 19, 'cyclotomic_n': 1, 'dim': 110, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.110c', 'nt': [330, 0], 'q_character': None, 'values': [[[110, 0]], [[-110, 0]], [[110, 0]], [[-110, 0]], [[26, 0]], [[-26, 0]], [[-26, 0]], [[26, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[29, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[-29, 0]], [[29, 0]], [[-29, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223061
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 20, 'cyclotomic_n': 1, 'dim': 110, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.110d', 'nt': [330, 0], 'q_character': None, 'values': [[[110, 0]], [[110, 0]], [[-110, 0]], [[-110, 0]], [[26, 0]], [[-26, 0]], [[26, 0]], [[-26, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[29, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[29, 0]], [[-29, 0]], [[-29, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223062
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 21, 'cyclotomic_n': 1, 'dim': 120, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.120a', 'nt': [330, 0], 'q_character': None, 'values': [[[120, 0]], [[-120, 0]], [[-120, 0]], [[120, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[8, 0]], [[36, 0]], [[6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[-36, 0]], [[-36, 0]], [[36, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-10, 0]], [[-10, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223063
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 22, 'cyclotomic_n': 1, 'dim': 120, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.120b', 'nt': [330, 0], 'q_character': None, 'values': [[[120, 0]], [[-120, 0]], [[120, 0]], [[-120, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[36, 0]], [[6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[-36, 0]], [[36, 0]], [[-36, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223064
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 23, 'cyclotomic_n': 1, 'dim': 120, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.120c', 'nt': [330, 0], 'q_character': None, 'values': [[[120, 0]], [[120, 0]], [[-120, 0]], [[-120, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[36, 0]], [[6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[36, 0]], [[-36, 0]], [[-36, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[10, 0]], [[-10, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223065
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 24, 'cyclotomic_n': 1, 'dim': 120, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.120d', 'nt': [330, 0], 'q_character': None, 'values': [[[120, 0]], [[120, 0]], [[120, 0]], [[120, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[36, 0]], [[6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[36, 0]], [[36, 0]], [[36, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223066
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 25, 'cyclotomic_n': 11, 'dim': 126, 'faithful': False, 'field': [3, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.126a1', 'nt': [924, 0], 'q_character': None, 'values': [[[126, 0]], [[-126, 0]], [[-126, 0]], [[126, 0]], [[-14, 0]], [[-14, 0]], [[14, 0]], [[14, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-21, 0]], [[-21, 0]], [[21, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223067
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 26, 'cyclotomic_n': 11, 'dim': 126, 'faithful': False, 'field': [3, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.126a2', 'nt': [924, 2], 'q_character': None, 'values': [[[126, 0]], [[-126, 0]], [[-126, 0]], [[126, 0]], [[-14, 0]], [[-14, 0]], [[14, 0]], [[14, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-21, 0]], [[-21, 0]], [[21, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223068
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 27, 'cyclotomic_n': 11, 'dim': 126, 'faithful': False, 'field': [3, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.126b1', 'nt': [924, 0], 'q_character': None, 'values': [[[126, 0]], [[-126, 0]], [[126, 0]], [[-126, 0]], [[-14, 0]], [[14, 0]], [[14, 0]], [[-14, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-21, 0]], [[21, 0]], [[-21, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223069
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 28, 'cyclotomic_n': 11, 'dim': 126, 'faithful': False, 'field': [3, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.126b2', 'nt': [924, 2], 'q_character': None, 'values': [[[126, 0]], [[-126, 0]], [[126, 0]], [[-126, 0]], [[-14, 0]], [[14, 0]], [[14, 0]], [[-14, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-21, 0]], [[21, 0]], [[-21, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223070
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 29, 'cyclotomic_n': 11, 'dim': 126, 'faithful': False, 'field': [3, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.126c1', 'nt': [924, 0], 'q_character': None, 'values': [[[126, 0]], [[126, 0]], [[-126, 0]], [[-126, 0]], [[-14, 0]], [[14, 0]], [[-14, 0]], [[14, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[21, 0]], [[-21, 0]], [[-21, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223072
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 30, 'cyclotomic_n': 11, 'dim': 126, 'faithful': False, 'field': [3, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.126c2', 'nt': [924, 2], 'q_character': None, 'values': [[[126, 0]], [[126, 0]], [[-126, 0]], [[-126, 0]], [[-14, 0]], [[14, 0]], [[-14, 0]], [[14, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[21, 0]], [[-21, 0]], [[-21, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223073
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 31, 'cyclotomic_n': 11, 'dim': 126, 'faithful': False, 'field': [3, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 0, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.126d1', 'nt': [924, 0], 'q_character': None, 'values': [[[126, 0]], [[126, 0]], [[126, 0]], [[126, 0]], [[-14, 0]], [[-14, 0]], [[-14, 0]], [[-14, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223074
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 32, 'cyclotomic_n': 11, 'dim': 126, 'faithful': False, 'field': [3, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 0, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.126d2', 'nt': [924, 2], 'q_character': None, 'values': [[[126, 0]], [[126, 0]], [[126, 0]], [[126, 0]], [[-14, 0]], [[-14, 0]], [[-14, 0]], [[-14, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223075
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 33, 'cyclotomic_n': 1, 'dim': 132, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.132a', 'nt': [462, 0], 'q_character': None, 'values': [[[132, 0]], [[132, 0]], [[132, 0]], [[132, 0]], [[20, 0]], [[20, 0]], [[20, 0]], [[20, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-8, 0]], [[2, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223076
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 34, 'cyclotomic_n': 1, 'dim': 132, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.132b', 'nt': [924, 0], 'q_character': None, 'values': [[[132, 0]], [[-132, 0]], [[-132, 0]], [[132, 0]], [[20, 0]], [[20, 0]], [[-20, 0]], [[-20, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-8, 0]], [[2, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223077
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 35, 'cyclotomic_n': 1, 'dim': 132, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.132c', 'nt': [924, 0], 'q_character': None, 'values': [[[132, 0]], [[-132, 0]], [[132, 0]], [[-132, 0]], [[20, 0]], [[-20, 0]], [[-20, 0]], [[20, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-8, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223078
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 36, 'cyclotomic_n': 1, 'dim': 132, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.132d', 'nt': [924, 0], 'q_character': None, 'values': [[[132, 0]], [[132, 0]], [[-132, 0]], [[-132, 0]], [[20, 0]], [[-20, 0]], [[20, 0]], [[-20, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-8, 0]], [[2, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223079
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 37, 'cyclotomic_n': 1, 'dim': 165, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.165a', 'nt': [330, 0], 'q_character': None, 'values': [[[165, 0]], [[165, 0]], [[165, 0]], [[165, 0]], [[29, 0]], [[29, 0]], [[29, 0]], [[29, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[21, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-5, 0]], [[0, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223080
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  • id: 5223081
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 39, 'cyclotomic_n': 1, 'dim': 165, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.165c', 'nt': [660, 0], 'q_character': None, 'values': [[[165, 0]], [[-165, 0]], [[165, 0]], [[-165, 0]], [[29, 0]], [[-29, 0]], [[-29, 0]], [[29, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[21, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-5, 0]], [[0, 0]], [[-21, 0]], [[21, 0]], [[-21, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223083
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 40, 'cyclotomic_n': 1, 'dim': 165, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.165d', 'nt': [660, 0], 'q_character': None, 'values': [[[165, 0]], [[165, 0]], [[-165, 0]], [[-165, 0]], [[29, 0]], [[-29, 0]], [[29, 0]], [[-29, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[21, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-5, 0]], [[0, 0]], [[21, 0]], [[-21, 0]], [[-21, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223084
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 41, 'cyclotomic_n': 1, 'dim': 210, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.210a', 'nt': [660, 0], 'q_character': None, 'values': [[[210, 0]], [[-210, 0]], [[-210, 0]], [[210, 0]], [[-14, 0]], [[-14, 0]], [[14, 0]], [[14, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[42, 0]], [[9, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[-42, 0]], [[-42, 0]], [[42, 0]], [[9, 0]], [[-9, 0]], [[-9, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223085
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 42, 'cyclotomic_n': 1, 'dim': 210, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.210b', 'nt': [660, 0], 'q_character': None, 'values': [[[210, 0]], [[-210, 0]], [[210, 0]], [[-210, 0]], [[-14, 0]], [[14, 0]], [[14, 0]], [[-14, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[42, 0]], [[9, 0]], [[3, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[-42, 0]], [[42, 0]], [[-42, 0]], [[-9, 0]], [[-9, 0]], [[9, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223086
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 43, 'cyclotomic_n': 1, 'dim': 210, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.210c', 'nt': [660, 0], 'q_character': None, 'values': [[[210, 0]], [[210, 0]], [[-210, 0]], [[-210, 0]], [[-14, 0]], [[14, 0]], [[-14, 0]], [[14, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[42, 0]], [[9, 0]], [[3, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[42, 0]], [[-42, 0]], [[-42, 0]], [[-9, 0]], [[9, 0]], [[-9, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223087
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 44, 'cyclotomic_n': 1, 'dim': 210, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.210d', 'nt': [660, 0], 'q_character': None, 'values': [[[210, 0]], [[210, 0]], [[210, 0]], [[210, 0]], [[-14, 0]], [[-14, 0]], [[-14, 0]], [[-14, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[42, 0]], [[9, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[42, 0]], [[42, 0]], [[42, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223088
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 45, 'cyclotomic_n': 1, 'dim': 231, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.231a', 'nt': [495, 0], 'q_character': None, 'values': [[[231, 0]], [[231, 0]], [[231, 0]], [[231, 0]], [[35, 0]], [[35, 0]], [[35, 0]], [[35, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[63, 0]], [[3, 0]], [[-3, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[16, 0]], [[1, 0]], [[63, 0]], [[63, 0]], [[63, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[16, 0]], [[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223089
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  • id: 5223090
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 47, 'cyclotomic_n': 1, 'dim': 231, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.231c', 'nt': [990, 0], 'q_character': None, 'values': [[[231, 0]], [[-231, 0]], [[231, 0]], [[-231, 0]], [[35, 0]], [[-35, 0]], [[-35, 0]], [[35, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[63, 0]], [[3, 0]], [[-3, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[16, 0]], [[1, 0]], [[-63, 0]], [[63, 0]], [[-63, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-16, 0]], [[-16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223091
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 48, 'cyclotomic_n': 1, 'dim': 231, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.231d', 'nt': [990, 0], 'q_character': None, 'values': [[[231, 0]], [[231, 0]], [[-231, 0]], [[-231, 0]], [[35, 0]], [[-35, 0]], [[35, 0]], [[-35, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[63, 0]], [[3, 0]], [[-3, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[16, 0]], [[1, 0]], [[63, 0]], [[-63, 0]], [[-63, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-16, 0]], [[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223092
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 49, 'cyclotomic_n': 1, 'dim': 330, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.330a', 'nt': [2772, 0], 'q_character': None, 'values': [[[330, 0]], [[-330, 0]], [[-330, 0]], [[330, 0]], [[22, 0]], [[22, 0]], [[-22, 0]], [[-22, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-6, 0]], [[9, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[2, 0]], [[-10, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[9, 0]], [[-9, 0]], [[-9, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[10, 0]], [[10, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223094
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 50, 'cyclotomic_n': 1, 'dim': 330, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.330b', 'nt': [2772, 0], 'q_character': None, 'values': [[[330, 0]], [[-330, 0]], [[330, 0]], [[-330, 0]], [[22, 0]], [[-22, 0]], [[-22, 0]], [[22, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[9, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[4, 0]], [[4, 0]], [[2, 0]], [[-10, 0]], [[0, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-9, 0]], [[-9, 0]], [[9, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[-10, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223095
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 51, 'cyclotomic_n': 1, 'dim': 330, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.330c', 'nt': [2772, 0], 'q_character': None, 'values': [[[330, 0]], [[330, 0]], [[-330, 0]], [[-330, 0]], [[22, 0]], [[-22, 0]], [[22, 0]], [[-22, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-6, 0]], [[9, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[2, 0]], [[-10, 0]], [[0, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-9, 0]], [[9, 0]], [[-9, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[-10, 0]], [[10, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223096
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 52, 'cyclotomic_n': 1, 'dim': 330, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.330d', 'nt': [2772, 0], 'q_character': None, 'values': [[[330, 0]], [[330, 0]], [[330, 0]], [[330, 0]], [[22, 0]], [[22, 0]], [[22, 0]], [[22, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[9, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[-10, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[-10, 0]], [[-10, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223097
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 53, 'cyclotomic_n': 1, 'dim': 385, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.385a', 'nt': [990, 0], 'q_character': None, 'values': [[[385, 0]], [[385, 0]], [[385, 0]], [[385, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[49, 0]], [[-8, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[5, 0]], [[0, 0]], [[49, 0]], [[49, 0]], [[49, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223098
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  • id: 5223099
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  • id: 5223100
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  • id: 5223101
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  • id: 5223102
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 58, 'cyclotomic_n': 1, 'dim': 462, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.462b', 'nt': [5040, 0], 'q_character': None, 'values': [[[462, 0]], [[-462, 0]], [[-462, 0]], [[462, 0]], [[14, 0]], [[14, 0]], [[-14, 0]], [[-14, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-42, 0]], [[3, 0]], [[3, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[7, 0]], [[2, 0]], [[42, 0]], [[42, 0]], [[-42, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[7, 0]], [[-7, 0]], [[-7, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223103
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  • id: 5223105
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 60, 'cyclotomic_n': 1, 'dim': 462, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.462d', 'nt': [5040, 0], 'q_character': None, 'values': [[[462, 0]], [[462, 0]], [[-462, 0]], [[-462, 0]], [[14, 0]], [[-14, 0]], [[14, 0]], [[-14, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-42, 0]], [[3, 0]], [[3, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[7, 0]], [[2, 0]], [[-42, 0]], [[42, 0]], [[42, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-7, 0]], [[7, 0]], [[-7, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223106
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  • id: 5223107
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  • id: 5223108
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  • id: 5223109
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 64, 'cyclotomic_n': 1, 'dim': 550, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.550d', 'nt': [1980, 0], 'q_character': None, 'values': [[[550, 0]], [[550, 0]], [[-550, 0]], [[-550, 0]], [[50, 0]], [[-50, 0]], [[50, 0]], [[-50, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[70, 0]], [[-5, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[70, 0]], [[-70, 0]], [[-70, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-3, 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]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 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]]]}
  • id: 5223110
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  • id: 5223111
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 66, 'cyclotomic_n': 1, 'dim': 594, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.594b', 'nt': [1980, 0], 'q_character': None, 'values': [[[594, 0]], [[-594, 0]], [[594, 0]], [[-594, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[90, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[9, 0]], [[-1, 0]], [[-90, 0]], [[90, 0]], [[-90, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-9, 0]], [[-9, 0]], [[9, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223112
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 67, 'cyclotomic_n': 1, 'dim': 594, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.594c', 'nt': [1980, 0], 'q_character': None, 'values': [[[594, 0]], [[594, 0]], [[-594, 0]], [[-594, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[90, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[9, 0]], [[-1, 0]], [[90, 0]], [[-90, 0]], [[-90, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-9, 0]], [[9, 0]], [[-9, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223113
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 68, 'cyclotomic_n': 1, 'dim': 594, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.594d', 'nt': [1980, 0], 'q_character': None, 'values': [[[594, 0]], [[594, 0]], [[594, 0]], [[594, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[90, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[9, 0]], [[-1, 0]], [[90, 0]], [[90, 0]], [[90, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[9, 0]], [[9, 0]], [[9, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223114
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 69, 'cyclotomic_n': 21, 'dim': 594, 'faithful': False, 'field': [-5, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.594e1', 'nt': [16632, 0], 'q_character': None, 'values': [[[594, 0]], [[594, 0]], [[594, 0]], [[594, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[9, 0]], [[-1, 0]], [[-45, 0]], [[-45, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[9, 0]], [[9, 0]], [[9, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[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], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]]]}
  • id: 5223116
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  • id: 5223117
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 71, 'cyclotomic_n': 21, 'dim': 594, 'faithful': False, 'field': [-5, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.594f1', 'nt': [27720, 0], 'q_character': None, 'values': [[[594, 0]], [[-594, 0]], [[-594, 0]], [[594, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[9, 0]], [[-1, 0]], [[45, 0]], [[45, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[9, 0]], [[-9, 0]], [[-9, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[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], [-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 0], [-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]]]}
  • id: 5223118
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 72, 'cyclotomic_n': 21, 'dim': 594, 'faithful': False, 'field': [-5, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.594f2', 'nt': [27720, 0], 'q_character': None, 'values': [[[594, 0]], [[-594, 0]], [[-594, 0]], [[594, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[9, 0]], [[-1, 0]], [[45, 0]], [[45, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[9, 0]], [[-9, 0]], [[-9, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[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, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 0], [-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 0], [-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]]]}
  • id: 5223119
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 73, 'cyclotomic_n': 21, 'dim': 594, 'faithful': False, 'field': [-5, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.594g1', 'nt': [27720, 0], 'q_character': None, 'values': [[[594, 0]], [[-594, 0]], [[594, 0]], [[-594, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[9, 0]], [[-1, 0]], [[45, 0]], [[-45, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-9, 0]], [[-9, 0]], [[9, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[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], [-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 0], [-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]]]}
  • id: 5223120
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 74, 'cyclotomic_n': 21, 'dim': 594, 'faithful': False, 'field': [-5, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.594g2', 'nt': [27720, 0], 'q_character': None, 'values': [[[594, 0]], [[-594, 0]], [[594, 0]], [[-594, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[9, 0]], [[-1, 0]], [[45, 0]], [[-45, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-9, 0]], [[-9, 0]], [[9, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[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, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 0], [-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 0], [-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]]]}
  • id: 5223121
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 75, 'cyclotomic_n': 21, 'dim': 594, 'faithful': False, 'field': [-5, -1, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.594h1', 'nt': [27720, 0], 'q_character': None, 'values': [[[594, 0]], [[594, 0]], [[-594, 0]], [[-594, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[9, 0]], [[-1, 0]], [[-45, 0]], [[45, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-9, 0]], [[9, 0]], [[-9, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 0], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[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], [1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]], [[-1, 0], [-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[-1, 0], [-1, 1], [2, 2], [-1, 4], [-1, 7], [1, 8], [1, 9], [1, -10]], [[1, 1], [-2, 2], [1, 4], [1, 7], [-1, 8], [-1, 9], [-1, -10]]]}
  • id: 5223122
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  • id: 5223123
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  • id: 5223124
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  • id: 5223125
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  • id: 5223127
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  • id: 5223128
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  • id: 5223129
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  • id: 5223130
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  • id: 5223131
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  • id: 5223132
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  • id: 5223133
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  • id: 5223134
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  • id: 5223135
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  • id: 5223136
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  • id: 5223138
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  • id: 5223139
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  • id: 5223140
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  • id: 5223141
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 93, 'cyclotomic_n': 1, 'dim': 990, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.990a', 'nt': [4620, 0], 'q_character': None, 'values': [[[990, 0]], [[990, 0]], [[990, 0]], [[990, 0]], [[34, 0]], [[34, 0]], [[34, 0]], [[34, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-42, 0]], [[6, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-5, 0]], [[0, 0]], [[-42, 0]], [[-42, 0]], [[-42, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223142
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 94, 'cyclotomic_n': 1, 'dim': 990, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.990b', 'nt': [4620, 0], 'q_character': None, 'values': [[[990, 0]], [[990, 0]], [[990, 0]], [[990, 0]], [[34, 0]], [[34, 0]], [[34, 0]], [[34, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[21, 0]], [[-12, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-5, 0]], [[0, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[-12, 0]], [[-12, 0]], [[-12, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223143
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 95, 'cyclotomic_n': 1, 'dim': 990, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.990c', 'nt': [5544, 0], 'q_character': None, 'values': [[[990, 0]], [[-990, 0]], [[-990, 0]], [[990, 0]], [[34, 0]], [[34, 0]], [[-34, 0]], [[-34, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[21, 0]], [[-12, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-5, 0]], [[0, 0]], [[-21, 0]], [[-21, 0]], [[21, 0]], [[-12, 0]], [[12, 0]], [[12, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223144
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 96, 'cyclotomic_n': 1, 'dim': 990, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.990d', 'nt': [5544, 0], 'q_character': None, 'values': [[[990, 0]], [[-990, 0]], [[990, 0]], [[-990, 0]], [[34, 0]], [[-34, 0]], [[-34, 0]], [[34, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[21, 0]], [[-12, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-5, 0]], [[0, 0]], [[-21, 0]], [[21, 0]], [[-21, 0]], [[12, 0]], [[12, 0]], [[-12, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223145
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 97, 'cyclotomic_n': 1, 'dim': 990, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.990e', 'nt': [5544, 0], 'q_character': None, 'values': [[[990, 0]], [[990, 0]], [[-990, 0]], [[-990, 0]], [[34, 0]], [[-34, 0]], [[34, 0]], [[-34, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[21, 0]], [[-12, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-5, 0]], [[0, 0]], [[21, 0]], [[-21, 0]], [[-21, 0]], [[12, 0]], [[-12, 0]], [[12, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223146
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 98, 'cyclotomic_n': 1, 'dim': 990, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.990f', 'nt': [9240, 0], 'q_character': None, 'values': [[[990, 0]], [[-990, 0]], [[-990, 0]], [[990, 0]], [[34, 0]], [[34, 0]], [[-34, 0]], [[-34, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-42, 0]], [[6, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-5, 0]], [[0, 0]], [[42, 0]], [[42, 0]], [[-42, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223147
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 99, 'cyclotomic_n': 1, 'dim': 990, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.990g', 'nt': [9240, 0], 'q_character': None, 'values': [[[990, 0]], [[-990, 0]], [[990, 0]], [[-990, 0]], [[34, 0]], [[-34, 0]], [[-34, 0]], [[34, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-42, 0]], [[6, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-5, 0]], [[0, 0]], [[42, 0]], [[-42, 0]], [[42, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223026
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  • id: 5223027
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  • id: 5223028
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 102, 'cyclotomic_n': 1, 'dim': 1100, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.1100b', 'nt': [5040, 0], 'q_character': None, 'values': [[[1100, 0]], [[-1100, 0]], [[-1100, 0]], [[1100, 0]], [[-20, 0]], [[-20, 0]], [[20, 0]], [[20, 0]], [[12, 0]], [[12, 0]], [[-12, 0]], [[-12, 0]], [[50, 0]], [[-10, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-50, 0]], [[-50, 0]], [[50, 0]], [[-10, 0]], [[10, 0]], [[10, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5223029
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  • id: 5223030
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 104, 'cyclotomic_n': 1, 'dim': 1100, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.1100d', 'nt': [5040, 0], 'q_character': None, 'values': [[[1100, 0]], [[1100, 0]], [[-1100, 0]], [[-1100, 0]], [[-20, 0]], [[20, 0]], [[-20, 0]], [[20, 0]], [[-12, 0]], [[12, 0]], [[-12, 0]], [[12, 0]], [[50, 0]], [[-10, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[50, 0]], [[-50, 0]], [[-50, 0]], [[10, 0]], [[-10, 0]], [[10, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5223031
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 105, 'cyclotomic_n': 1, 'dim': 1155, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.1155a', 'nt': [4950, 0], 'q_character': None, 'values': [[[1155, 0]], [[1155, 0]], [[1155, 0]], [[1155, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-21, 0]], [[9, 0]], [[3, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-10, 0]], [[0, 0]], [[-21, 0]], [[-21, 0]], [[-21, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-10, 0]], [[-10, 0]], [[-10, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223032
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 106, 'cyclotomic_n': 1, 'dim': 1155, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.1155b', 'nt': [9900, 0], 'q_character': None, 'values': [[[1155, 0]], [[-1155, 0]], [[-1155, 0]], [[1155, 0]], [[7, 0]], [[7, 0]], [[-7, 0]], [[-7, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[-21, 0]], [[9, 0]], [[3, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-10, 0]], [[0, 0]], [[21, 0]], [[21, 0]], [[-21, 0]], [[9, 0]], [[-9, 0]], [[-9, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-10, 0]], [[10, 0]], [[10, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223033
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 107, 'cyclotomic_n': 1, 'dim': 1155, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.1155c', 'nt': [9900, 0], 'q_character': None, 'values': [[[1155, 0]], [[-1155, 0]], [[1155, 0]], [[-1155, 0]], [[7, 0]], [[-7, 0]], [[-7, 0]], [[7, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[-21, 0]], [[9, 0]], [[3, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-10, 0]], [[0, 0]], [[21, 0]], [[-21, 0]], [[21, 0]], [[-9, 0]], [[-9, 0]], [[9, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[-10, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223034
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  • id: 5223035
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  • id: 5223037
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  • id: 5223038
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  • id: 5223039
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  • id: 5223040
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  • id: 5223041
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  • id: 5223042
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  • id: 5223043
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 116, 'cyclotomic_n': 1, 'dim': 1320, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.1320d', 'nt': [20790, 0], 'q_character': None, 'values': [[[1320, 0]], [[1320, 0]], [[-1320, 0]], [[-1320, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[-84, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[-84, 0]], [[84, 0]], [[84, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[10, 0]], [[-10, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223044
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 117, 'cyclotomic_n': 1, 'dim': 1540, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.1540a', 'nt': [9240, 0], 'q_character': None, 'values': [[[1540, 0]], [[-1540, 0]], [[-1540, 0]], [[1540, 0]], [[-56, 0]], [[-56, 0]], [[56, 0]], [[56, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[28, 0]], [[1, 0]], [[1, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-5, 0]], [[0, 0]], [[-28, 0]], [[-28, 0]], [[28, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-5, 0]], [[5, 0]], [[5, 0]], [[-1, 0]], [[1, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223045
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 118, 'cyclotomic_n': 1, 'dim': 1540, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.1540b', 'nt': [9240, 0], 'q_character': None, 'values': [[[1540, 0]], [[-1540, 0]], [[1540, 0]], [[-1540, 0]], [[-56, 0]], [[56, 0]], [[56, 0]], [[-56, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[28, 0]], [[1, 0]], [[1, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-5, 0]], [[0, 0]], [[-28, 0]], [[28, 0]], [[-28, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[5, 0]], [[5, 0]], [[-5, 0]], [[-1, 0]], [[1, 0]], [[1, 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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223046
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 119, 'cyclotomic_n': 1, 'dim': 1540, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.1540c', 'nt': [9240, 0], 'q_character': None, 'values': [[[1540, 0]], [[1540, 0]], [[-1540, 0]], [[-1540, 0]], [[-56, 0]], [[56, 0]], [[-56, 0]], [[56, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[28, 0]], [[1, 0]], [[1, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-5, 0]], [[0, 0]], [[28, 0]], [[-28, 0]], [[-28, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[5, 0]], [[-5, 0]], [[5, 0]], [[-1, 0]], [[-1, 0]], [[1, 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]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223048
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 120, 'cyclotomic_n': 1, 'dim': 1540, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.1540d', 'nt': [9240, 0], 'q_character': None, 'values': [[[1540, 0]], [[1540, 0]], [[1540, 0]], [[1540, 0]], [[-56, 0]], [[-56, 0]], [[-56, 0]], [[-56, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[28, 0]], [[1, 0]], [[1, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-5, 0]], [[0, 0]], [[28, 0]], [[28, 0]], [[28, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223049
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 121, 'cyclotomic_n': 1, 'dim': 2310, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '19958400.a', 'image_order': 19958400, 'indicator': 1, 'kernel': None, 'kernel_order': 4, 'label': '79833600.d.2310a', 'nt': [13860, 0], 'q_character': None, 'values': [[[2310, 0]], [[2310, 0]], [[2310, 0]], [[2310, 0]], [[-14, 0]], [[-14, 0]], [[-14, 0]], [[-14, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-63, 0]], [[-6, 0]], [[-3, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[-63, 0]], [[-63, 0]], [[-63, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223050
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 122, 'cyclotomic_n': 1, 'dim': 2310, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.2310b', 'nt': [20790, 0], 'q_character': None, 'values': [[[2310, 0]], [[-2310, 0]], [[-2310, 0]], [[2310, 0]], [[-14, 0]], [[-14, 0]], [[14, 0]], [[14, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-63, 0]], [[-6, 0]], [[-3, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[63, 0]], [[63, 0]], [[-63, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223051
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 123, 'cyclotomic_n': 1, 'dim': 2310, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.2310c', 'nt': [20790, 0], 'q_character': None, 'values': [[[2310, 0]], [[-2310, 0]], [[2310, 0]], [[-2310, 0]], [[-14, 0]], [[14, 0]], [[14, 0]], [[-14, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-63, 0]], [[-6, 0]], [[-3, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[63, 0]], [[-63, 0]], [[63, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 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]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5223052
    {'center': None, 'center_index': 19958400, 'center_order': 4, 'counter': 124, 'cyclotomic_n': 1, 'dim': 2310, 'faithful': False, 'field': [0, 1], 'group': '79833600.d', 'group_counter': 4, 'group_order': 79833600, 'image': None, 'image_isoclass': '39916800.b', 'image_order': 39916800, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '79833600.d.2310d', 'nt': [20790, 0], 'q_character': None, 'values': [[[2310, 0]], [[2310, 0]], [[-2310, 0]], [[-2310, 0]], [[-14, 0]], [[14, 0]], [[-14, 0]], [[14, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-63, 0]], [[-6, 0]], [[-3, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[5, 0]], [[0, 0]], [[-63, 0]], [[63, 0]], [[63, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 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]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 59956975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 79833600, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 2310, 'label': '79833600.d.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': '79833600.d', 'subgroup_hash': None, 'subgroup_order': 79833600, 'subgroup_tex': 'C_2^2\\times A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 39916800, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.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': '39916800.b', 'subgroup_hash': None, 'subgroup_order': 39916800, 'subgroup_tex': 'C_2\\times A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 39916800, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.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': '39916800.b', 'subgroup_hash': None, 'subgroup_order': 39916800, 'subgroup_tex': 'C_2\\times A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 39916800, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.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': '39916800.b', 'subgroup_hash': None, 'subgroup_order': 39916800, 'subgroup_tex': 'C_2\\times A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': True, 'core_order': 19958400, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': True, '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': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '19958400.a', 'subgroup_hash': None, 'subgroup_order': 19958400, 'subgroup_tex': 'A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 210, 'label': '79833600.d.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7257600.c', 'subgroup_hash': None, 'subgroup_order': 7257600, 'subgroup_tex': 'C_2^2\\times A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 59957641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3628800.b', 'subgroup_hash': None, 'subgroup_order': 3628800, 'subgroup_tex': 'C_2\\times A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 59957752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3628800.b', 'subgroup_hash': None, 'subgroup_order': 3628800, 'subgroup_tex': 'C_2\\times A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 59957863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.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': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3628800.b', 'subgroup_hash': None, 'subgroup_order': 3628800, 'subgroup_tex': 'C_2\\times A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 59956976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1814400.a', 'subgroup_hash': None, 'subgroup_order': 1814400, 'subgroup_tex': 'A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 59956987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.55.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1451520.f', 'subgroup_hash': None, 'subgroup_order': 1451520, 'subgroup_tex': 'C_2^2\\times S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59956998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.110._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '725760.a', 'subgroup_hash': None, 'subgroup_order': 725760, 'subgroup_tex': 'C_2\\times S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.110._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '725760.a', 'subgroup_hash': None, 'subgroup_order': 725760, 'subgroup_tex': 'C_2\\times S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.110._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '725760.a', 'subgroup_hash': None, 'subgroup_order': 725760, 'subgroup_tex': 'C_2\\times S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.110._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '725760.a', 'subgroup_hash': None, 'subgroup_order': 725760, 'subgroup_tex': 'C_2\\times S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.110._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '725760.a', 'subgroup_hash': None, 'subgroup_order': 725760, 'subgroup_tex': 'C_2\\times S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.110._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '725760.a', 'subgroup_hash': None, 'subgroup_order': 725760, 'subgroup_tex': 'C_2\\times S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.110._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '725760.d', 'subgroup_hash': None, 'subgroup_order': 725760, 'subgroup_tex': 'C_2^2\\times A_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.165.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '165.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 165, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '483840.p', 'subgroup_hash': None, 'subgroup_order': 483840, 'subgroup_tex': '(C_2\\times C_6).S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.220._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '362880.a', 'subgroup_hash': None, 'subgroup_order': 362880, 'subgroup_tex': 'S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.220._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '362880.a', 'subgroup_hash': None, 'subgroup_order': 362880, 'subgroup_tex': 'S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.220._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '362880.a', 'subgroup_hash': None, 'subgroup_order': 362880, 'subgroup_tex': 'S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.220._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '362880.a', 'subgroup_hash': None, 'subgroup_order': 362880, 'subgroup_tex': 'S_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.220._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '362880.b', 'subgroup_hash': None, 'subgroup_order': 362880, 'subgroup_tex': 'C_2\\times A_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.220._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '362880.b', 'subgroup_hash': None, 'subgroup_order': 362880, 'subgroup_tex': 'C_2\\times A_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.220._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '362880.b', 'subgroup_hash': None, 'subgroup_order': 362880, 'subgroup_tex': 'C_2\\times A_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.330._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '241920.k', 'subgroup_hash': None, 'subgroup_order': 241920, 'subgroup_tex': 'C_6:S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.330._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '241920.k', 'subgroup_hash': None, 'subgroup_order': 241920, 'subgroup_tex': 'C_6:S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.330._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '241920.k', 'subgroup_hash': None, 'subgroup_order': 241920, 'subgroup_tex': 'C_6:S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.330._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '241920.k', 'subgroup_hash': None, 'subgroup_order': 241920, 'subgroup_tex': 'C_6:S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.330._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '241920.k', 'subgroup_hash': None, 'subgroup_order': 241920, 'subgroup_tex': 'C_6:S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.330._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '241920.k', 'subgroup_hash': None, 'subgroup_order': 241920, 'subgroup_tex': 'C_6:S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.330._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '241920.x', 'subgroup_hash': None, 'subgroup_order': 241920, 'subgroup_tex': 'C_2\\times C_6\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.330._.H', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '330.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': 330, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '241920.p', 'subgroup_hash': None, 'subgroup_order': 241920, 'subgroup_tex': '(C_2^2\\times A_4).S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.440.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '181440.b', 'subgroup_hash': None, 'subgroup_order': 181440, 'subgroup_tex': 'A_9', 'supersolvable': False, 'sylow': 0}
  • id: 59957264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.462.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '462.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 462, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '172800.t', 'subgroup_hash': None, 'subgroup_order': 172800, 'subgroup_tex': 'C_2^2\\times A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.495.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '495.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 495, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '161280.be', 'subgroup_hash': None, 'subgroup_order': 161280, 'subgroup_tex': 'C_2^2\\times S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.c', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_3:S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.c', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_3:S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.c', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_3:S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.c', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_3:S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.z', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_6\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.z', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_6\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.z', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_6\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.n', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_2^2\\times A_4\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.h', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_2\\times A_4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.h', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_2\\times A_4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.h', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_2\\times A_4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.h', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_2\\times A_4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.h', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_2\\times A_4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.660._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '660.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': 660, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120960.h', 'subgroup_hash': None, 'subgroup_order': 120960, 'subgroup_tex': 'C_2\\times A_4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.924._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '924.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 924, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '86400.n', 'subgroup_hash': None, 'subgroup_order': 86400, 'subgroup_tex': 'C_2\\times A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.924._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '924.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': 924, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '86400.n', 'subgroup_hash': None, 'subgroup_order': 86400, 'subgroup_tex': 'C_2\\times A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.924._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '924.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': 924, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '86400.n', 'subgroup_hash': None, 'subgroup_order': 86400, 'subgroup_tex': 'C_2\\times A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.924._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '924.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': 924, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '86400.n', 'subgroup_hash': None, 'subgroup_order': 86400, 'subgroup_tex': 'C_2\\times A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.924._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '924.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': 924, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '86400.n', 'subgroup_hash': None, 'subgroup_order': 86400, 'subgroup_tex': 'C_2\\times A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.924._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '924.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': 924, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '86400.n', 'subgroup_hash': None, 'subgroup_order': 86400, 'subgroup_tex': 'C_2\\times A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.924._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '924.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': 924, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '86400.bm', 'subgroup_hash': None, 'subgroup_order': 86400, 'subgroup_tex': 'C_2^2\\times A_5\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.990._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '990.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 990, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80640.bf', 'subgroup_hash': None, 'subgroup_order': 80640, 'subgroup_tex': 'C_2^2\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.990._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '990.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': 990, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80640.b', 'subgroup_hash': None, 'subgroup_order': 80640, 'subgroup_tex': 'C_2\\times S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.990._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '990.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': 990, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80640.b', 'subgroup_hash': None, 'subgroup_order': 80640, 'subgroup_tex': 'C_2\\times S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.990._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '990.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': 990, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80640.b', 'subgroup_hash': None, 'subgroup_order': 80640, 'subgroup_tex': 'C_2\\times S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.990._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '990.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': 990, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80640.b', 'subgroup_hash': None, 'subgroup_order': 80640, 'subgroup_tex': 'C_2\\times S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.990._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '990.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': 990, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80640.b', 'subgroup_hash': None, 'subgroup_order': 80640, 'subgroup_tex': 'C_2\\times S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.990._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '990.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': 990, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80640.b', 'subgroup_hash': None, 'subgroup_order': 80640, 'subgroup_tex': 'C_2\\times S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.990._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '990.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': 990, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80640.bh', 'subgroup_hash': None, 'subgroup_order': 80640, 'subgroup_tex': 'C_2^4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1320._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1320.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60480.c', 'subgroup_hash': None, 'subgroup_order': 60480, 'subgroup_tex': 'C_3\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1320._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1320.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': 1320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60480.e', 'subgroup_hash': None, 'subgroup_order': 60480, 'subgroup_tex': 'A_4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1320._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1320.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': 1320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60480.e', 'subgroup_hash': None, 'subgroup_order': 60480, 'subgroup_tex': 'A_4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1320._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1320.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': 1320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60480.e', 'subgroup_hash': None, 'subgroup_order': 60480, 'subgroup_tex': 'A_4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1320._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1320.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': 1320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60480.e', 'subgroup_hash': None, 'subgroup_order': 60480, 'subgroup_tex': 'A_4:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1320._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1320.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': 1320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60480.g', 'subgroup_hash': None, 'subgroup_order': 60480, 'subgroup_tex': 'C_2\\times A_4\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1320._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1320.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': 1320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60480.g', 'subgroup_hash': None, 'subgroup_order': 60480, 'subgroup_tex': 'C_2\\times A_4\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1320._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1320.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': 1320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60480.g', 'subgroup_hash': None, 'subgroup_order': 60480, 'subgroup_tex': 'C_2\\times A_4\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1320._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1320.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': 1320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60480.q', 'subgroup_hash': None, 'subgroup_order': 60480, 'subgroup_tex': 'C_2\\times C_6:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1386.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1386.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1386, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '57600.bc', 'subgroup_hash': None, 'subgroup_order': 57600, 'subgroup_tex': 'A_5^2:C_4\\times C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1848._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1848.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1848, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43200.p', 'subgroup_hash': None, 'subgroup_order': 43200, 'subgroup_tex': 'A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1848._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1848.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': 1848, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43200.p', 'subgroup_hash': None, 'subgroup_order': 43200, 'subgroup_tex': 'A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1848._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1848.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': 1848, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43200.p', 'subgroup_hash': None, 'subgroup_order': 43200, 'subgroup_tex': 'A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1848._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1848.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': 1848, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43200.p', 'subgroup_hash': None, 'subgroup_order': 43200, 'subgroup_tex': 'A_5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1848._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1848.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': 1848, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43200.ba', 'subgroup_hash': None, 'subgroup_order': 43200, 'subgroup_tex': 'C_2\\times A_5\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1848._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1848.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': 1848, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43200.ba', 'subgroup_hash': None, 'subgroup_order': 43200, 'subgroup_tex': 'C_2\\times A_5\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1848._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1848.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': 1848, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43200.ba', 'subgroup_hash': None, 'subgroup_order': 43200, 'subgroup_tex': 'C_2\\times A_5\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.i', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.i', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.i', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.bl', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^4\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.a', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.a', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.a', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.a', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'S_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.bj', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3.S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.p', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.1980._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1980.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': 1980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.bi', 'subgroup_hash': None, 'subgroup_order': 40320, 'subgroup_tex': 'C_2^3\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2310.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2310.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34560.y', 'subgroup_hash': None, 'subgroup_order': 34560, 'subgroup_tex': 'C_2^2\\times A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59956984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2520._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31680.l', 'subgroup_hash': None, 'subgroup_order': 31680, 'subgroup_tex': 'C_2^2\\times M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59956985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2520._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.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': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31680.l', 'subgroup_hash': None, 'subgroup_order': 31680, 'subgroup_tex': 'C_2^2\\times M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59956986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2640._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2640.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30240.c', 'subgroup_hash': None, 'subgroup_order': 30240, 'subgroup_tex': 'A_4\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2640._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2640.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': 2640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30240.f', 'subgroup_hash': None, 'subgroup_order': 30240, 'subgroup_tex': 'C_6:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2640._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2640.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': 2640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30240.f', 'subgroup_hash': None, 'subgroup_order': 30240, 'subgroup_tex': 'C_6:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2640._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2640.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': 2640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30240.f', 'subgroup_hash': None, 'subgroup_order': 30240, 'subgroup_tex': 'C_6:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2640._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2640.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': 2640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30240.f', 'subgroup_hash': None, 'subgroup_order': 30240, 'subgroup_tex': 'C_6:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2640._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2640.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': 2640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30240.f', 'subgroup_hash': None, 'subgroup_order': 30240, 'subgroup_tex': 'C_6:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2640._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2640.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': 2640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30240.l', 'subgroup_hash': None, 'subgroup_order': 30240, 'subgroup_tex': 'C_2\\times C_6\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2640._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2640.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': 2640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30240.f', 'subgroup_hash': None, 'subgroup_order': 30240, 'subgroup_tex': 'C_6:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59956995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2772._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2772.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28800.s', 'subgroup_hash': None, 'subgroup_order': 28800, 'subgroup_tex': 'C_2\\times A_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59956996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2772._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2772.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': 2772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28800.s', 'subgroup_hash': None, 'subgroup_order': 28800, 'subgroup_tex': 'C_2\\times A_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59956997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2772._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2772.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': 2772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28800.s', 'subgroup_hash': None, 'subgroup_order': 28800, 'subgroup_tex': 'C_2\\times A_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59956999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2772._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2772.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': 2772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28800.s', 'subgroup_hash': None, 'subgroup_order': 28800, 'subgroup_tex': 'C_2\\times A_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2772._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2772.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': 2772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28800.s', 'subgroup_hash': None, 'subgroup_order': 28800, 'subgroup_tex': 'C_2\\times A_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2772._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2772.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': 2772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28800.s', 'subgroup_hash': None, 'subgroup_order': 28800, 'subgroup_tex': 'C_2\\times A_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2772._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2772.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': 2772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28800.cl', 'subgroup_hash': None, 'subgroup_order': 28800, 'subgroup_tex': 'A_5^2:C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 59957003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2772._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2772.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': 2772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28800.cl', 'subgroup_hash': None, 'subgroup_order': 28800, 'subgroup_tex': 'A_5^2:C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 59957004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.2772._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2772.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': 2772, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28800.cx', 'subgroup_hash': None, 'subgroup_order': 28800, 'subgroup_tex': 'C_2\\times D_{10}.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3696.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3696.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3696, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21600.o', 'subgroup_hash': None, 'subgroup_order': 21600, 'subgroup_tex': 'A_5\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.a', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'A_8', 'supersolvable': False, 'sylow': 0}
  • id: 59957007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.x', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^3\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.x', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^3\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.x', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^3\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.l', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.l', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.l', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.x', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^3\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.l', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.x', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^3\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.l', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.x', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^3\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.l', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.x', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^3\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.w', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2\\times A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.w', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2\\times A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.w', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2\\times A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.w', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2\\times A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.w', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2\\times A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.w', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2\\times A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.l', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.l', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.l', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.3960._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3960.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': 3960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.l', 'subgroup_hash': None, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4620._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4620.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17280.j', 'subgroup_hash': None, 'subgroup_order': 17280, 'subgroup_tex': 'C_2\\times A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4620._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4620.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': 4620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17280.j', 'subgroup_hash': None, 'subgroup_order': 17280, 'subgroup_tex': 'C_2\\times A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4620._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4620.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': 4620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17280.j', 'subgroup_hash': None, 'subgroup_order': 17280, 'subgroup_tex': 'C_2\\times A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4620._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4620.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': 4620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17280.j', 'subgroup_hash': None, 'subgroup_order': 17280, 'subgroup_tex': 'C_2\\times A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4620._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4620.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': 4620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17280.j', 'subgroup_hash': None, 'subgroup_order': 17280, 'subgroup_tex': 'C_2\\times A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4620._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4620.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': 4620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17280.j', 'subgroup_hash': None, 'subgroup_order': 17280, 'subgroup_tex': 'C_2\\times A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4620._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4620.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': 4620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17280.bv', 'subgroup_hash': None, 'subgroup_order': 17280, 'subgroup_tex': 'C_2^2\\times A_4\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4620._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4620.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': 4620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17280.by', 'subgroup_hash': None, 'subgroup_order': 17280, 'subgroup_tex': 'C_2\\times D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4620._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4620.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': 4620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17280.dl', 'subgroup_hash': None, 'subgroup_order': 17280, 'subgroup_tex': '(C_6^2\\times A_5):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.4950.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4950.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4950, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16128.by', 'subgroup_hash': None, 'subgroup_order': 16128, 'subgroup_tex': 'C_6\\times C_2^4:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5040._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15840.q', 'subgroup_hash': None, 'subgroup_order': 15840, 'subgroup_tex': 'C_2\\times M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5040._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.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': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15840.q', 'subgroup_hash': None, 'subgroup_order': 15840, 'subgroup_tex': 'C_2\\times M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5040._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.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': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15840.q', 'subgroup_hash': None, 'subgroup_order': 15840, 'subgroup_tex': 'C_2\\times M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5040._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.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': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15840.q', 'subgroup_hash': None, 'subgroup_order': 15840, 'subgroup_tex': 'C_2\\times M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5040._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.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': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15840.q', 'subgroup_hash': None, 'subgroup_order': 15840, 'subgroup_tex': 'C_2\\times M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5040._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.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': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15840.q', 'subgroup_hash': None, 'subgroup_order': 15840, 'subgroup_tex': 'C_2\\times M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5280._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5280.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15120.f', 'subgroup_hash': None, 'subgroup_order': 15120, 'subgroup_tex': 'C_3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5280._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5280.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': 5280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15120.f', 'subgroup_hash': None, 'subgroup_order': 15120, 'subgroup_tex': 'C_3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5280._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5280.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': 5280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15120.f', 'subgroup_hash': None, 'subgroup_order': 15120, 'subgroup_tex': 'C_3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5280._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5280.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': 5280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15120.f', 'subgroup_hash': None, 'subgroup_order': 15120, 'subgroup_tex': 'C_3:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5280._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5280.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': 5280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15120.g', 'subgroup_hash': None, 'subgroup_order': 15120, 'subgroup_tex': 'C_6\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5280._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5280.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': 5280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15120.g', 'subgroup_hash': None, 'subgroup_order': 15120, 'subgroup_tex': 'C_6\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5280._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5280.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': 5280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15120.g', 'subgroup_hash': None, 'subgroup_order': 15120, 'subgroup_tex': 'C_6\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.bd', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.bd', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.bd', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.bd', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957080
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.cf', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'C_2^2\\times A_5^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.cb', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'D_{10}.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957091
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.cf', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'C_2^2\\times A_5^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.cp', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'C_2\\times D_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.cb', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'D_{10}.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.cb', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'D_{10}.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.cb', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'D_{10}.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.cb', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'D_{10}.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.ca', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'A_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5544._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5544.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': 5544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14400.cb', 'subgroup_hash': None, 'subgroup_order': 14400, 'subgroup_tex': 'D_{10}.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.5775.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5775.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5775, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.ix', 'subgroup_hash': None, 'subgroup_order': 13824, 'subgroup_tex': 'C_6:S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.6930._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6930.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6930, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.cv', 'subgroup_hash': None, 'subgroup_order': 11520, 'subgroup_tex': 'C_2^2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.6930._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6930.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': 6930, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.ew', 'subgroup_hash': None, 'subgroup_order': 11520, 'subgroup_tex': 'C_2^4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.6930._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6930.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': 6930, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.cv', 'subgroup_hash': None, 'subgroup_order': 11520, 'subgroup_tex': 'C_2^2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.m', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.m', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.m', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.m', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.7920._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7920.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': 7920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': None, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.o', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.o', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.o', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.o', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.s', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'C_2\\times A_4\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.s', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'C_2\\times A_4\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.s', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'C_2\\times A_4\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.ct', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'C_2\\times D_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.co', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'C_2\\times C_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cp', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'C_2\\times C_6:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.fl', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'A_5:D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957169
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.gd', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'C_6^2:C_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.fl', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'A_5:D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.cm', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': '(C_6\\times \\GL(2,4)):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9240._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9240.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': 9240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.t', 'subgroup_hash': None, 'subgroup_order': 8640, 'subgroup_tex': 'D_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9900._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9900.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8064.by', 'subgroup_hash': None, 'subgroup_order': 8064, 'subgroup_tex': 'C_6\\times C_2^3:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9900._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9900.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': 9900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8064.by', 'subgroup_hash': None, 'subgroup_order': 8064, 'subgroup_tex': 'C_6\\times C_2^3:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9900._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9900.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': 9900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8064.by', 'subgroup_hash': None, 'subgroup_order': 8064, 'subgroup_tex': 'C_6\\times C_2^3:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.9900._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9900.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': 9900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8064.cn', 'subgroup_hash': None, 'subgroup_order': 8064, 'subgroup_tex': 'C_2^2\\times A_4\\times \\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.10080._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7920.a', 'subgroup_hash': None, 'subgroup_order': 7920, 'subgroup_tex': 'M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.10080._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.B', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7920.a', 'subgroup_hash': None, 'subgroup_order': 7920, 'subgroup_tex': 'M_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 59957191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.10395.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10395.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10395, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': None, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.10560.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10560.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7560.e', 'subgroup_hash': None, 'subgroup_order': 7560, 'subgroup_tex': 'C_3\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.d', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': '\\PSOPlus(4,5)', 'supersolvable': False, 'sylow': 0}
  • id: 59957194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cz', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'C_2\\times A_5^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957195
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cz', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'C_2\\times A_5^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957196
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cz', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'C_2\\times A_5^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.d', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': '\\PSOPlus(4,5)', 'supersolvable': False, 'sylow': 0}
  • id: 59957200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.d', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': '\\PSOPlus(4,5)', 'supersolvable': False, 'sylow': 0}
  • id: 59957201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.d', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': '\\PSOPlus(4,5)', 'supersolvable': False, 'sylow': 0}
  • id: 59957202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cq', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'D_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cq', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'D_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cq', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'D_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cq', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'D_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cq', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'D_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.dn', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'C_2\\times C_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.ck', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'A_6:F_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.ck', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'A_6:F_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.ck', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'A_6:F_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.ck', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'A_6:F_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.d', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': '\\PSOPlus(4,5)', 'supersolvable': False, 'sylow': 0}
  • id: 59957214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.d', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': '\\PSOPlus(4,5)', 'supersolvable': False, 'sylow': 0}
  • id: 59957215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.d', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': '\\PSOPlus(4,5)', 'supersolvable': False, 'sylow': 0}
  • id: 59957216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.d', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': '\\PSOPlus(4,5)', 'supersolvable': False, 'sylow': 0}
  • id: 59957217
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cz', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'C_2\\times A_5^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cz', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'C_2\\times A_5^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957219
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cz', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'C_2\\times A_5^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11088._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11088.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': 11088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7200.cq', 'subgroup_hash': None, 'subgroup_order': 7200, 'subgroup_tex': 'D_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.gp', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': 'C_2\\times C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.ns', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': 'C_2^6:C_3^3:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.gn', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': 'C_6\\times A_4^2:C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 59957225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.11550._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11550.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': 11550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.fe', 'subgroup_hash': None, 'subgroup_order': 6912, 'subgroup_tex': '(C_6\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13200.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13200.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6048.r', 'subgroup_hash': None, 'subgroup_order': 6048, 'subgroup_tex': 'C_2^2\\times {}^2G(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.gv', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^4\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.ei', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.ec', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.ej', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eb', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.gq', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.ec', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eb', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.ej', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.co', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2\\times S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.13860._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13860.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': 13860, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.ej', 'subgroup_hash': None, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.14850.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14850.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14850, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5376.bx', 'subgroup_hash': None, 'subgroup_order': 5376, 'subgroup_tex': 'C_2^5:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15400.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15400.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5184.od', 'subgroup_hash': None, 'subgroup_order': 5184, 'subgroup_tex': 'C_2^2\\times S_3\\wr S_3', 'supersolvable': False, 'sylow': 0}
  • id: 59957292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.v', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'C_2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.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': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.v', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'C_2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.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': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.v', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'C_2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.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': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.v', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'C_2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.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': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.v', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'C_2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.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': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.v', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'C_2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.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': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.v', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'C_2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.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': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.w', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.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': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.w', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.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': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.w', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.15840._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15840.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': 15840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.w', 'subgroup_hash': None, 'subgroup_order': 5040, 'subgroup_tex': 'S_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.16632._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16632.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4800.ch', 'subgroup_hash': None, 'subgroup_order': 4800, 'subgroup_tex': 'C_2\\times D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.16632._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16632.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': 16632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4800.ch', 'subgroup_hash': None, 'subgroup_order': 4800, 'subgroup_tex': 'C_2\\times D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.17325._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '17325.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 17325, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.qs', 'subgroup_hash': None, 'subgroup_order': 4608, 'subgroup_tex': '(D_6\\times C_2^4):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.17325._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '17325.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': 17325, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fk', 'subgroup_hash': None, 'subgroup_order': 4608, 'subgroup_tex': 'S_4^2:C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 59957310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bh', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_4\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.da', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times C_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957328
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.gz', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6:D_6\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bu', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'D_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bu', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'D_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bu', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'D_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bu', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'D_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bu', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'D_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bu', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'D_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bt', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bt', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bt', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bt', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bt', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bt', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bv', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bv', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bv', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bv', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bv', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bv', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bg', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'S_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957357
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.ci', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': '(C_6\\times \\GL(2,4)):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957358
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.ci', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': '(C_6\\times \\GL(2,4)):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957359
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.ci', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': '(C_6\\times \\GL(2,4)):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957360
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.ci', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': '(C_6\\times \\GL(2,4)):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957361
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.ci', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': '(C_6\\times \\GL(2,4)):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957362
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.ci', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': '(C_6\\times \\GL(2,4)):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.br', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'A_5:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.df', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6^2:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.df', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_6^2:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.18480._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18480.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': 18480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.cl', 'subgroup_hash': None, 'subgroup_order': 4320, 'subgroup_tex': 'C_2\\times A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.19800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19800.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 19800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4032.cj', 'subgroup_hash': None, 'subgroup_order': 4032, 'subgroup_tex': 'C_3\\times C_2^3:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.19800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19800.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': 19800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4032.cr', 'subgroup_hash': None, 'subgroup_order': 4032, 'subgroup_tex': 'C_2\\times A_4\\times \\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.19800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19800.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': 19800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4032.cr', 'subgroup_hash': None, 'subgroup_order': 4032, 'subgroup_tex': 'C_2\\times A_4\\times \\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.19800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19800.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': 19800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4032.cr', 'subgroup_hash': None, 'subgroup_order': 4032, 'subgroup_tex': 'C_2\\times A_4\\times \\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.19800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19800.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': 19800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4032.el', 'subgroup_hash': None, 'subgroup_order': 4032, 'subgroup_tex': 'C_2\\times C_6:\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 59957402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.20790._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20790.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20790, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': None, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.20790._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20790.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': 20790, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': None, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.20790._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20790.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': 20790, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': None, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.20790._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20790.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': 20790, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': None, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.20790._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20790.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': 20790, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': None, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.20790._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20790.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': 20790, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': None, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.20790._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20790.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': 20790, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ck', 'subgroup_hash': None, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.20790._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20790.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': 20790, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.fi', 'subgroup_hash': None, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957411
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22176._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22176.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3600.a', 'subgroup_hash': None, 'subgroup_order': 3600, 'subgroup_tex': 'A_5^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22176._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22176.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': 22176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3600.da', 'subgroup_hash': None, 'subgroup_order': 3600, 'subgroup_tex': 'C_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22176._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22176.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': 22176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3600.da', 'subgroup_hash': None, 'subgroup_order': 3600, 'subgroup_tex': 'C_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957414
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22176._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22176.D', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3600.a', 'subgroup_hash': None, 'subgroup_order': 3600, 'subgroup_tex': 'A_5^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22176._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22176.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': 22176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3600.da', 'subgroup_hash': None, 'subgroup_order': 3600, 'subgroup_tex': 'C_{10}\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22176._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22176.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': 22176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3600.ce', 'subgroup_hash': None, 'subgroup_order': 3600, 'subgroup_tex': 'D_5\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22176._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22176.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': 22176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3600.ce', 'subgroup_hash': None, 'subgroup_order': 3600, 'subgroup_tex': 'D_5\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22176._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22176.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': 22176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3600.ce', 'subgroup_hash': None, 'subgroup_order': 3600, 'subgroup_tex': 'D_5\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.22176._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22176.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': 22176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3600.ce', 'subgroup_hash': None, 'subgroup_order': 3600, 'subgroup_tex': 'D_5\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.no', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:C_2^2\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.fw', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_6\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.fw', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_6\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.fw', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_6\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.fw', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_6\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.fw', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_6\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.fw', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_6\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.ei', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.ei', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.ei', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.ei', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.ei', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.ei', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.da', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.ei', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.qb', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:C_2^2\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.ei', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jl', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_2\\times A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.ei', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_6\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.23100._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23100.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': 23100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.kw', 'subgroup_hash': None, 'subgroup_order': 3456, 'subgroup_tex': 'C_2^2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.26400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26400.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 26400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3024.r', 'subgroup_hash': None, 'subgroup_order': 3024, 'subgroup_tex': '\\SL(2,8):C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.26400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26400.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': 26400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3024.r', 'subgroup_hash': None, 'subgroup_order': 3024, 'subgroup_tex': '\\SL(2,8):C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.26400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26400.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': 26400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3024.r', 'subgroup_hash': None, 'subgroup_order': 3024, 'subgroup_tex': '\\SL(2,8):C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.gr', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.gr', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.gr', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.du', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.gr', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.du', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.du', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.du', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.du', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.du', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.du', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957501
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.gn', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^4:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 59957502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.gr', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.gr', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.gr', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ea', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.hg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.hg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.hg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.hg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.hg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.hg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957554
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.gn', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^4:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 59957555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.ei', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times S_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dv', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'S_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.du', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.du', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.du', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^2\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957596
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.gn', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2^4:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 59957598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.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': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.eg', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'C_2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.em', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': 'A_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 59957603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.jh', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': '(D_5\\times C_6^2).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dt', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': '\\GL(2,4):C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 59957605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dt', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': '\\GL(2,4):C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 59957606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.27720._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27720.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2880.dt', 'subgroup_hash': None, 'subgroup_order': 2880, 'subgroup_tex': '\\GL(2,4):C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 59957607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.29700._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29700.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 29700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2688.cd', 'subgroup_hash': None, 'subgroup_order': 2688, 'subgroup_tex': 'C_2^4:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.29700._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29700.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': 29700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2688.cd', 'subgroup_hash': None, 'subgroup_order': 2688, 'subgroup_tex': 'C_2^4:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.29700._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29700.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': 29700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2688.cd', 'subgroup_hash': None, 'subgroup_order': 2688, 'subgroup_tex': 'C_2^4:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.29700._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29700.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': 29700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2688.dz', 'subgroup_hash': None, 'subgroup_order': 2688, 'subgroup_tex': 'C_2^4\\times \\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957612
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30240._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30240.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2640.bt', 'subgroup_hash': None, 'subgroup_order': 2640, 'subgroup_tex': 'C_2^2\\times \\PSL(2,11)', 'supersolvable': False, 'sylow': 0}
  • id: 59957613
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30240._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30240.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': 30240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2640.bt', 'subgroup_hash': None, 'subgroup_order': 2640, 'subgroup_tex': 'C_2^2\\times \\PSL(2,11)', 'supersolvable': False, 'sylow': 0}
  • id: 59957614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.cg', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'S_3^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.kj', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'C_2^2\\times C_3^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.jx', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'C_2^2\\times S_3\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 59957629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.30800._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30800.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': 30800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.kr', 'subgroup_hash': None, 'subgroup_order': 2592, 'subgroup_tex': 'C_2^2\\times C_3^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.31680.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31680.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 31680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2520.a', 'subgroup_hash': None, 'subgroup_order': 2520, 'subgroup_tex': 'A_7', 'supersolvable': False, 'sylow': 0}
  • id: 59957632
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.eo', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'C_2\\times D_{10}\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957633
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.eo', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'C_2\\times D_{10}\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.33264._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33264.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': 33264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2400.ec', 'subgroup_hash': None, 'subgroup_order': 2400, 'subgroup_tex': 'D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.hr', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^4:D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ro', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^4\\times C_6).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.mr', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'C_6\\times C_2^4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ep', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(C_2^3\\times D_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.er', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^2\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.hu', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'A_4^2:C_4\\times C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.rs', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': '(D_6\\times C_2^4):A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ea', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.re', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^4:D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.rz', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'C_6\\times C_2^4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.34650._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '34650.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': 34650, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.er', 'subgroup_hash': None, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^2\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957684
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.es', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_6^2\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cn', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cn', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cn', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_6\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957689
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.dh', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957690
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.dh', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957691
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.dh', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957692
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.dh', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957693
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.dh', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957694
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.dh', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ca', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'S_3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ca', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'S_3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ca', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'S_3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ca', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'S_3\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.bz', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.bz', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.bz', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.bz', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3\\times S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cb', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cb', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cb', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cb', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957713
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cj', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3^2:C_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957714
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cj', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3^2:C_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957715
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cj', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3^2:C_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957716
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.cj', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'C_3^2:C_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.df', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': '\\GL(2,4):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.36960._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36960.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': 36960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2160.ch', 'subgroup_hash': None, 'subgroup_order': 2160, 'subgroup_tex': 'A_5:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.cx', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'A_4\\times \\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957749
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.da', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_2^2\\times \\SL(2,8)', 'supersolvable': False, 'sylow': 0}
  • id: 59957750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.ei', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_6:\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 59957751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.ei', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_6:\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 59957754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.de', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_2\\times C_6\\times \\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.ei', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_6:\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 59957756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.ei', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_6:\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 59957757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.ei', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_6:\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 59957758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.ei', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_6:\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 59957759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.dn', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_{14}:(C_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 59957760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.de', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_2\\times C_6\\times \\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 59957761
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.39600._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39600.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': 39600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.dt', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'F_8:C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240610', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240610', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240996', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240996', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240996', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240996', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240997', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240997', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240997', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240594', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2\\times D_4\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240590', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_4\\times C_2^2\\times S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240593', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^2\\times C_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240592', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240592', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240595', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^2\\times D_4\\times A_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240396', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^2\\times F_5\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240396', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^2\\times F_5\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.41580._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '41580.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': 41580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1920.240592', 'subgroup_hash': None, 'subgroup_order': 1920, 'subgroup_tex': 'C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 59957807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.44352.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44352.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1800.555', 'subgroup_hash': None, 'subgroup_order': 1800, 'subgroup_tex': 'C_5\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47854', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957810
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47904', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2^6:C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 59957811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47879', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_6\\times \\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47879', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_6\\times \\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47879', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_6\\times \\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47879', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_6\\times \\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47879', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_6\\times \\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47879', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_6\\times \\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47853', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47853', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47853', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47853', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47850', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': '(C_3\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47850', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': '(C_3\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47850', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': '(C_3\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47850', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': '(C_3\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47854', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47854', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47854', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47854', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47877', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4\\wr C_2\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47877', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4\\wr C_2\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47877', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4\\wr C_2\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47877', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4\\wr C_2\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47853', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47853', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47853', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47853', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47853', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47853', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47877', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4\\wr C_2\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47877', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4\\wr C_2\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47876', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47876', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47876', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47876', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47876', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47876', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47854', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47854', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47854', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47854', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47854', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_3\\times \\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47896', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4:D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957858
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47891', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4\\times C_6^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47896', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'A_4:D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 59957860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47870', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_2\\times C_6^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59957873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47887', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'D_6^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 59957874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.46200._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46200.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': 46200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47845', 'subgroup_hash': None, 'subgroup_order': 1728, 'subgroup_tex': 'C_6^2:\\GL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.49896.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '49896.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 49896, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1600.10263', 'subgroup_hash': None, 'subgroup_order': 1600, 'subgroup_tex': 'C_{10}^2:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 59957877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.51975._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '51975.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 51975, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.230685567', 'subgroup_hash': None, 'subgroup_order': 1536, 'subgroup_tex': '(C_2^3\\times D_{12}):D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59957878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.51975._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '51975.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': 51975, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408616169', 'subgroup_hash': None, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^6:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 59957879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.52800.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52800.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 52800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1512.779', 'subgroup_hash': None, 'subgroup_order': 1512, 'subgroup_tex': '{}^2G(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 59957880
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '79833600.d.19958400._.A', 'maximal': False, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '19958400.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '19958400.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 19958400, 'quotient_simple': True, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'A_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59957881
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 915, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '79833600.d.39916800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '39916800.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '39916800.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 39916800, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times A_{11}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59957882
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 916, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '79833600.d.39916800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '39916800.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '39916800.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 39916800, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times A_{11}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59957883
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 917, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '79833600.d.39916800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '39916800.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '39916800.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 39916800, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times A_{11}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59957884
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '79833600.d', 'ambient_counter': 4, 'ambient_order': 79833600, 'ambient_tex': 'C_2^2\\times A_{11}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 918, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '79833600.d.79833600.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '79833600.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '79833600.d', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 79833600, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times A_{11}', '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: 59956994
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [817936, 136096, 6706022400, 15256, 6230649623, 4037880, 1265056, 16, 1440], 'label': '79833600.d.2640._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2640.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2640._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957014
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274491273736, 16, 7, 274467916816, 274475174407], 'label': '79833600.d.3960._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956995
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [3639616, 1480550520, 39976675216, 1456, 10920, 16, 6749568016, 46216, 43555680, 1440650296, 997920136], 'label': '79833600.d.2772._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2772.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2772._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957095
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292800, 261574790423, 23, 13412785823, 273990453856], 'label': '79833600.d.5544._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956996
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [10920, 3639616, 43555680, 6749568016, 1480550520, 997920136, 39976675223, 1456, 16, 46216, 1440650296], 'label': '79833600.d.2772._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2772.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2772._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956997
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [6749568000, 39976675216, 1463, 997920143, 10920, 46223, 23, 1480550543, 1440650280, 3639600, 43555680], 'label': '79833600.d.2772._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2772.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2772._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957096
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292800, 261574790423, 23, 13412785823, 273990453840], 'label': '79833600.d.5544._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957097
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [40296360, 174877412416, 16], 'label': '79833600.d.5544._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957140
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87178331543, 7, 87341669296], 'label': '79833600.d.7920._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957180
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [355459189696, 1574040, 1624320, 7, 262493370856, 494760, 817920], 'label': '79833600.d.9240._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956998
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [87657292823, 56896, 1440, 522956280, 16, 15856, 5160, 127440, 3669136, 283087456, 903720], 'label': '79833600.d.110._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957262
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [93888038303, 23, 274467916807, 186810624023, 274472318287], 'label': '79833600.d.13860._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956999
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [39976675200, 46223, 1463, 23, 1440650280, 10920, 3639600, 43555680, 6749568000, 997920143, 1480550543], 'label': '79833600.d.2772._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2772.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2772._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957000
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [1440650280, 10920, 3639600, 43555680, 1480550527, 997920127, 39976675216, 1447, 7, 6749568000, 46207], 'label': '79833600.d.2772._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2772.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2772._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957001
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [39976675200, 6749568000, 1480550527, 1440650280, 1447, 10920, 7, 997920127, 46207, 43555680, 3639600], 'label': '79833600.d.2772._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2772.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2772._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957002
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [262534255207, 997960320, 16, 7], 'label': '79833600.d.2772._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2772.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2772._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957003
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [40296360, 94365220463, 16, 7], 'label': '79833600.d.2772._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2772.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2772._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957004
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [16, 6267790216, 87657292807, 175314585623, 7, 187289630663], 'label': '79833600.d.2772._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2772.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2772._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957005
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '3696.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': 462, 'diagramx': None, 'generators': [186811511880, 355419630840], 'label': '79833600.d.3696.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3696.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3696.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957006
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [255634560, 164748240], 'label': '79833600.d.3960._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957007
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [87664550400, 87680649720, 274467916800, 7, 186810624007], 'label': '79833600.d.3960._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957008
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [87664550400, 87680649720, 186810624000, 16, 274467916816], 'label': '79833600.d.3960._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957263
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [93888038303, 23, 274472318303, 274467916823, 186810624023], 'label': '79833600.d.13860._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957305
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [187289993640, 87657292823, 16, 194035564807, 7, 100152501143], 'label': '79833600.d.16632._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16632.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16632._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957009
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [56896, 1440, 87657292816, 522956280, 16, 15856, 5160, 127440, 3669136, 283087456, 903720], 'label': '79833600.d.110._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957010
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [87664550400, 87680649720, 23, 274467916800, 186810624023], 'label': '79833600.d.3960._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957011
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [56280, 4037880, 1860496, 1613640, 15840, 856, 363016, 87659228160, 16, 482630400], 'label': '79833600.d.3960._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957349
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [40002496, 93405312000, 16, 448560, 262444456, 87179425216], 'label': '79833600.d.18480._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957181
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [494776, 1574040, 1624320, 7, 262493370856, 817920, 355459189680], 'label': '79833600.d.9240._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957012
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [482630423, 56280, 4037887, 87659228167, 1860487, 1613640, 847, 7, 15847, 363000], 'label': '79833600.d.3960._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957261
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [93888038296, 16, 186810624016, 274467916807, 274472318287], 'label': '79833600.d.13860._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957013
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [56280, 4037880, 1860496, 1613640, 15840, 856, 363016, 87659228160, 16, 482630407], 'label': '79833600.d.3960._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956993
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [93405312007, 16, 41045887, 7, 163710000], 'label': '79833600.d.2640._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2640.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2640._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956975
    {'ambient': '79833600.d', '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': [15240, 12976997896, 258864600, 1456, 125199480, 4153807, 1619423, 7716256, 522956280, 7, 82087, 16, 11520, 93405312000], 'label': '79833600.d.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: 59956976
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '44.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': '44T1260', 'count': 11, 'diagramx': None, 'generators': [367920, 12976997880, 1440, 13499953920, 87505320, 6600, 22181160, 172200, 123868800, 279831000, 11289720], 'label': '79833600.d.44.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956977
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [23, 93896295120, 274467916816, 93887942400, 186810624023], 'label': '79833600.d.1980._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956978
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274467916800, 7, 93896295136, 93887942416, 186810624007], 'label': '79833600.d.1980._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956979
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274467916800, 93896295120, 7, 93887942400, 186810624007], 'label': '79833600.d.1980._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956980
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93896295120, 7, 274467916816, 93887942400, 186810624007], 'label': '79833600.d.1980._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956981
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [7, 274467916816, 93896295136, 93887942416, 186810624007], 'label': '79833600.d.1980._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956982
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [1946896, 167903, 817943, 4037880, 87670035487, 6616, 7, 1456, 16, 482630400, 40440], 'label': '79833600.d.1980._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956983
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '2310.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': 2310, 'diagramx': None, 'generators': [12972960007, 167903, 13412044823, 39917543, 6746348303, 1447, 18681471496, 6746302096, 7, 16, 126007], 'label': '79833600.d.2310.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2310.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2310.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956984
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2520, 'diagramx': None, 'generators': [25441693320, 318703034160, 38051723527, 16, 258734903, 7, 832165252567, 211721047], 'label': '79833600.d.2520._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2520.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956985
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2520, 'diagramx': None, 'generators': [664035685927, 132184823, 7, 891589310640, 16, 580087025287, 25635783607, 724778411183, 45487583], 'label': '79833600.d.2520._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2520.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956986
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [262029973080, 181062604800, 274467916800, 186810624000, 262021132800], 'label': '79833600.d.2640._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2640.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2640._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956987
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '55.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': 55, 'diagramx': None, 'generators': [863, 1496880, 126000, 87657292823, 22181760, 5783, 522956280, 87909120, 14560560, 43955416, 7, 16], 'label': '79833600.d.55.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956988
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [817927, 15240, 6706022407, 6230649616, 4037887, 7, 1265047, 1440, 136080], 'label': '79833600.d.2640._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2640.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2640._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956989
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [23, 15240, 817943, 6230649616, 1265063, 4037903, 6706022423, 1440, 136080], 'label': '79833600.d.2640._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2640.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2640._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956990
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [23, 15240, 817943, 1265063, 4037903, 6230649600, 6706022423, 1440, 136080], 'label': '79833600.d.2640._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2640.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2640._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956991
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [817936, 136096, 6706022400, 15256, 6230649616, 4037880, 1265056, 16, 1440], 'label': '79833600.d.2640._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2640.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2640._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59956992
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [817927, 15240, 6706022407, 4037887, 6230649600, 7, 1265047, 1440, 136080], 'label': '79833600.d.2640._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2640.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2640._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957015
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [482630423, 863, 23, 1860503, 56280, 4037903, 1613640, 15863, 363000, 87659228183], 'label': '79833600.d.3960._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957016
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [16, 87664550407, 274467916816, 87680649727, 186810624007], 'label': '79833600.d.3960._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957017
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [863, 23, 1860503, 56280, 4037903, 1613640, 15863, 363000, 482630407, 87659228183], 'label': '79833600.d.3960._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957018
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [87664550400, 87680649720, 23, 274467916816, 186810624007], 'label': '79833600.d.3960._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957019
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [56280, 4037887, 87659228167, 1860487, 1613640, 847, 7, 15847, 482630407, 363000], 'label': '79833600.d.3960._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957020
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [1463, 23, 87657292823, 522956280, 56880, 5160, 903720, 15840, 127440, 283087440, 3669120], 'label': '79833600.d.110._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957021
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [87664550416, 7, 274467916816, 87680649736, 186810624007], 'label': '79833600.d.3960._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957022
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93887942423, 186810624000, 274467916816, 93907539503], 'label': '79833600.d.3960._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957023
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 93887942407, 93907539487, 274467916816], 'label': '79833600.d.3960._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957024
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93907539480, 186810624000, 274467916816, 93887942400], 'label': '79833600.d.3960._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957025
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 274467916816, 93907539496, 93887942416], 'label': '79833600.d.3960._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957026
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274467916800, 186810624000, 93907539496, 93887942416], 'label': '79833600.d.3960._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957027
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274467916800, 93907539480, 186810624000, 93887942400], 'label': '79833600.d.3960._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957028
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274467916800, 186810624000, 93887942407, 93907539487], 'label': '79833600.d.3960._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957029
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274467916800, 93887942423, 186810624000, 93907539503], 'label': '79833600.d.3960._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957030
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93887942423, 186810624000, 274467916807, 93907539503], 'label': '79833600.d.3960._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957031
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [1463, 23, 522956280, 56880, 5160, 903720, 87657292807, 15840, 127440, 283087440, 3669120], 'label': '79833600.d.110._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957032
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 93887942407, 93907539487, 274467916807], 'label': '79833600.d.3960._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957033
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93907539480, 186810624000, 93887942400, 274467916807], 'label': '79833600.d.3960._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957034
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 93907539496, 274467916807, 93887942416], 'label': '79833600.d.3960._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957035
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 274467916823, 93907539496, 93887942416], 'label': '79833600.d.3960._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957036
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93907539480, 186810624000, 93887942400, 274467916823], 'label': '79833600.d.3960._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957037
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 93887942407, 93907539487, 274467916823], 'label': '79833600.d.3960._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957038
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93887942423, 186810624000, 274467916823, 93907539503], 'label': '79833600.d.3960._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957039
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 16, 93887942407, 93907539503], 'label': '79833600.d.3960._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957040
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 16, 93887942400, 93907539496], 'label': '79833600.d.3960._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957041
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [23, 93887942423, 186810624023, 93907539503], 'label': '79833600.d.3960._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957042
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [1447, 87657292823, 3669120, 522956280, 7, 15840, 56880, 5160, 127440, 903720, 283087440], 'label': '79833600.d.110._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957043
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [23, 93887942407, 93907539487, 186810624023], 'label': '79833600.d.3960._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957044
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93887942407, 93907539487, 7, 186810624007], 'label': '79833600.d.3960._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957045
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93887942423, 7, 93907539503, 186810624007], 'label': '79833600.d.3960._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957046
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [1613640, 4037887, 56280, 847, 363000, 482630423, 7, 1860487, 15847, 87659228183], 'label': '79833600.d.3960._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957047
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [16, 87178654096, 7, 87182727263], 'label': '79833600.d.3960._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957048
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [56280, 4037880, 1860496, 87659228167, 1613640, 15840, 856, 363016, 16, 482630407], 'label': '79833600.d.3960._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957049
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [1613640, 15863, 56280, 23, 482630407, 363000, 4037903, 87659228167, 1860503, 863], 'label': '79833600.d.3960._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3960.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3960._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957050
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [6746302087, 39917543, 6746348303, 19640926223, 167056, 959460496, 18681471487, 13412044816, 12972960016, 16, 1440], 'label': '79833600.d.4620._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4620.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4620._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957051
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [18681471480, 19640926216, 39917536, 6746348296, 167056, 959460496, 13412044816, 12972960016, 16, 6746302080, 1440], 'label': '79833600.d.4620._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4620.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4620._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957052
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [167040, 959460503, 1440, 19640926223, 13412044800, 6746302103, 18681471503, 12972960000, 23, 39917543, 6746348303], 'label': '79833600.d.4620._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4620.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4620._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957053
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [1447, 3669120, 522956280, 7, 87657292807, 15840, 56880, 5160, 127440, 903720, 283087440], 'label': '79833600.d.110._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957054
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [167040, 18681471487, 959460503, 1440, 6746348287, 13412044800, 39917527, 12972960000, 23, 6746302087, 19640926207], 'label': '79833600.d.4620._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4620.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4620._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957055
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [18681471503, 6746302103, 39917543, 6746348303, 19640926223, 959460487, 12972960000, 167040, 7, 13412044800, 1440], 'label': '79833600.d.4620._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4620.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4620._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957056
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [6746302087, 959460487, 19640926207, 18681471487, 12972960000, 167040, 7, 39917527, 13412044800, 6746348287, 1440], 'label': '79833600.d.4620._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4620.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4620._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957057
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [174375897136, 181062604823, 16, 7, 93423870023, 274467916823, 186810624007], 'label': '79833600.d.4620._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4620.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4620._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957058
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87699196816, 16, 7, 479410696, 518918423, 479364487], 'label': '79833600.d.4620._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4620.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4620._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957059
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [6616, 1498343, 489623, 16, 19201932136, 7, 1175176, 100590705496], 'label': '79833600.d.4620._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4620.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4620._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957060
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '4950.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': 4950, 'diagramx': None, 'generators': [93405312000, 139764960, 16, 7, 119760623, 139725376, 251894896, 298746840], 'label': '79833600.d.4950.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4950.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4950.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957061
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2520, 'diagramx': None, 'generators': [829207013040, 832165252560, 318703034176, 31893654240, 13154814720, 279514216, 258734880, 16, 456267653280], 'label': '79833600.d.5040._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5040.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957062
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2520, 'diagramx': None, 'generators': [23, 829207013040, 832165252560, 31893654240, 13154814720, 258734903, 279514200, 456267653303, 318703034183], 'label': '79833600.d.5040._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5040.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957063
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2520, 'diagramx': None, 'generators': [829207013040, 832165252560, 31893654240, 258734887, 456267653287, 13154814720, 279514200, 7, 318703034167], 'label': '79833600.d.5040._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5040.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957064
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [1451527, 962041096, 5767, 5489407, 161280, 522956280, 847, 7, 16, 239500800], 'label': '79833600.d.110._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957065
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2520, 'diagramx': None, 'generators': [891589310640, 664035685920, 16, 132184800, 530935298656, 37933348456, 19453997536, 179308216], 'label': '79833600.d.5040._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5040.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957066
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2520, 'diagramx': None, 'generators': [891589310640, 23, 664035685920, 179308223, 530935298640, 19453997543, 132184800, 37933348440], 'label': '79833600.d.5040._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5040.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957067
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2520, 'diagramx': None, 'generators': [891589310640, 664035685920, 179308207, 530935298640, 132184800, 7, 19453997527, 37933348440], 'label': '79833600.d.5040._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5040.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957068
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [1440, 4037880, 6230649607, 136080, 5160, 6706022400, 1829520, 1451520], 'label': '79833600.d.5280._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5280._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957069
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [1440, 4037880, 136080, 5160, 6706022400, 6230649623, 1829520, 1451520], 'label': '79833600.d.5280._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5280.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5280._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957070
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [6230649616, 1440, 4037880, 136080, 5160, 6706022400, 1829520, 1451520], 'label': '79833600.d.5280._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5280.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5280._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957071
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [1440, 6230649600, 4037880, 136080, 5160, 6706022400, 1829520, 1451520], 'label': '79833600.d.5280._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5280.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5280._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957072
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [93405312016, 123782416, 16, 40803976], 'label': '79833600.d.5280._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5280.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5280._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957073
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [23, 93405312000, 40803983, 123782423], 'label': '79833600.d.5280._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5280.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5280._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957074
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [93405312000, 40803967, 7, 123782407], 'label': '79833600.d.5280._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5280.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5280._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957075
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '165.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': 165, 'diagramx': None, 'generators': [218453760, 1447, 243538696, 56280, 120113287, 7, 6607, 16, 93405312023, 10927, 279826680, 87218208000, 22181767, 87222245896], 'label': '79833600.d.165.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '165.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '165.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957076
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [83463120, 39976675207, 43545600, 83468280, 6749568000, 961632120, 46200, 840, 3628920], 'label': '79833600.d.5544._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957077
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [83463120, 43545600, 39976675223, 83468280, 6749568000, 961632120, 46200, 840, 3628920], 'label': '79833600.d.5544._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957078
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [83463120, 43545600, 39976675216, 83468280, 6749568000, 961632120, 46200, 840, 3628920], 'label': '79833600.d.5544._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957079
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [39976675200, 83463120, 43545600, 83468280, 6749568000, 961632120, 46200, 840, 3628920], 'label': '79833600.d.5544._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957080
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [274988085263, 16, 7, 268721763263], 'label': '79833600.d.5544._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957081
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [16, 997925047, 99672668040], 'label': '79833600.d.5544._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957082
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [997925040, 16, 99672668040], 'label': '79833600.d.5544._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957083
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [99672668063, 23, 997925047], 'label': '79833600.d.5544._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957084
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [99672668063, 23, 997925063], 'label': '79833600.d.5544._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957085
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [99672668047, 7, 997925047], 'label': '79833600.d.5544._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957086
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [863, 23, 863280, 93405312023, 10920, 522956280, 87240, 18507720, 163786320, 19247973143, 243665280], 'label': '79833600.d.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: 59957087
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [167040, 22308600, 19676280, 87909120, 1860480, 87657292800, 18190080, 840, 522956280, 43955400, 1134720, 5760, 7620600], 'label': '79833600.d.220._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957088
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [99672668047, 7, 997925063], 'label': '79833600.d.5544._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957089
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [40296376, 7, 174877412400], 'label': '79833600.d.5544._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957090
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292800, 273990453840, 7, 13412785807, 261574790407], 'label': '79833600.d.5544._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957091
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [6268520887, 361167978983, 16, 7], 'label': '79833600.d.5544._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957092
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [281175164647, 87657292816, 16, 7, 261574790407, 847463], 'label': '79833600.d.5544._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957093
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292816, 16, 273990453856, 261574790400, 13412785800], 'label': '79833600.d.5544._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957094
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292816, 16, 273990453863, 261574790400, 13412785800], 'label': '79833600.d.5544._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957098
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [167040, 22308600, 19676280, 87909120, 1860480, 18190080, 840, 522956280, 43955400, 1134720, 87657292816, 5760, 7620600], 'label': '79833600.d.220._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957099
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [174877412416, 40296367, 16], 'label': '79833600.d.5544._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957100
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [40296360, 23, 174877412400], 'label': '79833600.d.5544._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957101
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [23, 40296376, 174877412400], 'label': '79833600.d.5544._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957102
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [40296360, 7, 174877412400], 'label': '79833600.d.5544._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957103
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292800, 7, 273990453856, 13412785807, 261574790407], 'label': '79833600.d.5544._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5544.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5544._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957104
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '5775.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': 5775, 'diagramx': None, 'generators': [165191896, 87178376896, 86423, 284221567, 18638640, 163336343, 7621207, 7, 83548080, 16, 87240757680, 93405312007], 'label': '79833600.d.5775.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5775.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5775.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957105
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [16, 1001548800, 7, 46207, 1037836823, 88136416207, 522587520], 'label': '79833600.d.6930._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6930.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6930._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957106
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [93888033143, 274467916800, 16, 7, 87664676407, 186810624023], 'label': '79833600.d.6930._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6930.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6930._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957107
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [378840, 363607, 16, 1210440, 7, 280256741400, 1219687, 355461009127], 'label': '79833600.d.6930._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6930.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6930._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957108
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [186814615680, 87673392120, 274467916800, 186810624000], 'label': '79833600.d.7920._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957109
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [167040, 22308600, 19676280, 87909120, 1860480, 87657292823, 18190080, 840, 522956280, 43955400, 1134720, 5760, 7620600], 'label': '79833600.d.220._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957110
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [40089720, 16, 7, 163658896], 'label': '79833600.d.7920._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957111
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [87240, 4037880, 419880, 87200588183, 482630423, 11520, 16680, 817920, 840], 'label': '79833600.d.7920._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957112
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [482630416, 87240, 4037880, 419880, 11520, 16680, 817920, 840, 87200588176], 'label': '79833600.d.7920._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957113
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [87240, 482630407, 4037880, 419880, 87200588167, 11520, 16680, 817920, 840], 'label': '79833600.d.7920._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957114
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274484016136, 3991696, 274467916800, 16], 'label': '79833600.d.7920._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957115
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [3991696, 16, 274467916807, 274484016143], 'label': '79833600.d.7920._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957116
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [23, 274467916800, 274484016120, 3991703], 'label': '79833600.d.7920._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957117
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274484016136, 23, 274467916816, 3991703], 'label': '79833600.d.7920._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957118
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274467916800, 3991687, 274484016120, 7], 'label': '79833600.d.7920._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957119
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274484016136, 3991687, 7, 274467916816], 'label': '79833600.d.7920._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957120
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [167040, 22308600, 19676280, 87909120, 1860480, 18190080, 840, 522956280, 87657292807, 43955400, 1134720, 5760, 7620600], 'label': '79833600.d.220._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957121
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [87240, 4037880, 419880, 482630400, 11520, 16680, 817920, 840, 87200588160], 'label': '79833600.d.7920._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957122
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [87673392120, 186814615696, 274467916816, 186810624016], 'label': '79833600.d.7920._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957123
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [87673392120, 186814615703, 274467916823, 186810624023], 'label': '79833600.d.7920._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957124
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [87673392120, 186814615687, 274467916807, 186810624007], 'label': '79833600.d.7920._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957125
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 93887942416, 93900322096], 'label': '79833600.d.7920._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957126
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 93900322080, 93887942400], 'label': '79833600.d.7920._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957127
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 93887942407, 93900322087], 'label': '79833600.d.7920._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957128
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93900322103, 93887942423, 186810624000], 'label': '79833600.d.7920._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957129
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [482630416, 87240, 4037880, 419880, 87200588167, 11520, 16680, 817920, 840], 'label': '79833600.d.7920._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957130
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87240, 4037880, 419880, 482630400, 87200588167, 11520, 16680, 817920, 840], 'label': '79833600.d.7920._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957131
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [10936, 10096, 962041080, 16, 162720, 522956296, 771960, 840, 279417736, 3991680], 'label': '79833600.d.220._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957132
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [482630416, 87240, 4037880, 419880, 11520, 16680, 817920, 840, 87200588160], 'label': '79833600.d.7920._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957133
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87240, 4037880, 419880, 87200588183, 482630400, 11520, 16680, 817920, 840], 'label': '79833600.d.7920._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957134
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [16, 87341669280, 87178331536], 'label': '79833600.d.7920._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957135
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87178331543, 16, 87341669287], 'label': '79833600.d.7920._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957136
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87178331543, 23, 87341669280], 'label': '79833600.d.7920._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957137
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87178331527, 23, 87341669296], 'label': '79833600.d.7920._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957138
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87673392136, 186814615687, 274467916823, 186810624007], 'label': '79833600.d.7920._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957139
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87178331527, 7, 87341669280], 'label': '79833600.d.7920._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957141
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [482630416, 87240, 4037880, 419880, 87200588183, 11520, 16680, 817920, 840], 'label': '79833600.d.7920._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957142
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [23, 522956280, 279417720, 162720, 10920, 771960, 962041103, 863, 10103, 3991680], 'label': '79833600.d.220._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957143
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87240, 482630407, 4037880, 419880, 87200588183, 11520, 16680, 817920, 840], 'label': '79833600.d.7920._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7920.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7920._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957144
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [1440, 12495093256, 6746348296, 6268757880, 40083976, 13412044800, 167040, 12972960000, 6746302096, 18681471496], 'label': '79833600.d.9240._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957145
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [18681471480, 12495093240, 40083960, 6268757880, 12972960000, 167040, 6746348280, 13412044800, 6746302080, 1440], 'label': '79833600.d.9240._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957146
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [6746302087, 12495093247, 18681471487, 12972960000, 6268757880, 167040, 13412044800, 6746348287, 1440, 40083967], 'label': '79833600.d.9240._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957147
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [18681471503, 6746302103, 6746348303, 40083983, 6268757880, 12972960000, 167040, 13412044800, 12495093263, 1440], 'label': '79833600.d.9240._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957148
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [16, 274467916816, 186810624016, 93406849936, 93417776656, 181062604816], 'label': '79833600.d.9240._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957149
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [181062604800, 23, 274467916800, 186810624000, 93406849920, 93417776663], 'label': '79833600.d.9240._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957150
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [181062604800, 274467916800, 186810624000, 7, 93417776647, 93406849920], 'label': '79833600.d.9240._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957151
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [355459189696, 262493370840, 494776, 1574040, 1624320, 7, 817920], 'label': '79833600.d.9240._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957152
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 87697582560, 479364496, 479410696, 518918423], 'label': '79833600.d.9240._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957153
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [962041087, 847, 522956280, 279417720, 162720, 10920, 7, 10087, 771960, 3991680], 'label': '79833600.d.220._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957154
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364480, 23, 87697582560, 479410680, 518918423], 'label': '79833600.d.9240._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957155
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87697582576, 479364480, 23, 479410680, 518918423], 'label': '79833600.d.9240._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957156
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87697582576, 23, 479364496, 479410696, 518918423], 'label': '79833600.d.9240._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957157
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87697582560, 7, 479364496, 479410696, 518918407], 'label': '79833600.d.9240._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957158
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364480, 87697582560, 7, 479410680, 518918407], 'label': '79833600.d.9240._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957159
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87697582576, 479364480, 7, 479410680, 518918407], 'label': '79833600.d.9240._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957160
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87697582576, 7, 479364496, 479410696, 518918407], 'label': '79833600.d.9240._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957161
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 16, 7, 15009143, 258548423, 87179057296], 'label': '79833600.d.9240._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957162
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [1583287, 93405312000, 16, 7, 279820920], 'label': '79833600.d.9240._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957163
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 16, 7, 1940536, 87179556383], 'label': '79833600.d.9240._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957164
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [14924176, 87222245896, 7666576, 18553096, 6600, 87218208000, 93405312000, 15856, 16, 46200, 62098696, 11295496, 1440], 'label': '79833600.d.330._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957165
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [771120, 41050807, 93405312000, 16, 7, 262016056, 87179057296], 'label': '79833600.d.9240._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957166
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87697582560, 16, 518918400, 479364496, 479410696], 'label': '79833600.d.9240._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957167
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364503, 87697582560, 16, 518918400, 479410703], 'label': '79833600.d.9240._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957168
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364503, 87697582567, 16, 518918400, 479410703], 'label': '79833600.d.9240._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957169
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [817936, 494760, 520093567, 1574040, 7, 16, 1624320, 193077969967], 'label': '79833600.d.9240._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957170
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [817936, 1574040, 16, 1624320, 7, 355459513080, 262493370856], 'label': '79833600.d.9240._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957171
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [355459189696, 817936, 1574040, 16, 1624320, 262493370856, 494760], 'label': '79833600.d.9240._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957172
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [355459189703, 817936, 494767, 262493370856, 1574040, 16, 1624320], 'label': '79833600.d.9240._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957173
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [355459189703, 817936, 494760, 262493370863, 1574040, 16, 1624320], 'label': '79833600.d.9240._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957174
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [355459189696, 262493370863, 817936, 1574040, 16, 1624320, 494767], 'label': '79833600.d.9240._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957175
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [87222245903, 14924176, 7666576, 18553096, 87218208007, 6600, 93405312000, 15856, 16, 46200, 62098696, 11295496, 1440], 'label': '79833600.d.330._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957176
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [355459189696, 23, 1574040, 1624320, 262493370856, 494760, 817920], 'label': '79833600.d.9240._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957177
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 494776, 1574040, 1624320, 262493370856, 817920, 355459189680], 'label': '79833600.d.9240._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957178
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 262493370840, 1574040, 1624320, 494760, 817920, 355459189680], 'label': '79833600.d.9240._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957179
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [355459189696, 23, 262493370840, 494776, 1574040, 1624320, 817920], 'label': '79833600.d.9240._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957182
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [262493370840, 1574040, 1624320, 7, 494760, 817920, 355459189680], 'label': '79833600.d.9240._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957183
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87697582567, 16, 518918400, 479364496, 479410696], 'label': '79833600.d.9240._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9240.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9240._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957184
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4950, 'diagramx': None, 'generators': [93405312016, 218988720, 258829936, 16, 60036616, 287175000, 219350880], 'label': '79833600.d.9900._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9900.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9900._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957185
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4950, 'diagramx': None, 'generators': [23, 219350903, 60036600, 258829943, 218988743, 93405312023, 287175023], 'label': '79833600.d.9900._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9900.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9900._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957186
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [1440, 87218208016, 7666583, 6623, 62098703, 46223, 23, 93405312023, 18553103, 15863, 11295480, 87222245896, 14924160], 'label': '79833600.d.330._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957187
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4950, 'diagramx': None, 'generators': [219350887, 287175007, 93405312007, 60036600, 258829927, 7, 218988727], 'label': '79833600.d.9900._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9900.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9900._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957188
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9900, 'diagramx': None, 'generators': [274467916800, 16, 12472685423, 7, 87666370703, 181062604816, 186810624007], 'label': '79833600.d.9900._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9900.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9900._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957189
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2520, 'diagramx': None, 'generators': [318703034160, 45487560, 19342730280, 44108190120, 211721040, 832165252560, 50594716800], 'label': '79833600.d.10080._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10080.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957190
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2520, 'diagramx': None, 'generators': [891589310640, 25490153520, 664035685920, 132184800, 211721040, 44076509400], 'label': '79833600.d.10080._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10080.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957191
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '10395.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': 10395, 'diagramx': None, 'generators': [13412044823, 19678982407, 13499953936, 7, 16, 19726974840], 'label': '79833600.d.10395.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10395.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10395.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957192
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '10560.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': 1320, 'diagramx': None, 'generators': [93405312000, 40683720, 14560560], 'label': '79833600.d.10560.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10560.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10560.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957193
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [105860568960, 19199981527], 'label': '79833600.d.11088._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957194
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [16, 187770088816, 281174706016], 'label': '79833600.d.11088._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957195
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [23, 187770088800, 281174706023], 'label': '79833600.d.11088._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957196
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [187770088800, 7, 281174706007], 'label': '79833600.d.11088._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957197
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [93405312016, 863296, 522956296, 18507736, 10920, 87256, 19247973136, 163786320, 16, 243665296, 840], 'label': '79833600.d.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: 59957198
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [1440, 7666583, 6623, 87222245880, 62098703, 46223, 23, 93405312023, 18553103, 15863, 11295480, 87218208000, 14924160], 'label': '79833600.d.330._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957199
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [105860568960, 19199981520], 'label': '79833600.d.11088._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957200
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [19199981536, 105860568960], 'label': '79833600.d.11088._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957201
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [105860568960, 19199981543], 'label': '79833600.d.11088._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957202
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292823, 1508400, 7, 6268753583, 280734854407], 'label': '79833600.d.11088._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957203
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292800, 1508400, 16, 280734854400, 6268753560], 'label': '79833600.d.11088._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957204
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [6268753567, 23, 1508400, 280734854423, 87657292807], 'label': '79833600.d.11088._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957205
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292823, 23, 1508400, 280734854423, 6268753583], 'label': '79833600.d.11088._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957206
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [6268753567, 1508400, 87657292807, 7, 280734854407], 'label': '79833600.d.11088._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957207
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [1508400, 16, 7, 99674065583, 280734854407], 'label': '79833600.d.11088._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957208
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292800, 368392323720, 187291123216, 280734854400], 'label': '79833600.d.11088._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957209
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [87218208016, 62098687, 18553087, 87222245896, 7666567, 6607, 7, 14924160, 15847, 11295480, 46207, 1440, 93405312007], 'label': '79833600.d.330._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957210
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [187291123200, 87657292800, 368392323720, 280734854400], 'label': '79833600.d.11088._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957211
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292800, 368392323720, 187291123207, 280734854400], 'label': '79833600.d.11088._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957212
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292800, 187291123223, 368392323720, 280734854400], 'label': '79833600.d.11088._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957213
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [355459472056, 194036347440], 'label': '79833600.d.11088._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957214
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [194036347440, 355459472040], 'label': '79833600.d.11088._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957215
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [355459472047, 194036347440], 'label': '79833600.d.11088._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957216
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [355459472063, 194036347440], 'label': '79833600.d.11088._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957217
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [361686931200, 367874132520, 16], 'label': '79833600.d.11088._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957218
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [23, 361686931223, 367874132520], 'label': '79833600.d.11088._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957219
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [367874132520, 7, 361686931207], 'label': '79833600.d.11088._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957220
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [87222245880, 62098687, 18553087, 7666567, 87218208000, 6607, 7, 14924160, 15847, 11295480, 46207, 1440, 93405312007], 'label': '79833600.d.330._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957221
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [6268753567, 1508400, 16, 87657292807, 280734854400], 'label': '79833600.d.11088._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11088.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11088._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957222
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3755543, 87178296263, 283460543, 163700783, 18512663, 18915847, 7, 6616, 16, 7625543, 93405312000], 'label': '79833600.d.11550._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957223
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [6616, 87260026463, 93405312000, 16, 7, 18512663, 283460543, 18915847, 7625543, 163700783, 3755543], 'label': '79833600.d.11550._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957224
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [63142703, 83462543, 245036167, 1502663, 14963767, 84960007, 93405312000, 7, 16, 7625543, 80640], 'label': '79833600.d.11550._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957225
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3755536, 87178296263, 163700776, 283460536, 18512656, 7625536, 87260026463, 6616, 93405312000, 16, 18915840], 'label': '79833600.d.11550._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957226
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3755536, 163700776, 283460536, 87178296256, 18512656, 7625536, 87260026463, 6616, 93405312000, 16, 18915840], 'label': '79833600.d.11550._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957227
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3755536, 87260026456, 163700776, 283460536, 87178296256, 18512656, 7625536, 6616, 93405312000, 16, 18915840], 'label': '79833600.d.11550._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957228
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3755536, 87178296263, 87260026456, 163700776, 283460536, 18512656, 7625536, 6616, 93405312000, 16, 18915840], 'label': '79833600.d.11550._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957229
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [87178296263, 23, 3755543, 6600, 87260026463, 163700783, 93405312000, 283460543, 7625543, 18512663, 18915863], 'label': '79833600.d.11550._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957230
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [23, 3755543, 87178296247, 6600, 87260026463, 163700783, 93405312000, 283460543, 7625543, 18512663, 18915863], 'label': '79833600.d.11550._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957231
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [247299143, 93405312007, 16, 7, 84556800], 'label': '79833600.d.330._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957232
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [23, 3755543, 87178296247, 6600, 87260026447, 163700783, 93405312000, 283460543, 7625543, 18512663, 18915863], 'label': '79833600.d.11550._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957233
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [87178296263, 23, 3755543, 6600, 87260026447, 163700783, 93405312000, 283460543, 7625543, 18512663, 18915863], 'label': '79833600.d.11550._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957234
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [87178296263, 163700767, 18512647, 18915847, 283460527, 6600, 87260026463, 93405312000, 7625527, 7, 3755527], 'label': '79833600.d.11550._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957235
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [163700767, 18512647, 18915847, 283460527, 87178296247, 6600, 87260026463, 93405312000, 7625527, 7, 3755527], 'label': '79833600.d.11550._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957236
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [163700767, 18512647, 18915847, 283460527, 87178296247, 6600, 87260026447, 93405312000, 7625527, 7, 3755527], 'label': '79833600.d.11550._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957237
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [87178296263, 163700767, 18512647, 18915847, 283460527, 6600, 87260026447, 93405312000, 7625527, 7, 3755527], 'label': '79833600.d.11550._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11550.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11550._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957238
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '13200.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': 13200, 'diagramx': None, 'generators': [16, 2882048407, 7, 124961880], 'label': '79833600.d.13200.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13200.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957239
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [16, 7, 274486510096, 274486803143, 274467916807, 186810624023], 'label': '79833600.d.13860._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957240
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [46216, 16, 522587536, 1037836816, 1001548816, 87657383536], 'label': '79833600.d.13860._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957241
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [87657383543, 46216, 16, 1037836816, 522587543, 1001548816], 'label': '79833600.d.13860._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957242
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [1440, 479012400, 7, 480861367, 4037896, 16, 93887942400, 181062604800, 11527, 5167, 186810624016], 'label': '79833600.d.330._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '330.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '330._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957243
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [87657383543, 46216, 16, 522587536, 1037836816, 1001548816], 'label': '79833600.d.13860._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957244
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 1001548823, 522587536, 1037836823, 87657383536, 46223], 'label': '79833600.d.13860._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957245
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 1001548823, 1037836823, 87657383536, 522587520, 46223], 'label': '79833600.d.13860._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957246
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 1001548823, 1037836823, 522587520, 46223, 87657383520], 'label': '79833600.d.13860._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957247
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 1001548823, 522587536, 1037836823, 46223, 87657383520], 'label': '79833600.d.13860._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957248
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836807, 522587536, 7, 46207, 1001548807, 87657383536], 'label': '79833600.d.13860._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957249
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836807, 7, 46207, 1001548807, 87657383536, 522587520], 'label': '79833600.d.13860._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957250
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836807, 7, 46207, 1001548807, 522587520, 87657383520], 'label': '79833600.d.13860._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957251
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836807, 522587536, 7, 46207, 1001548807, 87657383520], 'label': '79833600.d.13860._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957252
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [16, 7, 87429813120, 87178292760, 88548487], 'label': '79833600.d.13860._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957253
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '440.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': 55, 'diagramx': None, 'generators': [137520, 1440, 21772800, 79833600, 522956280, 161280, 962041080, 1855560, 10920, 540720], 'label': '79833600.d.440.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957254
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604807, 16, 274468044263, 7, 274473537960, 274467916807, 186810624023], 'label': '79833600.d.13860._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957255
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604807, 12945058567, 16, 93887942407, 7, 274467916807, 186810624023], 'label': '79833600.d.13860._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957256
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [274468279807, 181062604807, 7787647, 16, 7, 12933048240, 274467916807, 186810624023], 'label': '79833600.d.13860._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957257
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [46216, 16, 1037836816, 522587543, 1001548816, 87657383536], 'label': '79833600.d.13860._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957258
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [93888038303, 16, 186810624016, 274467916807, 274472318287], 'label': '79833600.d.13860._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957259
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [93888038303, 274467916800, 16, 274472318280, 186810624016], 'label': '79833600.d.13860._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957260
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [93888038296, 274467916800, 16, 274472318280, 186810624016], 'label': '79833600.d.13860._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957264
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '462.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': 462, 'diagramx': None, 'generators': [87178700280, 87178654080, 518919240, 840, 39917536, 7, 6706022407, 40044367, 16, 19200147976, 93924230423, 174875500800], 'label': '79833600.d.462.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '462.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '462.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957265
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 274472318303, 93888038287, 274467916823, 186810624023], 'label': '79833600.d.13860._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957266
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 93888038287, 274467916807, 186810624023, 274472318287], 'label': '79833600.d.13860._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957267
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [93888038303, 7, 274467916807, 274472318287, 186810624007], 'label': '79833600.d.13860._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957268
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [93888038303, 274472318303, 7, 274467916823, 186810624007], 'label': '79833600.d.13860._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957269
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [274472318303, 7, 93888038287, 274467916823, 186810624007], 'label': '79833600.d.13860._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957270
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [7, 93888038287, 274467916807, 274472318287, 186810624007], 'label': '79833600.d.13860._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957271
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [4401480, 93888038303, 16, 7, 186810624023], 'label': '79833600.d.13860._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957272
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [19201166767, 367913150663, 16, 5167, 363016, 7, 1980736], 'label': '79833600.d.13860._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957273
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [88177029143, 1980736, 268282430783, 5167, 7, 16, 363016, 11520], 'label': '79833600.d.13860._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957274
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [19201973183, 367913162167, 16, 5167, 363016, 7, 1980736], 'label': '79833600.d.13860._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957275
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '495.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': 495, 'diagramx': None, 'generators': [6266937600, 6270975496, 10096, 16, 18553080, 7, 62052496, 126840, 15240, 863, 45360], 'label': '79833600.d.495.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '495.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '495.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957276
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1980736, 5160, 367913162167, 363016, 16, 11520, 19201973183], 'label': '79833600.d.13860._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957277
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [367913162160, 16, 19201973176, 5160, 363016, 11520, 1980736], 'label': '79833600.d.13860._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957278
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [367913162160, 16, 19201973176, 11527, 5160, 363016, 1980736], 'label': '79833600.d.13860._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957279
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1980736, 5160, 367913162167, 363016, 16, 19201973183, 11527], 'label': '79833600.d.13860._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957280
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [367913162167, 23, 363000, 11520, 1980720, 5183, 19201973167], 'label': '79833600.d.13860._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957281
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 367913162183, 1980720, 11520, 5183, 19201973183, 363000], 'label': '79833600.d.13860._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957282
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 367913162183, 1980720, 5183, 19201973183, 11536, 363000], 'label': '79833600.d.13860._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957283
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 1980720, 367913162167, 19201973167, 5183, 11536, 363000], 'label': '79833600.d.13860._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957284
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [367913162167, 363000, 5167, 7, 11520, 1980720, 19201973167], 'label': '79833600.d.13860._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957285
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [19201973183, 367913162183, 363000, 5167, 7, 11520, 1980720], 'label': '79833600.d.13860._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957286
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [120113280, 1440, 163705080, 87218208023, 6600, 199993080, 172800, 45360, 11520, 87222245903, 279826680, 93405312000, 15000480, 11386800], 'label': '79833600.d.660._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957287
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [19201973183, 11536, 367913162183, 363000, 5167, 7, 1980720], 'label': '79833600.d.13860._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957288
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [367913162167, 11536, 363000, 5167, 7, 1980720, 19201973167], 'label': '79833600.d.13860._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957289
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [93888038303, 181062604807, 16, 180588124223, 7, 274467916807, 186810624023], 'label': '79833600.d.13860._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13860.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13860._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957290
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '14850.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': 4950, 'diagramx': None, 'generators': [87102720, 44432656, 127024576, 127387576, 7, 16, 262897936], 'label': '79833600.d.14850.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14850.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14850.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957291
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '15400.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': 15400, 'diagramx': None, 'generators': [1568866336, 16, 2046643223, 7, 90832857143, 518918416, 403223], 'label': '79833600.d.15400.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15400.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957292
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [16, 41062320, 243538680], 'label': '79833600.d.15840._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957293
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [23, 41062320, 243538703], 'label': '79833600.d.15840._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957294
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [243538687, 41062320, 7], 'label': '79833600.d.15840._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957295
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [8000040, 14560560, 274467916807], 'label': '79833600.d.15840._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957296
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [8000040, 274467916816, 14560560], 'label': '79833600.d.15840._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957297
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [120113280, 1440, 163705080, 87218208007, 6600, 199993080, 87222245887, 172800, 45360, 11520, 279826680, 93405312000, 15000480, 11386800], 'label': '79833600.d.660._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957298
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [8000040, 14560560, 274467916823], 'label': '79833600.d.15840._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957299
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274467916800, 8000040, 14560560], 'label': '79833600.d.15840._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957300
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87178291343, 87422521103], 'label': '79833600.d.15840._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957301
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87178291327, 87422521087], 'label': '79833600.d.15840._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957302
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87422521080, 87178291320], 'label': '79833600.d.15840._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957303
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1980, 'diagramx': None, 'generators': [87178291336, 87422521096], 'label': '79833600.d.15840._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957304
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [355459266000, 132616, 16, 7, 88136381543, 167880], 'label': '79833600.d.16632._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16632.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16632._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957306
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [291811800, 175351800, 18955440, 7, 766800, 16, 142618456, 93405312023, 87179425216, 8351296, 1139047], 'label': '79833600.d.17325._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '17325.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '17325._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957307
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [243549376, 15286320, 283466296, 448583, 243533520, 7, 16, 164465280, 87241811767, 87179425216, 8351296], 'label': '79833600.d.17325._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '17325.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '17325._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957308
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [19247973127, 863280, 10920, 522956280, 87240, 18507720, 163786320, 847, 7, 243665280, 93405312007], 'label': '79833600.d.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: 59957309
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [120113280, 1440, 163705080, 6600, 199993080, 87222245880, 172800, 45360, 11520, 279826680, 93405312000, 87218208000, 15000480, 11386800], 'label': '79833600.d.660._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957310
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [181062604800, 274467916800, 186810624000, 1498320, 16143840], 'label': '79833600.d.18480._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957311
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364480, 88137510503, 518918400, 479410680], 'label': '79833600.d.18480._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957312
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364503, 88137510503, 518918400, 479410703], 'label': '79833600.d.18480._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957313
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479410687, 88137510503, 518918400, 479364487], 'label': '79833600.d.18480._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957314
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479410687, 518918400, 479364487, 88137510487], 'label': '79833600.d.18480._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957315
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364503, 518918400, 479410703, 88137510487], 'label': '79833600.d.18480._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957316
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [518918400, 479364496, 479410696, 88137510487], 'label': '79833600.d.18480._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957317
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364480, 518918400, 479410680, 88137510487], 'label': '79833600.d.18480._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957318
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364480, 518918400, 479410680, 88137510480], 'label': '79833600.d.18480._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957319
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [518918400, 479364496, 479410696, 88137510480], 'label': '79833600.d.18480._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957320
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [120113280, 1440, 163705080, 87218208016, 6600, 199993080, 172800, 45360, 11520, 279826680, 93405312000, 15000480, 11386800, 87222245896], 'label': '79833600.d.660._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957321
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364503, 518918400, 479410703, 88137510480], 'label': '79833600.d.18480._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957322
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479410687, 518918400, 479364487, 88137510480], 'label': '79833600.d.18480._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957323
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479410687, 518918400, 88137510496, 479364487], 'label': '79833600.d.18480._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957324
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364503, 518918400, 88137510496, 479410703], 'label': '79833600.d.18480._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957325
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [518918400, 88137510496, 479364496, 479410696], 'label': '79833600.d.18480._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957326
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [479364480, 518918400, 88137510496, 479410680], 'label': '79833600.d.18480._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957327
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [135046927, 93405312007, 16, 7, 291075976], 'label': '79833600.d.18480._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957328
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23275440, 93405312007, 87179425223, 16, 7, 448560, 295148296], 'label': '79833600.d.18480._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957329
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 87179425223, 16, 7631296, 251210176], 'label': '79833600.d.18480._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957330
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 16, 7631296, 87179425216, 251210176], 'label': '79833600.d.18480._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957331
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [93405312000, 163749616, 16, 132089760], 'label': '79833600.d.660._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957332
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [7631280, 23, 251210160, 87179425223, 93405312023], 'label': '79833600.d.18480._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957333
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [7631280, 23, 251210160, 87179425207, 93405312023], 'label': '79833600.d.18480._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957334
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [7631280, 93405312007, 251210160, 87179425223, 7], 'label': '79833600.d.18480._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957335
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [7631280, 93405312007, 251210160, 7, 87179425207], 'label': '79833600.d.18480._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957336
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 41063, 16, 279423480], 'label': '79833600.d.18480._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957337
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 16, 279423480, 41056], 'label': '79833600.d.18480._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957338
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 41063, 279423480, 93405312023], 'label': '79833600.d.18480._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957339
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 279423480, 41047, 93405312023], 'label': '79833600.d.18480._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957340
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312007, 41063, 279423480, 7], 'label': '79833600.d.18480._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957341
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312007, 279423480, 7, 41047], 'label': '79833600.d.18480._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957342
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [23, 132089760, 163749600, 93405312023], 'label': '79833600.d.660._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957343
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 16, 813016, 87179879527], 'label': '79833600.d.18480._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957344
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 16, 87179879520, 813016], 'label': '79833600.d.18480._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957345
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 813023, 93405312023, 87179879527], 'label': '79833600.d.18480._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957346
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 87179879543, 813023, 93405312023], 'label': '79833600.d.18480._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957347
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312007, 7, 813007, 87179879527], 'label': '79833600.d.18480._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957348
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87179879543, 93405312007, 7, 813007], 'label': '79833600.d.18480._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957350
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [40002503, 93405312000, 262444463, 16, 448560, 87179425216], 'label': '79833600.d.18480._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957351
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [40002503, 23, 262444463, 87179425223, 448560, 93405312023], 'label': '79833600.d.18480._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957352
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [40002487, 23, 87179425223, 448560, 93405312023, 262444447], 'label': '79833600.d.18480._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957353
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [93405312007, 132089760, 7, 163749600], 'label': '79833600.d.660._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957354
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [40002487, 93405312007, 7, 87179425207, 448560, 262444447], 'label': '79833600.d.18480._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957355
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [40002503, 93405312007, 262444463, 7, 87179425207, 448560], 'label': '79833600.d.18480._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957356
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [88137510503, 518918400, 479364496, 479410696], 'label': '79833600.d.18480._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957357
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [368394053896, 1098856, 16, 959995440, 1896616, 378856, 453720], 'label': '79833600.d.18480._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957358
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [959995447, 1098856, 16, 1896623, 368394053903, 378856, 453720], 'label': '79833600.d.18480._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957359
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [368394053896, 23, 378840, 959995456, 1896616, 453720, 1098840], 'label': '79833600.d.18480._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957360
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 378840, 959995440, 368394053880, 1896600, 453720, 1098840], 'label': '79833600.d.18480._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957361
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [368394053896, 378840, 959995456, 7, 1896616, 453720, 1098840], 'label': '79833600.d.18480._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957362
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [378840, 959995440, 7, 368394053880, 1896600, 453720, 1098840], 'label': '79833600.d.18480._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957363
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93447125296, 1098856, 16, 378856, 19201887360, 453720], 'label': '79833600.d.18480._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957364
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [181062604823, 100115326087, 16, 7, 274467916807, 186810624023, 12470171056], 'label': '79833600.d.660._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957365
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93447125303, 1098856, 16, 378856, 19201887367, 453720], 'label': '79833600.d.18480._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957366
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 19201887383, 378840, 93447125280, 453720, 1098840], 'label': '79833600.d.18480._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957367
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93447125296, 23, 378840, 19201887367, 453720, 1098840], 'label': '79833600.d.18480._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957368
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [378840, 7, 93447125280, 19201887367, 453720, 1098840], 'label': '79833600.d.18480._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957369
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93447125296, 19201887383, 378840, 7, 453720, 1098840], 'label': '79833600.d.18480._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957370
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93447125296, 378840, 1896616, 19199991600, 453720, 1098840], 'label': '79833600.d.18480._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957371
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [19199991616, 93447125296, 378840, 1896600, 453720, 1098840], 'label': '79833600.d.18480._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957372
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93447125296, 378840, 19199991623, 1896607, 453720, 1098840], 'label': '79833600.d.18480._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957373
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93447125296, 378840, 1896623, 19199991607, 453720, 1098840], 'label': '79833600.d.18480._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957374
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [378840, 1896607, 93447125280, 19199991607, 453720, 1098840], 'label': '79833600.d.18480._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957375
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [12472594687, 93887942407, 4037880, 10087, 181062604807, 1447, 7, 261549797880, 186810624007, 479773447, 479003167], 'label': '79833600.d.660._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957376
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [378840, 19199991623, 1896623, 93447125280, 453720, 1098840], 'label': '79833600.d.18480._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957377
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [19199991616, 378840, 93447125280, 1896616, 453720, 1098840], 'label': '79833600.d.18480._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957378
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [378840, 93447125280, 19199991600, 1896600, 453720, 1098840], 'label': '79833600.d.18480._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957379
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [378840, 1896607, 93447125287, 19199991600, 453720, 1098840], 'label': '79833600.d.18480._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957380
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [19199991616, 378840, 1896623, 93447125287, 453720, 1098840], 'label': '79833600.d.18480._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957381
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [378840, 19199991623, 93447125287, 1896616, 453720, 1098840], 'label': '79833600.d.18480._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957382
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [378840, 93447125287, 1896600, 19199991607, 453720, 1098840], 'label': '79833600.d.18480._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957383
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93447125303, 378840, 1896616, 19199991607, 453720, 1098840], 'label': '79833600.d.18480._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957384
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93447125303, 378840, 19199991623, 1896600, 453720, 1098840], 'label': '79833600.d.18480._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957385
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [19199991616, 93447125303, 378840, 1896607, 453720, 1098840], 'label': '79833600.d.18480._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957386
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [479003183, 261549797896, 12472594687, 479773463, 4037880, 10087, 181062604807, 1447, 7, 93887942423, 186810624007], 'label': '79833600.d.660._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957387
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93447125303, 378840, 1896623, 19199991600, 453720, 1098840], 'label': '79833600.d.18480._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957388
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [40002503, 93405312007, 262444463, 87179425223, 7, 448560], 'label': '79833600.d.18480._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957389
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [93447125303, 1098856, 16, 378863, 19201887367, 453720], 'label': '79833600.d.18480._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957390
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [40002487, 23, 87179425207, 448560, 93405312023, 262444447], 'label': '79833600.d.18480._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957391
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [93447125296, 1098856, 16, 7, 19201887367, 453720], 'label': '79833600.d.18480._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957392
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [93447125296, 23, 378856, 19201887367, 453720, 1098840], 'label': '79833600.d.18480._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957393
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [93405312007, 41063, 11249303, 16, 7, 211972463], 'label': '79833600.d.18480._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957394
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [40002503, 93405312000, 262444463, 87179425223, 16, 448560], 'label': '79833600.d.18480._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957395
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [93447125296, 19201887383, 7, 378856, 453720, 1098840], 'label': '79833600.d.18480._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18480.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18480._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957396
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4950, 'diagramx': None, 'generators': [87470640, 93405312000, 302814840, 87107880, 80720640, 127382400], 'label': '79833600.d.19800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957397
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [479773463, 93887942407, 12472594696, 10096, 4037896, 181062604816, 1456, 261549797903, 186810624016, 16, 479003167], 'label': '79833600.d.660._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957398
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9900, 'diagramx': None, 'generators': [267774676696, 181062604800, 274467916800, 186810624000, 16, 181081289656], 'label': '79833600.d.19800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957399
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9900, 'diagramx': None, 'generators': [23, 186810624000, 274467916800, 267774676703, 181062604800, 181081289663], 'label': '79833600.d.19800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957400
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9900, 'diagramx': None, 'generators': [181062604800, 274467916800, 186810624000, 7, 267774676687, 181081289647], 'label': '79833600.d.19800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957401
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 19800, 'diagramx': None, 'generators': [93405312016, 262459447, 87309815160, 16, 7], 'label': '79833600.d.19800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957402
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [19726974840, 16, 19678982400, 13499953920, 13412044816], 'label': '79833600.d.20790._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20790.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20790._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957403
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [19678982407, 19726974840, 16, 13499953920, 13412044823], 'label': '79833600.d.20790._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20790.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20790._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957404
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [23, 13499953920, 19726974863, 19678982416, 13412044816], 'label': '79833600.d.20790._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20790.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20790._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957405
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [23, 19678982400, 13499953920, 19726974863, 13412044800], 'label': '79833600.d.20790._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20790.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20790._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957406
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [19726974847, 13499953920, 7, 19678982416, 13412044816], 'label': '79833600.d.20790._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20790.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20790._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957407
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [19726974847, 19678982400, 13499953920, 7, 13412044800], 'label': '79833600.d.20790._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20790.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20790._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957408
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [261549797896, 479773456, 1456, 10096, 12472594696, 181062604816, 4037896, 16, 479003160, 93887942400, 186810624016], 'label': '79833600.d.660._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957409
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [6227025840, 16, 6227020936, 19640234903, 7, 39916920, 363007, 6489463703], 'label': '79833600.d.20790._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20790.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20790._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957410
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [6227025840, 274467916800, 16, 7, 186810629160, 186810624016, 274486238647], 'label': '79833600.d.20790._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20790.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20790._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957411
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1386, 'diagramx': None, 'generators': [274988085240, 268721763240], 'label': '79833600.d.22176._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22176.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22176._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957412
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [16, 194036790256, 261574790400, 847440], 'label': '79833600.d.22176._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22176.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22176._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957413
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [847447, 7, 261574790400, 194036790240], 'label': '79833600.d.22176._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22176.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22176._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957414
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [361167978960, 6268520880], 'label': '79833600.d.22176._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22176.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22176._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957415
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [23, 261574790400, 847463, 194036790240], 'label': '79833600.d.22176._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22176.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22176._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957416
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292823, 281175164663, 261574790400, 847440], 'label': '79833600.d.22176._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22176.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22176._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957417
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [281175164647, 87657292807, 261574790400, 847440], 'label': '79833600.d.22176._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22176.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22176._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957418
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292800, 281175164640, 261574790400, 847440], 'label': '79833600.d.22176._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22176.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22176._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957419
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10080, 243654600, 12497996160, 19247967360, 1860480, 283575600, 12384000, 840, 522956280, 15840, 93405312000, 97320], 'label': '79833600.d.4.a1.a1', '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.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957420
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [181062604823, 261549797896, 186810624023, 1463, 23, 93887942407, 4037880, 10103, 479773447, 12472594703, 479003167], 'label': '79833600.d.660._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957421
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2772, 'diagramx': None, 'generators': [87657292816, 281175164656, 261574790400, 847440], 'label': '79833600.d.22176._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22176.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22176._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957422
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [403223, 18553696, 18553087, 124104976, 164062103, 7, 16, 22182623, 766200, 93405312007], 'label': '79833600.d.23100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957423
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [87179057280, 3633856, 771136, 124104976, 283415176, 93405312000, 16, 15689536, 283582200, 243665280], 'label': '79833600.d.23100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957424
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633856, 771136, 87179057287, 124104976, 283415176, 93405312000, 16, 15689536, 283582200, 243665280], 'label': '79833600.d.23100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957425
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [23, 3633840, 243665303, 15689543, 93405312023, 771143, 124104960, 87179057296, 283415160, 283582223], 'label': '79833600.d.23100._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957426
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [23, 3633840, 243665303, 87179057280, 15689543, 93405312023, 771143, 124104960, 283415160, 283582223], 'label': '79833600.d.23100._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957427
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 243665287, 771127, 124104960, 87179057296, 283415160, 15689527, 7, 283582207, 93405312007], 'label': '79833600.d.23100._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957428
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 87179057280, 243665287, 771127, 124104960, 283415160, 15689527, 7, 283582207, 93405312007], 'label': '79833600.d.23100._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957429
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633856, 87237133336, 771136, 124104976, 283415176, 93405312000, 16, 15689536, 283582200, 243665280], 'label': '79833600.d.23100._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957430
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [243665280, 93405312000, 283582200, 16, 3633856, 771136, 124104976, 283415176, 15689536, 87237133343], 'label': '79833600.d.23100._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957431
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [181062604823, 186810624023, 479003183, 1463, 23, 479773463, 4037880, 10103, 93887942423, 261549797880, 12472594703], 'label': '79833600.d.660._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '660.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957432
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [23, 3633840, 243665303, 87237133336, 15689543, 93405312023, 771143, 124104960, 283415160, 283582223], 'label': '79833600.d.23100._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957433
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [23, 243665303, 3633840, 15689543, 93405312023, 771143, 124104960, 283415160, 87237133320, 283582223], 'label': '79833600.d.23100._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957434
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 87237133336, 243665287, 771127, 124104960, 283415160, 15689527, 7, 283582207, 93405312007], 'label': '79833600.d.23100._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957435
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [283582207, 124104960, 283415160, 93405312007, 87237133320, 15689527, 7, 243665287, 3633840, 771127], 'label': '79833600.d.23100._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957436
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [201051496, 403216, 93405312000, 16, 18553080, 124104976, 766200, 164062096, 22182616, 18553696], 'label': '79833600.d.23100._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957437
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [403216, 93405312000, 16, 201051503, 18553080, 124104976, 766200, 164062096, 22182616, 18553696], 'label': '79833600.d.23100._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957438
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [403223, 23, 93405312023, 18553680, 124104960, 164062103, 201051496, 22182623, 766200, 18553103], 'label': '79833600.d.23100._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957439
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [403223, 23, 201051480, 93405312023, 18553680, 124104960, 164062103, 22182623, 766200, 18553103], 'label': '79833600.d.23100._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957440
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [22182607, 164062087, 18553087, 18553680, 124104960, 403207, 7, 201051496, 766200, 93405312007], 'label': '79833600.d.23100._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957441
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [201051480, 22182607, 164062087, 18553087, 18553680, 124104960, 403207, 7, 766200, 93405312007], 'label': '79833600.d.23100._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957442
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [19200147967, 39916943, 174875500816, 87178700303, 479129167, 856, 87178654087, 6706109656, 93924230400, 997921567, 16, 479003183], 'label': '79833600.d.924._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '924.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '924._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957443
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 87179057280, 771120, 87237133336, 15689520, 124104960, 283415160, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957444
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 87237133336, 15689520, 124104960, 87179057296, 283415160, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957445
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 87237133336, 15689520, 87179057303, 124104960, 283415160, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957446
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 87237133336, 15689520, 87179057287, 124104960, 283415160, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957447
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 15689520, 87179057287, 124104960, 283415160, 87237133320, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957448
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 15689520, 87179057303, 124104960, 283415160, 87237133320, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957449
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 15689520, 124104960, 87179057296, 283415160, 87237133320, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957450
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 87179057280, 771120, 15689520, 124104960, 283415160, 87237133320, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957451
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 87179057280, 771120, 15689520, 124104960, 283415160, 87237133327, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957452
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 15689520, 124104960, 87179057296, 283415160, 87237133327, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957453
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [19200147960, 174875500816, 479129160, 997921560, 87178654080, 856, 6706109656, 93924230400, 87178700296, 16, 39916936, 479003176], 'label': '79833600.d.924._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '924.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '924._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957454
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 15689520, 87179057303, 124104960, 283415160, 87237133327, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957455
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 15689520, 87179057287, 124104960, 283415160, 87237133327, 93405312000, 283582200, 243665280], 'label': '79833600.d.23100._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957456
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 15689520, 87179057287, 124104960, 283415160, 93405312000, 87237133343, 283582200, 243665280], 'label': '79833600.d.23100._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957457
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 15689520, 87179057303, 124104960, 283415160, 93405312000, 87237133343, 283582200, 243665280], 'label': '79833600.d.23100._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957458
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 771120, 15689520, 124104960, 87179057296, 283415160, 93405312000, 87237133343, 283582200, 243665280], 'label': '79833600.d.23100._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957459
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [3633840, 87179057280, 771120, 15689520, 124104960, 283415160, 93405312000, 87237133343, 283582200, 243665280], 'label': '79833600.d.23100._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957460
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [87179057287, 243665280, 124104983, 93405312000, 283582200, 16, 3633856, 771136, 283415176, 15689536], 'label': '79833600.d.23100._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957461
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [201051496, 766207, 403216, 93405312000, 16, 18553080, 124104976, 164062096, 22182616, 18553696], 'label': '79833600.d.23100._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957462
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [201051496, 18553087, 22182623, 93405312007, 16, 7, 124104976, 164062103, 403223, 18553696], 'label': '79833600.d.23100._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957463
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [3633840, 87179057280, 243665287, 771127, 283415160, 124104976, 15689527, 7, 283582207, 93405312007], 'label': '79833600.d.23100._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957464
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [19200147983, 479003183, 23, 6706109663, 87178654080, 93924230423, 39916943, 479129183, 997921560, 174875500823, 87178700280, 840], 'label': '79833600.d.924._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '924.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '924._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957465
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [403223, 23, 93405312023, 18553680, 124104960, 164062103, 201051496, 766216, 22182623, 18553103], 'label': '79833600.d.23100._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957466
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [87179057280, 3633856, 15689543, 243665287, 771143, 283415176, 7, 16, 283582207, 93405312007], 'label': '79833600.d.23100._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957467
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [23, 243665303, 3633840, 87179057280, 15689543, 93405312023, 771143, 283415160, 124104976, 283582223], 'label': '79833600.d.23100._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957468
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [22182607, 164062087, 18553087, 18553680, 124104960, 403207, 7, 201051496, 766216, 93405312007], 'label': '79833600.d.23100._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957469
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [23628967, 262036536487, 181062604807, 186810624000, 100111713256, 174855674887, 7, 274467916807, 16, 490291216], 'label': '79833600.d.23100._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23100.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23100._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957470
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13200, 'diagramx': None, 'generators': [16, 690283440, 3376684800], 'label': '79833600.d.26400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957471
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13200, 'diagramx': None, 'generators': [23, 690283463, 3376684800], 'label': '79833600.d.26400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957472
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13200, 'diagramx': None, 'generators': [7, 690283447, 3376684800], 'label': '79833600.d.26400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957473
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [274467916800, 7, 186830019367, 186811471447, 186810624007], 'label': '79833600.d.27720._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957474
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [16, 186811471456, 274467916816, 186810624016, 186830019376], 'label': '79833600.d.27720._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957475
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [23, 6706109663, 93924230423, 19200147967, 87178700296, 87178654096, 479129167, 997921576, 39916927, 174875500823, 840, 479003167], 'label': '79833600.d.924._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '924.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '924._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957476
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2310, 'diagramx': None, 'generators': [23, 274467916800, 186830019383, 186811471463, 186810624023], 'label': '79833600.d.27720._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957477
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [44639303, 16, 7, 11543], 'label': '79833600.d.27720._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957478
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [40330223, 100592328383, 1624320, 1502640, 1216200, 1139040], 'label': '79833600.d.27720._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957479
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836800, 1001548800, 522587543, 46200, 88136460720], 'label': '79833600.d.27720._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957480
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836800, 1001548800, 522587527, 46200, 88136460720], 'label': '79833600.d.27720._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957481
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836800, 1001548800, 46200, 522587520, 88136460720], 'label': '79833600.d.27720._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957482
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836800, 1001548800, 522587536, 46200, 88136460720], 'label': '79833600.d.27720._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957483
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [88136460727, 1037836800, 1001548800, 522587536, 46200], 'label': '79833600.d.27720._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957484
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [88136460727, 1037836800, 1001548800, 46200, 522587520], 'label': '79833600.d.27720._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957485
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [88136460727, 1037836800, 1001548800, 522587527, 46200], 'label': '79833600.d.27720._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957486
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [39916943, 6706109647, 479129183, 997921576, 840, 174875500807, 7, 19200147983, 87178700296, 87178654096, 479003183, 93924230407], 'label': '79833600.d.924._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '924.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '924._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957487
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [88136460727, 1037836800, 1001548800, 522587543, 46200], 'label': '79833600.d.27720._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957488
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836800, 1001548800, 522587543, 88136460743, 46200], 'label': '79833600.d.27720._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957489
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836800, 1001548800, 522587527, 88136460743, 46200], 'label': '79833600.d.27720._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957490
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836800, 1001548800, 88136460743, 46200, 522587520], 'label': '79833600.d.27720._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957491
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1037836800, 1001548800, 522587536, 88136460743, 46200], 'label': '79833600.d.27720._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957492
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [203631240, 16, 87178417927, 7, 214181407], 'label': '79833600.d.27720._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957493
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [88136460736, 1037836800, 1001548800, 522587536, 46200], 'label': '79833600.d.27720._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957494
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [16, 87178417920, 87345620760, 286716360], 'label': '79833600.d.27720._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957495
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [16, 87178417920, 87345620767, 286716360], 'label': '79833600.d.27720._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957496
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 87178417943, 286716383, 87345620783], 'label': '79833600.d.27720._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957497
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [19200147967, 6706109647, 87178700280, 479129167, 997921560, 87178654080, 840, 174875500807, 7, 39916927, 479003167, 93924230407], 'label': '79833600.d.924._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '924.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '924._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957498
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 87178417943, 286716383, 87345620767], 'label': '79833600.d.27720._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957499
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [286716367, 87178417927, 7, 87345620767], 'label': '79833600.d.27720._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957500
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [286716367, 87178417927, 7, 87345620783], 'label': '79833600.d.27720._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957501
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604823, 16, 11652487, 7, 274467916816, 186810786143, 186810624023], 'label': '79833600.d.27720._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957502
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [21909743, 16, 274467916816, 186810624016, 11543, 181062604816], 'label': '79833600.d.27720._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957503
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [11536, 21909736, 16, 274467916816, 186810624016, 181062604816], 'label': '79833600.d.27720._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957504
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604823, 23, 274467916800, 21909743, 11543, 186810624023], 'label': '79833600.d.27720._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957505
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604823, 23, 274467916800, 11527, 186810624023, 21909727], 'label': '79833600.d.27720._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957506
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604807, 274467916800, 21909743, 7, 11543, 186810624007], 'label': '79833600.d.27720._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957507
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604807, 274467916800, 11527, 7, 21909727, 186810624007], 'label': '79833600.d.27720._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957508
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [186810665047, 16, 18722512823, 7], 'label': '79833600.d.924._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '924.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '924._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957509
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [93887942423, 261550160663, 16, 274467916816, 186810624016, 181062604816], 'label': '79833600.d.27720._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957510
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261550160656, 16, 274467916816, 186810624016, 181062604816, 93887942416], 'label': '79833600.d.27720._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957511
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604823, 23, 274467916800, 93887942423, 261550160663, 186810624023], 'label': '79833600.d.27720._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957512
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604823, 23, 274467916800, 93887942407, 261550160647, 186810624023], 'label': '79833600.d.27720._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957513
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604807, 274467916800, 93887942423, 261550160663, 7, 186810624007], 'label': '79833600.d.27720._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957514
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604807, 274467916800, 93887942407, 7, 261550160647, 186810624007], 'label': '79833600.d.27720._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957515
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [16, 1497736, 274467916816, 186810624016, 186829187760, 181062604816, 261534959287], 'label': '79833600.d.27720._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957516
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [16, 1497736, 261534959280, 274467916816, 186810624016, 186829187760, 181062604816], 'label': '79833600.d.27720._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957517
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604823, 23, 274467916800, 1497720, 186810624023, 186829187783, 261534959287], 'label': '79833600.d.27720._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957518
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604823, 23, 274467916800, 261534959303, 1497720, 186810624023, 186829187783], 'label': '79833600.d.27720._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957519
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [255634567, 16, 7, 18225360], 'label': '79833600.d.990._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '990.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '990._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957520
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604807, 274467916800, 186829187767, 7, 1497720, 261534959287, 186810624007], 'label': '79833600.d.27720._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957521
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [181062604807, 274467916800, 186829187767, 7, 261534959303, 1497720, 186810624007], 'label': '79833600.d.27720._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957522
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [88136460736, 1037836800, 1001548800, 46200, 522587520], 'label': '79833600.d.27720._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957523
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [16, 186830019383, 274467916816, 186811471463, 186810624023], 'label': '79833600.d.27720._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957524
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [88136460736, 1037836800, 1001548800, 522587527, 46200], 'label': '79833600.d.27720._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957525
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 186830019383, 274467916816, 186811471463, 186810624023], 'label': '79833600.d.27720._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957526
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [88136460736, 1037836800, 1001548800, 522587543, 46200], 'label': '79833600.d.27720._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957527
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [7, 186830019383, 274467916816, 186811471463, 186810624023], 'label': '79833600.d.27720._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957528
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [186810624000, 7344840, 274467916816, 261538670280], 'label': '79833600.d.27720._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957529
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670296, 186810624000, 7344840, 274467916816], 'label': '79833600.d.27720._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957530
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '11.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': 11, 'diagramx': None, 'generators': [11306176, 1463, 177967, 279781327, 16703, 12976997896, 18552240, 13499953920, 363607, 7, 16, 22262416, 279422656], 'label': '79833600.d.11.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957531
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 495, 'diagramx': None, 'generators': [243538696, 18553096, 6270975480, 1456, 126840, 15856, 16, 6266937616], 'label': '79833600.d.990._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '990.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '990._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957532
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [186810624000, 7344840, 274467916816, 261538670303], 'label': '79833600.d.27720._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957533
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670287, 186810624000, 7344840, 274467916816], 'label': '79833600.d.27720._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957534
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670287, 274467916800, 186810624000, 7344840], 'label': '79833600.d.27720._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957535
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [274467916800, 186810624000, 7344840, 261538670303], 'label': '79833600.d.27720._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957536
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670296, 274467916800, 186810624000, 7344840], 'label': '79833600.d.27720._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957537
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [274467916800, 186810624000, 7344840, 261538670280], 'label': '79833600.d.27720._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957538
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [186810624000, 7344840, 261538670280, 274467916807], 'label': '79833600.d.27720._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957539
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670296, 186810624000, 7344840, 274467916807], 'label': '79833600.d.27720._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957540
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [186810624000, 7344840, 261538670303, 274467916807], 'label': '79833600.d.27720._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957541
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670287, 186810624000, 7344840, 274467916807], 'label': '79833600.d.27720._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957542
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 495, 'diagramx': None, 'generators': [1463, 23, 243538680, 15840, 6270975487, 126863, 18553080, 6266937616], 'label': '79833600.d.990._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '990.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '990._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957543
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670287, 186810624000, 7344840, 274467916823], 'label': '79833600.d.27720._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957544
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [186810624000, 7344840, 261538670303, 274467916823], 'label': '79833600.d.27720._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957545
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670296, 186810624000, 7344840, 274467916823], 'label': '79833600.d.27720._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957546
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [186810624000, 7344840, 261538670280, 274467916823], 'label': '79833600.d.27720._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957547
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [16, 261538670280, 186810624016, 7344856], 'label': '79833600.d.27720._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957548
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670287, 16, 186810624016, 7344856], 'label': '79833600.d.27720._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957549
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 7344863, 261538670280, 186810624023], 'label': '79833600.d.27720._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957550
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670296, 23, 7344863, 186810624023], 'label': '79833600.d.27720._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957551
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [7, 261538670280, 7344847, 186810624007], 'label': '79833600.d.27720._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957552
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [261538670296, 7, 7344847, 186810624007], 'label': '79833600.d.27720._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957553
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 495, 'diagramx': None, 'generators': [1463, 23, 6266937600, 6270975503, 243538680, 15840, 126863, 18553080], 'label': '79833600.d.990._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '990.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '990._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957554
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [354980965087, 1624336, 16, 7, 1216207, 19680198616, 1502647], 'label': '79833600.d.27720._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957555
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1624336, 16, 40406536, 1502640, 1216200, 100592328376], 'label': '79833600.d.27720._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957556
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [100592328383, 40406543, 1624336, 16, 1502640, 1216200], 'label': '79833600.d.27720._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957557
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 40406536, 1624320, 1502663, 1216223, 100592328376], 'label': '79833600.d.27720._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957558
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [100592328360, 23, 1624320, 1502663, 1216223, 40406520], 'label': '79833600.d.27720._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957559
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [40406536, 1624320, 7, 1216207, 1502647, 100592328376], 'label': '79833600.d.27720._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957560
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [100592328360, 1624320, 7, 1216207, 40406520, 1502647], 'label': '79833600.d.27720._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957561
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1624336, 16, 40330200, 1502640, 100592232480, 1216200], 'label': '79833600.d.27720._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957562
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1624336, 16, 1502640, 100592232487, 40330207, 1216200], 'label': '79833600.d.27720._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957563
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [40330223, 23, 1624320, 1502663, 1216223, 100592232480], 'label': '79833600.d.27720._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957564
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 495, 'diagramx': None, 'generators': [6270975503, 6266937616, 18553080, 1447, 7, 243538680, 15840, 126847], 'label': '79833600.d.990._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '990.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '990._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957565
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 1624320, 1502663, 1216223, 40330207, 100592232496], 'label': '79833600.d.27720._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957566
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1624320, 7, 1216207, 100592232480, 40330207, 1502647], 'label': '79833600.d.27720._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957567
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [40330223, 1624320, 7, 1216207, 100592232496, 1502647], 'label': '79833600.d.27720._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957568
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1139047, 1624336, 16, 19679024287, 354981650423, 1502640, 1216200], 'label': '79833600.d.27720._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957569
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1624336, 16, 19679024280, 354981650416, 1502640, 1216200, 1139040], 'label': '79833600.d.27720._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957570
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [354981650407, 23, 1139047, 1624320, 1502663, 1216223, 19679024296], 'label': '79833600.d.27720._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957571
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [23, 1624320, 1502663, 19679024280, 1216223, 354981650423, 1139063], 'label': '79833600.d.27720._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957572
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [354981650407, 1139047, 1624320, 19679024280, 7, 1216207, 1502647], 'label': '79833600.d.27720._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957573
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1624320, 7, 354981650423, 1216207, 19679024296, 1139063, 1502647], 'label': '79833600.d.27720._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957574
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [40330223, 1139047, 1624320, 1502640, 1216200, 100592328376], 'label': '79833600.d.27720._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957575
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 495, 'diagramx': None, 'generators': [6266937600, 18553080, 1447, 7, 243538680, 6270975487, 15840, 126847], 'label': '79833600.d.990._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '990.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '990._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957576
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1624320, 1502640, 40330207, 1139063, 1216200, 100592328376], 'label': '79833600.d.27720._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957577
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1139056, 1624320, 40330200, 1502640, 1216200, 100592328376], 'label': '79833600.d.27720._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957578
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1624320, 1502640, 40330216, 1216200, 100592328376, 1139040], 'label': '79833600.d.27720._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957579
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [100592328360, 1139056, 1624320, 1502640, 40330216, 1216200], 'label': '79833600.d.27720._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957580
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [100592328360, 1624320, 40330200, 1502640, 1216200, 1139040], 'label': '79833600.d.27720._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957581
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [100592328360, 1139047, 1624320, 1502640, 40330207, 1216200], 'label': '79833600.d.27720._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957582
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [40330223, 100592328360, 1624320, 1502640, 1139063, 1216200], 'label': '79833600.d.27720._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957583
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [40330223, 1139056, 1624320, 1502640, 1216200, 100592328367], 'label': '79833600.d.27720._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957584
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1624320, 1502640, 40330207, 1216200, 100592328367, 1139040], 'label': '79833600.d.27720._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957585
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1139047, 1624320, 40330200, 1502640, 1216200, 100592328367], 'label': '79833600.d.27720._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957586
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 495, 'diagramx': None, 'generators': [6266937623, 1456, 16, 15856, 18553096, 126840, 243538696, 6270975487], 'label': '79833600.d.990._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '990.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '990._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957587
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [1624320, 1502640, 40330216, 1139063, 1216200, 100592328367], 'label': '79833600.d.27720._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957588
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [100592328383, 1139047, 1624320, 1502640, 40330216, 1216200], 'label': '79833600.d.27720._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957589
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [100592328383, 1624320, 40330200, 1502640, 1139063, 1216200], 'label': '79833600.d.27720._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957590
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [100592328383, 1139056, 1624320, 1502640, 40330207, 1216200], 'label': '79833600.d.27720._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957591
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [261538670296, 93891697343, 181062604807, 274467916800, 7, 186810624007], 'label': '79833600.d.27720._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957592
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [181062604807, 93891697327, 274467916800, 7, 261538670280, 186810624007], 'label': '79833600.d.27720._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957593
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [23, 87178417927, 286716383, 87345620767], 'label': '79833600.d.27720._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957594
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [16, 87178417927, 87345620767, 286716360], 'label': '79833600.d.27720._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957595
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [286716367, 87178417943, 7, 87345620783], 'label': '79833600.d.27720._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957596
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [181062604823, 186814626623, 16, 7, 274467916816, 8714887, 186810624023], 'label': '79833600.d.27720._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957597
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [16, 7, 274467916823, 186810624023, 93887942416, 93899974336], 'label': '79833600.d.990._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '990.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '990._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957598
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [261538670287, 93891697343, 16, 274467916816, 186810624016, 181062604816], 'label': '79833600.d.27720._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957599
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [16, 274467916816, 261538670280, 186810624016, 93891697336, 181062604816], 'label': '79833600.d.27720._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957600
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [93891697343, 181062604823, 23, 274467916800, 261538670280, 186810624023], 'label': '79833600.d.27720._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957601
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13860, 'diagramx': None, 'generators': [261538670296, 181062604823, 23, 93891697327, 274467916800, 186810624023], 'label': '79833600.d.27720._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957602
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27720, 'diagramx': None, 'generators': [56577796703, 16, 6710019856, 7, 1122145936, 3483739463], 'label': '79833600.d.27720._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957603
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27720, 'diagramx': None, 'generators': [367434992303, 1896600, 378840, 7, 1098863, 16, 18682166287, 13413138503, 453743], 'label': '79833600.d.27720._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957604
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27720, 'diagramx': None, 'generators': [100590704056, 766800, 16, 862696, 7, 40330207], 'label': '79833600.d.27720._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957605
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27720, 'diagramx': None, 'generators': [93405312016, 16, 87178417927, 7, 87345620767, 87385189080], 'label': '79833600.d.27720._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957606
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27720, 'diagramx': None, 'generators': [93405312016, 16, 7, 203995456, 87178654087, 164062096], 'label': '79833600.d.27720._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27720.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27720._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957607
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4950, 'diagramx': None, 'generators': [255634576, 16, 255992416, 51700320, 127376040, 179788336], 'label': '79833600.d.29700._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29700.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29700._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957608
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [284947920, 93405312000, 101784360], 'label': '79833600.d.1320._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1320.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1320._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957609
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4950, 'diagramx': None, 'generators': [179788320, 23, 255634583, 255992400, 51700320, 127376040], 'label': '79833600.d.29700._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29700.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29700._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957610
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4950, 'diagramx': None, 'generators': [179788320, 255634567, 7, 255992400, 51700320, 127376040], 'label': '79833600.d.29700._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29700.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29700._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957611
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9900, 'diagramx': None, 'generators': [186819338896, 16, 7, 274467916816, 186810624016, 274479338903], 'label': '79833600.d.29700._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29700.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29700._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957612
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 30240, 'diagramx': None, 'generators': [33269211360, 392873851576, 16, 7], 'label': '79833600.d.30240._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30240.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30240._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957613
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 30240, 'diagramx': None, 'generators': [283569482887, 37933348463, 16, 7], 'label': '79833600.d.30240._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30240.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30240._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957614
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [403216, 1568866320, 16, 87218572447, 2046643216, 518918416], 'label': '79833600.d.30800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957615
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [403216, 1568866320, 16, 2046643223, 87218572447, 518918416], 'label': '79833600.d.30800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957616
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [403216, 1568866320, 16, 2046643223, 87218572440, 518918416], 'label': '79833600.d.30800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957617
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [403216, 1568866320, 16, 87218572440, 2046643216, 518918416], 'label': '79833600.d.30800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957618
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [1568866320, 23, 87218572447, 2046643216, 518918423, 403223], 'label': '79833600.d.30800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957619
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [1497720, 93887942400, 480136440, 479016720, 4037880, 186810624000, 181062604800, 1440, 479001720], 'label': '79833600.d.1320._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1320.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1320._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957620
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [1568866320, 23, 2046643200, 87218572447, 518918423, 403223], 'label': '79833600.d.30800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957621
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [1568866320, 23, 2046643200, 518918423, 403223, 87218572463], 'label': '79833600.d.30800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957622
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [1568866320, 23, 2046643216, 518918423, 403223, 87218572463], 'label': '79833600.d.30800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957623
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [1568866320, 403207, 7, 87218572447, 2046643216, 518918407], 'label': '79833600.d.30800._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957624
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [1568866320, 403207, 7, 2046643200, 87218572447, 518918407], 'label': '79833600.d.30800._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957625
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [1568866320, 403207, 7, 2046643200, 518918407, 87218572463], 'label': '79833600.d.30800._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957626
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [1568866320, 403207, 7, 2046643216, 518918407, 87218572463], 'label': '79833600.d.30800._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957627
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [1683809296, 16, 662296456, 7, 1001548816, 243538703, 1967983920, 1480636096, 80656], 'label': '79833600.d.30800._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957628
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [518919256, 847, 16, 40281143, 958406400, 3614647687, 7, 87218572447, 364440], 'label': '79833600.d.30800._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957629
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15400, 'diagramx': None, 'generators': [518919256, 847, 16, 40281143, 958406400, 3614647687, 7, 364440, 90834080543], 'label': '79833600.d.30800._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30800.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30800._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957630
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [479001743, 1497720, 4037880, 186810624000, 479016743, 480136463, 93887942423, 181062604800, 1440], 'label': '79833600.d.1320._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1320.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1320._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957631
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '31680.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': 330, 'diagramx': None, 'generators': [40039200, 7787640], 'label': '79833600.d.31680.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31680.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31680.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957632
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [362125209600, 193077561607, 16, 1467376, 7, 368392914863], 'label': '79833600.d.33264._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957633
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [87657292816, 16, 175314950047, 7, 175314666263, 99672249623], 'label': '79833600.d.33264._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957634
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [997976160, 349711498816, 16, 500536, 847440], 'label': '79833600.d.33264._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957635
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [16, 997976167, 500536, 349711498823, 847440], 'label': '79833600.d.33264._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957636
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [23, 349711498816, 500520, 997976176, 847440], 'label': '79833600.d.33264._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957637
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [997976160, 23, 500520, 349711498800, 847440], 'label': '79833600.d.33264._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957638
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [349711498816, 500520, 7, 997976176, 847440], 'label': '79833600.d.33264._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957639
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [997976160, 500520, 349711498800, 7, 847440], 'label': '79833600.d.33264._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957640
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [268719897600, 16, 187290109583, 94403611567, 175314585600], 'label': '79833600.d.33264._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957641
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [10096, 22142176, 12976997896, 167056, 13499953936, 856, 16, 279422640, 363600], 'label': '79833600.d.22._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957642
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [181062604800, 1440, 4037880, 480136447, 186810624000, 93887942407, 479001727, 1497720, 479016727], 'label': '79833600.d.1320._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1320.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1320._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957643
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [268719897600, 16, 94403611560, 175314585600, 187290109576], 'label': '79833600.d.33264._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957644
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [23, 94403611560, 187290109583, 175314585600, 268719897623], 'label': '79833600.d.33264._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957645
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [187290109567, 23, 94403611576, 175314585600, 268719897623], 'label': '79833600.d.33264._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957646
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [187290109567, 94403611560, 7, 175314585600, 268719897607], 'label': '79833600.d.33264._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957647
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16632, 'diagramx': None, 'generators': [7, 94403611576, 187290109583, 175314585600, 268719897607], 'label': '79833600.d.33264._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33264.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33264._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957648
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [203626087, 22544760, 243543616, 7, 51898320, 203621767, 16, 530040, 1861320, 9077880], 'label': '79833600.d.34650._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957649
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [93405312016, 87107887, 165191887, 87179748607, 1987327, 243297376, 215717047, 7, 16, 176158207], 'label': '79833600.d.34650._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957650
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [93405312016, 127387560, 262459463, 92589840, 16, 302376367, 7, 99082087, 212340367, 303182776], 'label': '79833600.d.34650._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957651
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [93405312016, 1624327, 243297376, 16, 87180151800, 215717040, 1987320, 176158200, 165191880, 87107880], 'label': '79833600.d.34650._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957652
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [93405312016, 215717040, 87107880, 165191880, 243297376, 176158200, 16, 1624320, 1987320, 87180151800], 'label': '79833600.d.34650._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957653
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [181062604800, 1440, 4037880, 186810624000, 479001736, 480136456, 479016736, 1497720, 93887942416], 'label': '79833600.d.1320._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1320.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1320._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957654
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [93405312016, 215717040, 87107880, 165191880, 243297376, 176158200, 87180151807, 16, 1624320, 1987320], 'label': '79833600.d.34650._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957655
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [93405312016, 1624327, 243297376, 87180151807, 16, 215717040, 1987320, 176158200, 165191880, 87107880], 'label': '79833600.d.34650._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957656
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [1987343, 23, 215717063, 1624327, 243297360, 87107903, 93405312000, 165191903, 176158223, 87180151800], 'label': '79833600.d.34650._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957657
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [87180151800, 243297360, 176158223, 165191903, 23, 1987343, 1624343, 93405312000, 215717063, 87107903], 'label': '79833600.d.34650._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957658
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [243297360, 176158223, 165191903, 23, 1987343, 87180151816, 1624343, 93405312000, 215717063, 87107903], 'label': '79833600.d.34650._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957659
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [243297360, 1624327, 176158223, 165191903, 23, 1987343, 87180151816, 93405312000, 215717063, 87107903], 'label': '79833600.d.34650._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957660
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [165191887, 87180151800, 215717047, 1987327, 243297360, 1624327, 176158207, 7, 87107887, 93405312000], 'label': '79833600.d.34650._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957661
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [1624343, 87107887, 165191887, 1987327, 215717047, 243297360, 93405312000, 7, 87180151800, 176158207], 'label': '79833600.d.34650._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957662
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [1624343, 87107887, 165191887, 1987327, 87180151816, 215717047, 243297360, 93405312000, 7, 176158207], 'label': '79833600.d.34650._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957663
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [87107887, 165191887, 1624327, 1987327, 87180151816, 215717047, 243297360, 93405312000, 7, 176158207], 'label': '79833600.d.34650._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957664
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [93409706880, 274467916800, 186810624000, 16, 93424237336, 181062604816], 'label': '79833600.d.1320._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1320.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1320._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957665
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [1855583, 15009120, 16, 87180151800, 9077880, 7, 18512663, 165191887, 83478367, 18638663], 'label': '79833600.d.34650._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957666
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [1855583, 15009120, 16, 9077880, 7, 18512663, 165191887, 87378641407, 83478367, 18638663], 'label': '79833600.d.34650._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957667
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [93405312016, 1987327, 243297376, 16, 87180151800, 7, 87107887, 165191887, 215717047, 176158207], 'label': '79833600.d.34650._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957668
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [15009120, 18512656, 1855576, 16, 87180151800, 9077880, 18638656, 165191880, 87378641407, 83478360], 'label': '79833600.d.34650._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957669
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [15009120, 18512656, 87180151807, 1855576, 16, 9077880, 18638656, 165191880, 87378641407, 83478360], 'label': '79833600.d.34650._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957670
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [15009120, 18638656, 83478360, 18512656, 165191880, 87378641400, 87180151807, 16, 1855576, 9077880], 'label': '79833600.d.34650._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957671
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [15009120, 18638656, 83478360, 18512656, 165191880, 87378641400, 16, 1855576, 9077880, 87180151800], 'label': '79833600.d.34650._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957672
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [15009120, 23, 87378641407, 18638663, 1855583, 83478383, 165191903, 18512663, 87180151800, 9077880], 'label': '79833600.d.34650._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957673
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [15009120, 23, 87378641407, 87180151816, 18638663, 1855583, 83478383, 165191903, 18512663, 9077880], 'label': '79833600.d.34650._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957674
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [15009120, 23, 87378641423, 87180151816, 18638663, 1855583, 83478383, 165191903, 18512663, 9077880], 'label': '79833600.d.34650._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957675
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [181062604800, 23, 274467916800, 93424237343, 93409706903, 186810624023], 'label': '79833600.d.1320._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1320.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1320._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957676
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [15009120, 23, 87378641423, 18638663, 1855583, 83478383, 165191903, 18512663, 87180151800, 9077880], 'label': '79833600.d.34650._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957677
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [1855567, 15009120, 83478367, 165191887, 18512647, 87378641407, 7, 87180151800, 9077880, 18638647], 'label': '79833600.d.34650._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957678
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [1855567, 15009120, 83478367, 165191887, 18512647, 87378641407, 87180151816, 7, 9077880, 18638647], 'label': '79833600.d.34650._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957679
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [1855567, 15009120, 83478367, 165191887, 18512647, 87378641423, 87180151816, 7, 9077880, 18638647], 'label': '79833600.d.34650._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957680
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 17325, 'diagramx': None, 'generators': [1855567, 15009120, 83478367, 165191887, 18512647, 87378641423, 7, 87180151800, 9077880, 18638647], 'label': '79833600.d.34650._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957681
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 34650, 'diagramx': None, 'generators': [1855583, 93405312016, 15009120, 16, 87180151800, 9077880, 7, 165191887, 83478367, 18638663], 'label': '79833600.d.34650._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957682
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 34650, 'diagramx': None, 'generators': [93405312016, 243901456, 262459463, 168794767, 303182776, 11291167, 7, 212340367, 16, 22669920], 'label': '79833600.d.34650._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957683
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 34650, 'diagramx': None, 'generators': [181062604823, 482767943, 274467916823, 3755543, 186810624000, 187298351303, 7, 16, 93405449536, 100130367023], 'label': '79833600.d.34650._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '34650.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34650._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957684
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [171450847, 93405312007, 7787647, 16, 101613023, 7], 'label': '79833600.d.36960._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957685
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 16, 298418520, 182247240], 'label': '79833600.d.36960._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957686
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [181062604800, 93409706887, 93424237327, 274467916800, 7, 186810624007], 'label': '79833600.d.1320._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1320.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1320._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957687
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 182247240, 93405312023, 298418543], 'label': '79833600.d.36960._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957688
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312007, 182247240, 298418527, 7], 'label': '79833600.d.36960._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957689
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [856, 93405312000, 16, 171320520, 10928176, 87178291936], 'label': '79833600.d.36960._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957690
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [856, 93405312000, 16, 171320520, 10928176, 87178291943], 'label': '79833600.d.36960._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957691
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 10928183, 171320520, 87178291936, 93405312023, 840], 'label': '79833600.d.36960._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957692
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [23, 10928183, 171320520, 87178291920, 93405312023, 840], 'label': '79833600.d.36960._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957693
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312007, 171320520, 7, 10928167, 87178291936, 840], 'label': '79833600.d.36960._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957694
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312007, 171320520, 7, 10928167, 87178291920, 840], 'label': '79833600.d.36960._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957695
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 22544760, 101687880, 87178291936], 'label': '79833600.d.36960._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957696
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 22544760, 101687880, 87178291920], 'label': '79833600.d.36960._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957697
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1320, 'diagramx': None, 'generators': [41040, 817943, 10080, 167896, 6230649600, 840, 7, 4037887, 6706022407, 16703, 16, 409823, 126000], 'label': '79833600.d.1320._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1320.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1320._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957698
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 22544760, 101687880, 87178291927], 'label': '79833600.d.36960._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957699
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 22544760, 101687880, 87178291943], 'label': '79833600.d.36960._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957700
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [160086240, 1260120, 93405312000], 'label': '79833600.d.36960._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957701
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [160086240, 93405312000, 1260136], 'label': '79833600.d.36960._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957702
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [160086240, 93405312000, 1260143], 'label': '79833600.d.36960._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957703
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [160086240, 93405312000, 1260127], 'label': '79833600.d.36960._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957704
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87179829840, 93405312000, 177120], 'label': '79833600.d.36960._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957705
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87179829856, 93405312000, 177120], 'label': '79833600.d.36960._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957706
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 177120, 87179829863], 'label': '79833600.d.36960._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957707
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [87179829847, 93405312000, 177120], 'label': '79833600.d.36960._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957708
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '1386.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': 1386, 'diagramx': None, 'generators': [39976675200, 856, 16, 83463143, 7, 6749568007, 3628943, 46200, 11543, 1440648847], 'label': '79833600.d.1386.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1386.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1386.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957709
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 39918383, 87178291920, 840, 91445903], 'label': '79833600.d.36960._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957710
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [93405312000, 39918367, 91445887, 87178291920, 840], 'label': '79833600.d.36960._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957711
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [39918360, 93405312000, 87178291920, 840, 91445880], 'label': '79833600.d.36960._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957712
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [91445896, 93405312000, 39918376, 87178291920, 840], 'label': '79833600.d.36960._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957713
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [56280, 369367, 16680, 106378766767, 180624366847, 1134720], 'label': '79833600.d.36960._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957714
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [56280, 106378766783, 369383, 16680, 180624366863, 1134720], 'label': '79833600.d.36960._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957715
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [369376, 56280, 180624366856, 16680, 106378766776, 1134720], 'label': '79833600.d.36960._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957716
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [56280, 180624366840, 369360, 16680, 106378766760, 1134720], 'label': '79833600.d.36960._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957717
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [56280, 998726527, 16680, 367913963647, 1134720], 'label': '79833600.d.36960._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957718
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [367913963663, 56280, 998726543, 16680, 1134720], 'label': '79833600.d.36960._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957719
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [7225107240, 87178654080, 39916920, 93924230400, 174875500800, 479167920, 87178700280, 479001720, 1440], 'label': '79833600.d.1848._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1848.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1848._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957720
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [367913963656, 56280, 998726536, 16680, 1134720], 'label': '79833600.d.36960._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957721
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4620, 'diagramx': None, 'generators': [56280, 998726520, 16680, 367913963640, 1134720], 'label': '79833600.d.36960._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957722
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [91445896, 93405312000, 39918376, 87178291927, 840], 'label': '79833600.d.36960._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957723
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [39918360, 93405312000, 87178291927, 840, 91445880], 'label': '79833600.d.36960._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957724
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [93405312000, 39918383, 87178291943, 840, 91445903], 'label': '79833600.d.36960._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957725
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [93405312000, 39918367, 91445887, 87178291943, 840], 'label': '79833600.d.36960._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957726
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [56280, 16, 999895703, 1134736, 367913963647], 'label': '79833600.d.36960._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957727
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [56280, 16, 1134736, 999895696, 367913963640], 'label': '79833600.d.36960._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957728
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [56280, 23, 1134743, 999895696, 367913963647], 'label': '79833600.d.36960._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957729
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [999895680, 367913963663, 56280, 23, 1134743], 'label': '79833600.d.36960._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957730
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [7225107240, 479167936, 39916936, 1440, 479001736, 87178654096, 174875500800, 93924230400, 87178700296], 'label': '79833600.d.1848._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1848.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1848._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957731
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [999895680, 56280, 7, 1134727, 367913963647], 'label': '79833600.d.36960._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957732
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [367913963663, 56280, 7, 1134727, 999895696], 'label': '79833600.d.36960._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957733
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [222944536, 93405312007, 7787647, 7, 1260136], 'label': '79833600.d.36960._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957734
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [1260120, 93405312007, 7787647, 7, 222944520], 'label': '79833600.d.36960._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957735
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [1260120, 222944536, 93405312000, 16, 7787640], 'label': '79833600.d.36960._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957736
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [93405312000, 16, 222944543, 1260127, 7787640], 'label': '79833600.d.36960._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957737
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [222944536, 23, 93405312023, 1260136, 7787663], 'label': '79833600.d.36960._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957738
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [1260120, 23, 93405312023, 222944520, 7787663], 'label': '79833600.d.36960._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957739
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [91445896, 93405312000, 39918376, 87178291936, 840], 'label': '79833600.d.36960._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957740
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [93405312000, 39918367, 91445887, 87178291936, 840], 'label': '79833600.d.36960._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957741
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [7225107240, 39916943, 1440, 174875500800, 87178654103, 479167943, 93924230400, 479001743, 87178700303], 'label': '79833600.d.1848._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1848.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1848._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957742
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [56280, 998726520, 16687, 367913963647, 1134720], 'label': '79833600.d.36960._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957743
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [56280, 998726536, 16703, 367913963647, 1134720], 'label': '79833600.d.36960._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957744
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [56280, 998726543, 16696, 367913963647, 1134720], 'label': '79833600.d.36960._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957745
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [367913963663, 56280, 16687, 998726536, 1134720], 'label': '79833600.d.36960._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957746
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [367913963663, 56280, 998726520, 16703, 1134720], 'label': '79833600.d.36960._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957747
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9240, 'diagramx': None, 'generators': [367913963656, 56280, 16696, 998726520, 1134720], 'label': '79833600.d.36960._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36960.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36960._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957748
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9900, 'diagramx': None, 'generators': [181074257280, 181062604800, 274467916800, 186810624000, 12472559400], 'label': '79833600.d.39600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957749
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13200, 'diagramx': None, 'generators': [16, 2558304847, 7, 2039921423], 'label': '79833600.d.39600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957750
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 19800, 'diagramx': None, 'generators': [23, 87349580640, 93405312000, 98114423], 'label': '79833600.d.39600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957751
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 19800, 'diagramx': None, 'generators': [23, 93405312000, 87349580656, 98114423], 'label': '79833600.d.39600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957752
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [23, 10080, 13499953920, 12976997880, 167040, 22142183, 279422640, 363600, 840], 'label': '79833600.d.22._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957753
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [7225107240, 39916927, 1440, 87178700287, 479167927, 174875500800, 479001727, 87178654087, 93924230400], 'label': '79833600.d.1848._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1848.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1848._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957754
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 19800, 'diagramx': None, 'generators': [93405312016, 136095247, 16, 7, 280885703], 'label': '79833600.d.39600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957755
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 19800, 'diagramx': None, 'generators': [93405312000, 98114407, 87349580656, 7], 'label': '79833600.d.39600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957756
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 19800, 'diagramx': None, 'generators': [87349580640, 93405312000, 98114407, 7], 'label': '79833600.d.39600._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957757
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 19800, 'diagramx': None, 'generators': [93405312016, 98114400, 16, 87349580656], 'label': '79833600.d.39600._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957758
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 19800, 'diagramx': None, 'generators': [93405312016, 98114400, 16, 87349580663], 'label': '79833600.d.39600._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957759
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39600, 'diagramx': None, 'generators': [6249243727, 181062604823, 16, 7, 267769647376, 181077972607, 274467916807, 186810624007], 'label': '79833600.d.39600._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957760
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39600, 'diagramx': None, 'generators': [93405312016, 22186936, 16, 207653040, 7], 'label': '79833600.d.39600._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957761
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39600, 'diagramx': None, 'generators': [93405312016, 302001856, 182610856, 208304783, 295551503, 7, 16, 247299143], 'label': '79833600.d.39600._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39600.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39600._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957762
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [87657292800, 5167447, 479041927, 16, 7, 87657333263], 'label': '79833600.d.41580._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957763
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6930, 'diagramx': None, 'generators': [274467916800, 186810624000, 16, 87657378600, 7, 4803256], 'label': '79833600.d.41580._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957764
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [16, 274468804680, 12973403640], 'label': '79833600.d.1848._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1848.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1848._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957765
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [13412044807, 19678982407, 19726974840, 13499953920], 'label': '79833600.d.41580._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957766
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [19726974840, 19678982400, 13499953920, 13412044800], 'label': '79833600.d.41580._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957767
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [19726974840, 13499953920, 19678982423, 13412044823], 'label': '79833600.d.41580._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957768
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [19726974840, 13499953920, 19678982416, 13412044816], 'label': '79833600.d.41580._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957769
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [6227025856, 19639872136, 39916936, 6227020920, 60002587456, 16, 363000], 'label': '79833600.d.41580._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957770
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [23, 6227020943, 6227025840, 39916943, 19639872143, 363000, 60002587463], 'label': '79833600.d.41580._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957771
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10395, 'diagramx': None, 'generators': [39916927, 6227025840, 363000, 19639872127, 7, 6227020927, 60002587447], 'label': '79833600.d.41580._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957772
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [274467916800, 479041927, 186810624000, 16, 5167440, 186810664440], 'label': '79833600.d.41580._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957773
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [479041927, 16, 186810664447, 5167440, 274467916807, 186810624007], 'label': '79833600.d.41580._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957774
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [186810624000, 274467916800, 186810664447, 16, 479041927, 5167447], 'label': '79833600.d.41580._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957775
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [23, 274468804680, 12973403663], 'label': '79833600.d.1848._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1848.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1848._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957776
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [186810664440, 274467916807, 186810624007, 16, 479041927, 5167447], 'label': '79833600.d.41580._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957777
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [5167447, 16, 479041920, 274467916807, 186810664440, 186810624007], 'label': '79833600.d.41580._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957778
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [186810624000, 274467916800, 186810664447, 16, 479041920, 5167447], 'label': '79833600.d.41580._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957779
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [16, 186810664447, 5167440, 479041920, 274467916807, 186810624007], 'label': '79833600.d.41580._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957780
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [274467916800, 186810624000, 16, 5167440, 479041920, 186810664440], 'label': '79833600.d.41580._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957781
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [23, 5167463, 274467916800, 479041927, 186810624000, 186810664440], 'label': '79833600.d.41580._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957782
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [23, 5167463, 186810664456, 479041927, 274467916816, 186810624016], 'label': '79833600.d.41580._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957783
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [23, 186810624000, 274467916800, 186810664456, 479041927, 5167447], 'label': '79833600.d.41580._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957784
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [23, 5167447, 479041927, 274467916816, 186810624016, 186810664440], 'label': '79833600.d.41580._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957785
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [23, 5167447, 479041943, 274467916816, 186810624016, 186810664440], 'label': '79833600.d.41580._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957786
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 462, 'diagramx': None, 'generators': [274468804680, 7, 12973403647], 'label': '79833600.d.1848._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1848.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1848._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957787
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [23, 274467916800, 186810664456, 5167447, 186810624000, 479041943], 'label': '79833600.d.41580._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957788
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [23, 5167463, 186810664456, 479041943, 274467916816, 186810624016], 'label': '79833600.d.41580._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957789
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [23, 5167463, 274467916800, 186810624000, 479041943, 186810664440], 'label': '79833600.d.41580._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957790
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [274467916800, 5167447, 479041927, 186810624000, 7, 186810664440], 'label': '79833600.d.41580._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957791
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [186810664456, 5167447, 479041927, 7, 274467916816, 186810624016], 'label': '79833600.d.41580._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957792
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [186810624000, 5167463, 274467916800, 7, 186810664456, 479041927], 'label': '79833600.d.41580._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957793
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [5167463, 479041927, 7, 274467916816, 186810624016, 186810664440], 'label': '79833600.d.41580._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957794
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [5167463, 7, 479041943, 274467916816, 186810624016, 186810664440], 'label': '79833600.d.41580._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957795
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [5167463, 274467916800, 186810664456, 186810624000, 7, 479041943], 'label': '79833600.d.41580._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957796
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [186810664456, 5167447, 7, 479041943, 274467916816, 186810624016], 'label': '79833600.d.41580._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957797
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [303182767, 7, 245026087], 'label': '79833600.d.1980._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957798
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [274467916800, 5167447, 186810624000, 7, 479041943, 186810664440], 'label': '79833600.d.41580._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957799
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [87657292800, 5167447, 16, 7, 87657333263, 273988955543], 'label': '79833600.d.41580._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957800
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [87657292800, 16, 274473084240, 7, 273988955543, 186810664440], 'label': '79833600.d.41580._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957801
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [87657292800, 479041927, 16, 274473084240, 7, 186810664440], 'label': '79833600.d.41580._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957802
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [12944817496, 274467916800, 186810624000, 16, 93887942407, 7], 'label': '79833600.d.41580._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957803
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 20790, 'diagramx': None, 'generators': [274467916800, 479041927, 186810624000, 16, 7, 186832805167, 1861320], 'label': '79833600.d.41580._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957804
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 41580, 'diagramx': None, 'generators': [274467916800, 479041927, 186810624000, 100131022223, 100131384960, 100133193623, 7, 16, 181062604800], 'label': '79833600.d.41580._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957805
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 41580, 'diagramx': None, 'generators': [1574056, 361686141487, 16687, 105899276903, 274030737847, 7, 16, 378847, 887887], 'label': '79833600.d.41580._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957806
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 41580, 'diagramx': None, 'generators': [6230821816, 274467916800, 186810624000, 16, 7, 268245265816], 'label': '79833600.d.41580._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '41580.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41580._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957807
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '44352.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': 2772, 'diagramx': None, 'generators': [194037380760, 1508400, 261574790400], 'label': '79833600.d.44352.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44352.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44352.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957808
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [16, 245026080, 303182760], 'label': '79833600.d.1980._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957809
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [137520, 14933640, 243901440, 93405312000, 124836480, 44725103, 6600, 22186920, 243498240], 'label': '79833600.d.46200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957810
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [243498256, 243901440, 93405312000, 16, 6607, 22186943, 7, 14933656, 124836496], 'label': '79833600.d.46200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957811
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [243498256, 243901440, 22186936, 93405312000, 16, 6600, 137536, 14933656, 124836496], 'label': '79833600.d.46200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957812
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [243498256, 243901440, 137543, 22186936, 93405312000, 16, 6600, 14933656, 124836496], 'label': '79833600.d.46200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957813
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [23, 124836480, 243901440, 243498240, 14933640, 22186943, 137536, 93405312000, 6623], 'label': '79833600.d.46200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957814
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [23, 124836480, 243901440, 243498240, 14933640, 137520, 22186943, 93405312000, 6623], 'label': '79833600.d.46200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957815
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [22186927, 14933640, 243901440, 93405312000, 6607, 124836480, 7, 137536, 243498240], 'label': '79833600.d.46200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957816
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [22186927, 124836480, 243901440, 243498240, 14933640, 137520, 6607, 93405312000, 7], 'label': '79833600.d.46200._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957817
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [782040, 14933640, 93405312000, 87178307160, 18638640, 7621200, 7706160, 165191880, 83478360], 'label': '79833600.d.46200._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957818
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [782040, 14933640, 93405312000, 18638640, 7621200, 87178307176, 7706160, 165191880, 83478360], 'label': '79833600.d.46200._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957819
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 165, 'diagramx': None, 'generators': [23, 245026103, 303182783], 'label': '79833600.d.1980._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957820
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [782040, 14933640, 93405312000, 18638640, 7621200, 87178307183, 7706160, 165191880, 83478360], 'label': '79833600.d.46200._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957821
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [782040, 14933640, 93405312000, 18638640, 7621200, 7706160, 165191880, 87178307167, 83478360], 'label': '79833600.d.46200._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957822
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [782040, 14933640, 93405312000, 18638640, 7621200, 7706160, 87417969847, 165191880, 83478360], 'label': '79833600.d.46200._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957823
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [87417969863, 782040, 14933640, 93405312000, 18638640, 7621200, 7706160, 165191880, 83478360], 'label': '79833600.d.46200._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957824
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [782040, 14933640, 93405312000, 18638640, 7621200, 87417969856, 7706160, 165191880, 83478360], 'label': '79833600.d.46200._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957825
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [782040, 14933640, 93405312000, 87417969840, 18638640, 7621200, 7706160, 165191880, 83478360], 'label': '79833600.d.46200._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957826
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [137520, 14933640, 243901440, 93405312000, 124836480, 6600, 44725096, 22186920, 243498240], 'label': '79833600.d.46200._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957827
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [137520, 14933640, 243901440, 93405312000, 124836480, 6600, 44725080, 22186920, 243498240], 'label': '79833600.d.46200._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957828
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5775, 'diagramx': None, 'generators': [137520, 14933640, 243901440, 93405312000, 124836480, 6600, 22186920, 44725087, 243498240], 'label': '79833600.d.46200._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957829
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [14933640, 243901440, 93405312000, 124836480, 6600, 137536, 22186920, 44725087, 243498240], 'label': '79833600.d.46200._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957830
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 330, 'diagramx': None, 'generators': [274467916800, 16, 7257607, 7, 12097560, 186810624007], 'label': '79833600.d.1980._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957831
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [243498256, 243901440, 22186936, 93405312000, 16, 6600, 44725096, 14933656, 124836496], 'label': '79833600.d.46200._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957832
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [243498256, 243901440, 22186936, 93405312000, 16, 44725103, 6600, 14933656, 124836496], 'label': '79833600.d.46200._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957833
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [23, 124836480, 44725096, 243901440, 243498240, 14933640, 22186943, 93405312000, 6623], 'label': '79833600.d.46200._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957834
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [23, 124836480, 243901440, 243498240, 14933640, 22186943, 44725080, 93405312000, 6623], 'label': '79833600.d.46200._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957835
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [782040, 93405312000, 18638640, 7621200, 14933656, 7706160, 165191880, 87178307167, 83478360], 'label': '79833600.d.46200._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957836
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [782040, 93405312000, 18638640, 7621200, 87178307176, 14933656, 7706160, 165191880, 83478360], 'label': '79833600.d.46200._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957837
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [782040, 93405312000, 14933647, 18638640, 7621200, 7706160, 165191880, 87178307167, 83478360], 'label': '79833600.d.46200._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957838
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [782040, 93405312000, 14933647, 18638640, 7621200, 87178307183, 7706160, 165191880, 83478360], 'label': '79833600.d.46200._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957839
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [782040, 93405312000, 87178307160, 18638640, 7621200, 7706160, 165191880, 14933663, 83478360], 'label': '79833600.d.46200._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957840
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [782040, 93405312000, 18638640, 7621200, 87178307176, 7706160, 165191880, 14933663, 83478360], 'label': '79833600.d.46200._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957841
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 495, 'diagramx': None, 'generators': [6266937607, 87240, 283415160, 5160, 14883120, 6270975487, 18553080, 840, 50520], 'label': '79833600.d.1980._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957842
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [22186927, 14933640, 243901440, 93405312000, 6607, 124836480, 7, 44725096, 243498240], 'label': '79833600.d.46200._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957843
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [22186927, 14933640, 243901440, 93405312000, 6607, 124836480, 7, 44725080, 243498240], 'label': '79833600.d.46200._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957844
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [87178307167, 165191896, 7706160, 83478360, 18638640, 93405312000, 16, 782056, 7621200], 'label': '79833600.d.46200._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957845
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [165191896, 7706160, 87178307160, 83478360, 18638640, 93405312000, 16, 782056, 7621200], 'label': '79833600.d.46200._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957846
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [782040, 23, 93405312000, 7621200, 7706160, 165191880, 83478383, 18638663, 87178307167], 'label': '79833600.d.46200._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957847
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [782040, 23, 93405312000, 7621200, 87178307183, 7706160, 165191880, 83478383, 18638663], 'label': '79833600.d.46200._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957848
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [782040, 18638647, 93405312000, 7621200, 7, 7706160, 165191880, 83478367, 87178307167], 'label': '79833600.d.46200._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957849
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [782040, 18638647, 93405312000, 7621200, 7, 87178307183, 7706160, 165191880, 83478367], 'label': '79833600.d.46200._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957850
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [14933640, 243901440, 93405312000, 124836480, 6600, 137536, 44725096, 22186920, 243498240], 'label': '79833600.d.46200._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957851
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [14933640, 243901440, 93405312000, 124836480, 6600, 44725096, 22186920, 243498240, 137527], 'label': '79833600.d.46200._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957852
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 495, 'diagramx': None, 'generators': [6266937600, 87240, 283415160, 6270975480, 5160, 14883120, 18553080, 840, 50520], 'label': '79833600.d.1980._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957853
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [14933640, 243901440, 137543, 93405312000, 124836480, 6600, 44725096, 22186920, 243498240], 'label': '79833600.d.46200._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957854
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [14933640, 243901440, 137543, 93405312000, 124836480, 6600, 44725080, 22186920, 243498240], 'label': '79833600.d.46200._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957855
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11550, 'diagramx': None, 'generators': [14933640, 243901440, 93405312000, 124836480, 6600, 44725080, 22186920, 243498240, 137527], 'label': '79833600.d.46200._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957856
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [180605785080, 274486918447, 181062604807, 186810624000, 181082251560, 7, 274467916807, 180599746327, 93405675007], 'label': '79833600.d.46200._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957857
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [93405312000, 16, 7, 87179425207, 87178458383, 1134727, 283415176, 1139063, 1502647], 'label': '79833600.d.46200._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957858
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [5760, 1871416, 181084423816, 181062604807, 186810624000, 93421011623, 7, 16, 274467916807], 'label': '79833600.d.46200._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957859
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [93405675023, 274486918447, 181062604807, 186810624000, 181082251560, 7, 274467916807, 16, 180599746327], 'label': '79833600.d.46200._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957860
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [93405675016, 274486918440, 180605785096, 186810624000, 181082251560, 274467916800, 16, 181062604800, 180599746327], 'label': '79833600.d.46200._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957861
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [93405675016, 274486918440, 180605785096, 186810624000, 181082251560, 180599746320, 274467916800, 16, 181062604800], 'label': '79833600.d.46200._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957862
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [181062604800, 93405675016, 274467916800, 186810624000, 16, 180599746320, 181082251560, 274486918440, 180605785103], 'label': '79833600.d.46200._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957863
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [22142167, 10080, 13499953920, 12976997880, 167040, 7, 279422640, 363600, 840], 'label': '79833600.d.22._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957864
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 495, 'diagramx': None, 'generators': [283415160, 87240, 6270975496, 50520, 6266937616, 18553080, 5160, 14883120, 840], 'label': '79833600.d.1980._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957865
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [93405675016, 274486918440, 180605785103, 186810624000, 181082251560, 274467916800, 16, 181062604800, 180599746327], 'label': '79833600.d.46200._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957866
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [181062604823, 23, 274467916823, 93405675023, 180605785096, 186810624000, 181082251560, 274486918463, 180599746327], 'label': '79833600.d.46200._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957867
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [181062604823, 23, 274467916823, 93405675023, 180605785096, 186810624000, 181082251560, 274486918463, 180599746343], 'label': '79833600.d.46200._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957868
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [181062604823, 23, 186810624000, 180605785080, 180599746343, 181082251560, 274486918463, 274467916823, 93405675023], 'label': '79833600.d.46200._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957869
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [181062604823, 23, 186810624000, 180605785080, 180599746327, 181082251560, 274486918463, 274467916823, 93405675023], 'label': '79833600.d.46200._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957870
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [180605785096, 274486918447, 181062604807, 186810624000, 181082251560, 7, 274467916807, 180599746327, 93405675007], 'label': '79833600.d.46200._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957871
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [180605785096, 274486918447, 181062604807, 186810624000, 181082251560, 7, 180599746343, 274467916807, 93405675007], 'label': '79833600.d.46200._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957872
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23100, 'diagramx': None, 'generators': [180605785080, 274486918447, 181062604807, 186810624000, 181082251560, 7, 180599746343, 274467916807, 93405675007], 'label': '79833600.d.46200._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957873
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46200, 'diagramx': None, 'generators': [87179057280, 93405312000, 87219745920, 177811920, 16, 171319703, 7, 87178292783, 170680336], 'label': '79833600.d.46200._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957874
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46200, 'diagramx': None, 'generators': [1568866336, 404656, 142416736, 143383816, 16, 519322440, 88432168343, 7], 'label': '79833600.d.46200._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46200.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46200._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957875
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 495, 'diagramx': None, 'generators': [6270975503, 6266937623, 283415160, 87240, 50520, 18553080, 5160, 14883120, 840], 'label': '79833600.d.1980._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957876
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '49896.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': 49896, 'diagramx': None, 'generators': [81503, 167887, 13491878416, 16, 961758127, 7, 1520635096, 40535673256], 'label': '79833600.d.49896.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '49896.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '49896.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957877
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 51975, 'diagramx': None, 'generators': [87227416200, 766207, 87178291327, 16, 14923583, 7, 18553687, 124104976, 93405312023, 83502727], 'label': '79833600.d.51975._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '51975.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '51975._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957878
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 51975, 'diagramx': None, 'generators': [14923583, 211977383, 135359407, 87178291327, 766207, 7, 16, 1508407, 178981927, 5136496], 'label': '79833600.d.51975._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '51975.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '51975._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957879
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '52800.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': 13200, 'diagramx': None, 'generators': [2413959240, 2560168800], 'label': '79833600.d.52800.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52800.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957880
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [16, 7], 'label': '79833600.d.19958400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19958400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19958400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957881
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [7], 'label': '79833600.d.39916800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39916800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39916800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957882
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [16], 'label': '79833600.d.39916800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39916800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39916800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957883
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [23], 'label': '79833600.d.39916800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39916800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39916800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957884
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': '79833600.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': '79833600.d.79833600.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '79833600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '79833600.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957885
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [16, 93896295120, 7, 93887942416, 186810624007], 'label': '79833600.d.1980._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957886
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274467916800, 186810624000, 16, 93896295120, 93887942416], 'label': '79833600.d.1980._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957887
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [274467916800, 93887942423, 186810624000, 16, 93896295127], 'label': '79833600.d.1980._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957888
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [93887942423, 186810624000, 16, 274467916807, 93896295127], 'label': '79833600.d.1980._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957889
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [186810624000, 16, 93896295120, 274467916807, 93887942416], 'label': '79833600.d.1980._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957890
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [23, 274467916800, 93896295120, 93887942400, 186810624023], 'label': '79833600.d.1980._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957891
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [23, 274467916800, 93896295136, 186810624023, 93887942416], 'label': '79833600.d.1980._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59957892
    {'ambient': '79833600.d', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 990, 'diagramx': None, 'generators': [23, 274467916816, 93896295136, 186810624023, 93887942416], 'label': '79833600.d.1980._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1980.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1980._.P', 'subgroup_fusion': None, 'weyl_group': None}