Abstract group data - 60466176.ev

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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': '8.5', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 6, 'aut_exponent': 48, 'aut_gen_orders': [12, 6, 16, 6], 'aut_gens': [[222819609601380350212593280472274321353496, 116697813263129519026102819505413088596120, 97230350459709116829441673389686088044453], [287208879057318914223137934313147973934099, 149173972361772859074863765432144440457046, 96960928355139479921487155617708146405692], [213641629881892502608517086602817675496873, 126770996989760926306688861146962129599294, 137408331622184827227916249155072217450305], [309108715651852513358906303823514425231066, 180521283989540870724743951233623235864306, 106712286083482194410236566020871516454424], [298471379949881101723314387570647938026201, 149486810249223555343130452343208600916120, 138848973767534327087798254399297081808196]], 'aut_group': '241864704.v', 'aut_hash': 7584333629881086693, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 241864704, 'aut_permdeg': 7992, 'aut_perms': 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1, 1], [6, 15552, 1, 1], [6, 15552, 2, 1], [6, 20736, 1, 1], [6, 20736, 2, 1], [6, 23328, 2, 1], [6, 31104, 2, 6], [6, 31104, 4, 1], [6, 34992, 2, 1], [6, 41472, 1, 1], [6, 46656, 1, 1], [6, 46656, 2, 6], [6, 62208, 1, 3], [6, 62208, 2, 6], [6, 69984, 1, 1], [6, 93312, 1, 6], [6, 93312, 2, 4], [6, 104976, 1, 1], [6, 124416, 2, 3], [6, 139968, 1, 1], [6, 186624, 1, 1], [6, 186624, 2, 10], [6, 279936, 2, 2], [6, 373248, 1, 2], [6, 373248, 2, 1], [6, 419904, 1, 1], [6, 559872, 1, 1], [6, 559872, 4, 1], [6, 1119744, 2, 1], [8, 972, 1, 2], [8, 8748, 2, 2], [8, 78732, 1, 2], [8, 104976, 1, 2], [8, 104976, 2, 1], [8, 236196, 1, 2], [8, 236196, 2, 1], [8, 472392, 1, 4], [8, 472392, 2, 1], [8, 1889568, 2, 1], [12, 7776, 2, 1], [12, 15552, 1, 1], [12, 46656, 1, 1], [12, 69984, 1, 1], [12, 69984, 2, 1], [12, 139968, 2, 1], [12, 209952, 2, 3], [12, 279936, 1, 1], [12, 419904, 1, 2], [12, 419904, 2, 1], [12, 629856, 1, 1], [12, 839808, 4, 1], [12, 1679616, 2, 1], [12, 2519424, 2, 1], [16, 1889568, 2, 2], [24, 7776, 2, 2], [24, 15552, 1, 2], [24, 46656, 1, 2], [24, 69984, 1, 2], [24, 69984, 2, 2], [24, 139968, 2, 2], [24, 209952, 2, 6], [24, 279936, 1, 2], [24, 419904, 1, 2], [24, 419904, 2, 3], [24, 629856, 1, 2]], 'aut_supersolvable': False, 'aut_tex': 'C_3^8:C_2^3.S_4^2:D_4', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 48, 'autcentquo_group': '241864704.v', 'autcentquo_hash': 7584333629881086693, 'autcentquo_nilpotent': False, 'autcentquo_order': 241864704, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^8:C_2^3.S_4^2:D_4', 'cc_stats': [[1, 1, 1], [2, 81, 2], [2, 162, 2], [2, 216, 1], [2, 1944, 2], [2, 3888, 2], [2, 6561, 1], [2, 11664, 2], [2, 17496, 1], [3, 16, 2], [3, 32, 1], [3, 64, 2], [3, 96, 1], [3, 128, 3], [3, 144, 1], [3, 256, 2], [3, 288, 2], [3, 576, 1], [3, 768, 2], [3, 1152, 2], [3, 1536, 1], [3, 2304, 6], [3, 4608, 6], [3, 5184, 1], [3, 6912, 1], [3, 13824, 2], [3, 20736, 4], [3, 27648, 1], [3, 41472, 4], [3, 82944, 2], [4, 972, 1], [4, 8748, 2], [4, 78732, 1], [4, 104976, 2], [4, 236196, 2], [4, 314928, 2], [4, 419904, 2], [6, 432, 2], [6, 864, 1], [6, 1296, 7], [6, 1728, 2], [6, 2592, 1], [6, 3456, 5], [6, 3888, 8], [6, 5184, 2], [6, 6912, 6], [6, 7776, 7], [6, 10368, 4], [6, 11664, 1], [6, 15552, 3], [6, 20736, 3], [6, 23328, 2], [6, 31104, 16], [6, 34992, 2], [6, 41472, 1], [6, 46656, 13], [6, 62208, 15], [6, 69984, 1], [6, 93312, 14], [6, 104976, 1], [6, 124416, 6], [6, 139968, 1], [6, 186624, 21], [6, 279936, 4], [6, 373248, 4], [6, 419904, 1], [6, 559872, 5], [6, 1119744, 2], [8, 972, 2], [8, 8748, 4], [8, 78732, 2], [8, 104976, 4], [8, 236196, 4], [8, 472392, 6], [8, 1889568, 2], [12, 7776, 2], [12, 15552, 1], [12, 46656, 1], [12, 69984, 3], [12, 139968, 2], [12, 209952, 6], [12, 279936, 1], [12, 419904, 4], [12, 629856, 1], [12, 839808, 4], [12, 1679616, 2], [12, 2519424, 2], [16, 1889568, 4], [24, 7776, 4], [24, 15552, 2], [24, 46656, 2], [24, 69984, 6], [24, 139968, 4], [24, 209952, 12], [24, 279936, 2], [24, 419904, 8], [24, 629856, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '60466176.ev', 'commutator_count': 1, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 20, 'conjugacy_classes_known': True, 'counter': 126, 'cyclic': False, 'derived_length': 6, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 2], [2, 162, 1, 2], [2, 216, 1, 1], [2, 1944, 1, 2], [2, 3888, 1, 2], [2, 6561, 1, 1], [2, 11664, 1, 2], [2, 17496, 1, 1], [3, 16, 1, 2], [3, 32, 1, 1], [3, 64, 1, 2], [3, 96, 1, 1], [3, 128, 1, 3], [3, 144, 1, 1], [3, 256, 1, 2], [3, 288, 1, 2], [3, 576, 1, 1], [3, 768, 1, 2], [3, 1152, 1, 2], [3, 1536, 1, 1], [3, 2304, 1, 6], [3, 4608, 1, 6], [3, 5184, 1, 1], [3, 6912, 1, 1], [3, 13824, 1, 2], [3, 20736, 1, 4], [3, 27648, 1, 1], [3, 41472, 1, 4], [3, 82944, 1, 2], [4, 972, 1, 1], [4, 8748, 1, 2], [4, 78732, 1, 1], [4, 104976, 1, 2], [4, 236196, 1, 2], [4, 314928, 1, 2], [4, 419904, 1, 2], [6, 432, 1, 2], [6, 864, 1, 1], [6, 1296, 1, 7], [6, 1728, 1, 2], [6, 2592, 1, 1], [6, 3456, 1, 5], [6, 3888, 1, 8], [6, 5184, 1, 2], [6, 6912, 1, 6], [6, 7776, 1, 7], [6, 10368, 1, 4], [6, 11664, 1, 1], [6, 15552, 1, 3], [6, 20736, 1, 3], [6, 23328, 1, 2], [6, 31104, 1, 16], [6, 34992, 1, 2], [6, 41472, 1, 1], [6, 46656, 1, 13], [6, 62208, 1, 15], [6, 69984, 1, 1], [6, 93312, 1, 14], [6, 104976, 1, 1], [6, 124416, 1, 6], [6, 139968, 1, 1], [6, 186624, 1, 21], [6, 279936, 1, 4], [6, 373248, 1, 4], [6, 419904, 1, 1], [6, 559872, 1, 5], [6, 1119744, 1, 2], [8, 972, 2, 1], [8, 8748, 2, 2], [8, 78732, 2, 1], [8, 104976, 2, 2], [8, 236196, 2, 2], [8, 472392, 1, 2], [8, 472392, 2, 2], [8, 1889568, 1, 2], [12, 7776, 1, 2], [12, 15552, 1, 1], [12, 46656, 1, 1], [12, 69984, 1, 3], [12, 139968, 1, 2], [12, 209952, 1, 6], [12, 279936, 1, 1], [12, 419904, 1, 4], [12, 629856, 1, 1], [12, 839808, 1, 4], [12, 1679616, 1, 2], [12, 2519424, 1, 2], [16, 1889568, 2, 2], [24, 7776, 2, 2], [24, 15552, 2, 1], [24, 46656, 2, 1], [24, 69984, 2, 3], [24, 139968, 2, 2], [24, 209952, 2, 6], [24, 279936, 2, 1], [24, 419904, 2, 4], [24, 629856, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 48, 'exponents_of_order': [10, 10], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[32, 1, 4], [64, 0, 4], [64, 1, 4], [96, 1, 8], [128, 0, 2], [128, 1, 19], [192, 0, 4], [192, 1, 4], [256, 1, 19], [288, 1, 4], [384, 1, 2], [512, 1, 18], [768, 1, 8], [1024, 1, 2], [1536, 1, 6], [2304, 1, 4], [3072, 1, 1]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '60466176.ev', 'hash': 1367192784013702559, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 48, 'inner_gen_orders': [12, 6, 4], 'inner_gens': [[222819609601380350212593280472274321353496, 149173972361771605100265606576431966925203, 97543228930846217796876124946309114131959], [265280769617996280026915995829451715773629, 116697813263129519026102819505413088596120, 137981710957297511530111922978384072745893], [244049530991411696005551239076452144833756, 137407287604610921794685986956288359433880, 97230350459709116829441673389686088044453]], 'inner_hash': 1367192784013702559, 'inner_nilpotent': False, 'inner_order': 60466176, 'inner_split': None, 'inner_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'inner_used': [1, 2, 3], 'irrC_degree': 32, 'irrQ_degree': 32, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 8], [2, 2], [4, 24], [6, 8], [8, 10], [9, 8], [12, 12], [16, 26], [18, 2], [24, 4], [32, 36], [48, 16], [64, 44], [96, 16], [128, 29], [192, 8], [256, 35], [288, 4], [384, 2], [512, 18], [768, 8], [1024, 2], [1536, 6], [2304, 4], [3072, 1]], 'label': '60466176.ev', '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': None, 'name': 'C3^8:C2^3.S4wrC2', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 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, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 7, 0, 7, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 207, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 333, 'number_divisions': 300, 'number_normal_subgroups': 34, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 60466176, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 59751], [3, 531440], [4, 2249208], [6, 16887312], [8, 8172576], [12, 16174080], [16, 7558272], [24, 8833536]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [42540659234167819836911318434013154290064, 97543228930846635384451416506945153444826], 'outer_gens': [[213641629881892502608517086602817675496873, 126770996989760926306688861146962129599294, 137408331622184827227916249155072217450305], [287208879057318914223137934313147973934099, 149173972361772859074863765432144440457046, 96960928355139479921487155617708146405692]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [16, 7], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 8], [2, 2], [4, 8], [6, 8], [8, 14], [9, 8], [12, 4], [16, 24], [18, 2], [24, 8], [32, 22], [48, 16], [64, 40], [96, 16], [128, 33], [192, 4], [256, 36], [288, 4], [384, 4], [512, 18], [768, 8], [1024, 2], [1536, 6], [2304, 4], [3072, 1]], 'representations': {'PC': {'code': '1454603635616177113005173519290108820391766430170881026027375863652606206079691730978011248183195896184445907498092504694324252020608525956760274246277634268658770678846502074412912101566137343083550697053752218014671436175807033561899222487636889855433754459678343877998825702835755422326315313903262575959210555628201682918755466009503427433969452894430382854233290699268742707468430245111571072400106178438026362342951171425977802269091463226333113326966353813780552235557326498258315964518531096247621241682036393246038268748197099467123577975483070880515608283400052767528891296757463472422367341966688601831431146531953731561154779074022752883556501049829778324495707861913922773108030280844169499808930449086993016644256767777530594559595660017610292113913717024666809726630671986510613801820014114308675090192574942182480158767394658555531706761529180376770422377566076073629438789434586854739797210918643232475036103999598829576534663209248122869700511676597080396394245626133753144006889342947242130105099676214085590284572399192891888929273863308117088222574744728638496874671709033531387549338754050108425872059546378631035750227398650129560917985349652822050456544269287696835373754589230495374774124184299973772330543391359', 'gens': [1, 2, 4, 6, 8, 10, 12, 15, 16, 17, 18, 19, 20], 'pres': [20, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 1041160640, 986969841, 101, 43067762, 639152682, 2628334723, 1185653463, 882363723, 223, 3843520004, 2126065624, 751536844, 5519729285, 3482339545, 420675885, 237631025, 250088485, 345, 1738952326, 766511226, 1482109486, 867930066, 117543806, 6539526, 3254722567, 3978270747, 62121647, 60932227, 22675767, 7613867, 8763487, 467, 8980346888, 832343068, 137090928, 118208228, 50887528, 14059548, 4282328, 976608009, 1747828829, 2990534449, 1477699269, 123840089, 45657709, 80234529, 530549, 2169, 589, 639809290, 964656030, 555160370, 296905030, 306662490, 96645230, 21774850, 1193430, 17770, 4170, 9678562571, 3225536671, 1786199091, 752060231, 807788251, 260484591, 50950211, 1922071, 14571, 10271, 711, 5824016652, 7480287392, 608325172, 377095752, 409780892, 134646832, 25796292, 4045752, 31372, 772, 11287019533, 4075868193, 3870773, 157328713, 39271773, 13251953, 161413, 2181913, 27053, 240537614, 904780834, 2195942474, 4665694, 2592114, 1555334, 151394, 21814, 29034, 3854, 244039695, 599777315, 46448695, 812851275, 13271135, 1106035, 1935495, 184515, 69335, 19435, 11775, 13762068496, 10011340836, 126904376, 126904396, 47589216, 21150836, 5287816, 2643996, 881456, 21200486417, 3314442277, 268738617, 67184717, 134369377, 39191157, 16796297, 1866397, 2799537, 12052408338, 2180920358, 3545856058, 992839758, 1294237538, 348675958, 132969738, 12804638, 7387378, 18468198, 2585738, 2585758, 431178, 11059219, 910080039, 2911334479, 223948899, 410572919, 74649739, 13219399, 6998619, 3369839, 1166659]}, 'Perm': {'d': 36, 'gens': [222819609601380350212593280472274321353496, 116697813263129519026102819505413088596120, 97230350459709116829441673389686088044453]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 96, 'supersolvable': False, 'sylow_subgroups_known': False, 'tex_name': 'C_3^8:C_2^3.S_4\\wr C_2', 'transitive_degree': 36, '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

  
  Showing the first 100 of 333 matching records in this table.
  • id: 164849567
    {'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 126, 'group_order': 60466176, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 164849678
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 126, 'group_order': 60466176, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 96960928355139479921487157438258668260826, 'size': 81}
  • id: 164849789
    {'aut_label': '2A', 'centralizer': None, 'counter': 3, 'group_counter': 126, 'group_order': 60466176, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 97543228930846217796876124548968149637599, 'size': 81}
  • id: 164849834
    {'aut_label': '2C', 'centralizer': None, 'counter': 4, 'group_counter': 126, 'group_order': 60466176, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 21210673483915, 'size': 162}
  • id: 164849845
    {'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 126, 'group_order': 60466176, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 96960928355139479921487156412967678597599, 'size': 162}
  • id: 164849856
    {'aut_label': '2E', 'centralizer': None, 'counter': 6, 'group_counter': 126, 'group_order': 60466176, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 456053257212, 'size': 216}
  • id: 164849867
    {'aut_label': '2F', 'centralizer': None, 'counter': 7, 'group_counter': 126, 'group_order': 60466176, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 127648028506096473096779921630721007939039, 'size': 1944}
  • id: 164849878
    {'aut_label': '2F', 'centralizer': None, 'counter': 8, 'group_counter': 126, 'group_order': 60466176, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 127648028506096473096779921690792123208666, 'size': 1944}
  • id: 164849889
    {'aut_label': '2H', 'centralizer': None, 'counter': 9, 'group_counter': 126, 'group_order': 60466176, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 264413226735501648971326531101524193886079, 'size': 3888}
  • id: 164849568
    {'aut_label': '2H', 'centralizer': None, 'counter': 10, 'group_counter': 126, 'group_order': 60466176, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 339203803541829972146378335111876209732913, 'size': 3888}
  • id: 164849579
    {'aut_label': '2J', 'centralizer': None, 'counter': 11, 'group_counter': 126, 'group_order': 60466176, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 32206433271317232932808417248126220377789, 'size': 6561}
  • id: 164849590
    {'aut_label': '2K', 'centralizer': None, 'counter': 12, 'group_counter': 126, 'group_order': 60466176, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 106711752111790255318459873880526018176029, 'size': 11664}
  • id: 164849601
    {'aut_label': '2L', 'centralizer': None, 'counter': 13, 'group_counter': 126, 'group_order': 60466176, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 20962063234312938390056995408887629769001, 'size': 11664}
  • id: 164849612
    {'aut_label': '2M', 'centralizer': None, 'counter': 14, 'group_counter': 126, 'group_order': 60466176, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 10333411106067711461019975407062613458682, 'size': 17496}
  • id: 164849623
    {'aut_label': '3A', 'centralizer': None, 'counter': 15, 'group_counter': 126, 'group_order': 60466176, 'label': '3A', 'order': 3, 'powers': [15, 1], 'representative': 711549292746690, 'size': 16}
  • id: 164849634
    {'aut_label': '3A', 'centralizer': None, 'counter': 16, 'group_counter': 126, 'group_order': 60466176, 'label': '3B', 'order': 3, 'powers': [16, 1], 'representative': 711549292884480, 'size': 16}
  • id: 164849645
    {'aut_label': '3C', 'centralizer': None, 'counter': 17, 'group_counter': 126, 'group_order': 60466176, 'label': '3C', 'order': 3, 'powers': [17, 1], 'representative': 276480, 'size': 32}
  • id: 164849656
    {'aut_label': '3D', 'centralizer': None, 'counter': 18, 'group_counter': 126, 'group_order': 60466176, 'label': '3D', 'order': 3, 'powers': [18, 1], 'representative': 20666822212132616602240213701266026698690, 'size': 64}
  • id: 164849667
    {'aut_label': '3D', 'centralizer': None, 'counter': 19, 'group_counter': 126, 'group_order': 60466176, 'label': '3E', 'order': 3, 'powers': [19, 1], 'representative': 20666822212131746218944234460850622804480, 'size': 64}
  • id: 164849679
    {'aut_label': '3F', 'centralizer': None, 'counter': 20, 'group_counter': 126, 'group_order': 60466176, 'label': '3F', 'order': 3, 'powers': [20, 1], 'representative': 10628652128248406109968412656179617792000, 'size': 96}
  • id: 164849690
    {'aut_label': '3G', 'centralizer': None, 'counter': 21, 'group_counter': 126, 'group_order': 60466176, 'label': '3G', 'order': 3, 'powers': [21, 1], 'representative': 20666822212132616602240213701266026836480, 'size': 128}
  • id: 164849701
    {'aut_label': '3H', 'centralizer': None, 'counter': 22, 'group_counter': 126, 'group_order': 60466176, 'label': '3H', 'order': 3, 'powers': [22, 1], 'representative': 806634631152493057474836480, 'size': 128}
  • id: 164849712
    {'aut_label': '3H', 'centralizer': None, 'counter': 23, 'group_counter': 126, 'group_order': 60466176, 'label': '3I', 'order': 3, 'powers': [23, 1], 'representative': 806634631153204606767168000, 'size': 128}
  • id: 164849723
    {'aut_label': '3J', 'centralizer': None, 'counter': 24, 'group_counter': 126, 'group_order': 60466176, 'label': '3J', 'order': 3, 'powers': [24, 1], 'representative': 93485178983, 'size': 144}
  • id: 164849734
    {'aut_label': '3K', 'centralizer': None, 'counter': 25, 'group_counter': 126, 'group_order': 60466176, 'label': '3K', 'order': 3, 'powers': [25, 1], 'representative': 806634631153204606767306690, 'size': 256}
  • id: 164849745
    {'aut_label': '3K', 'centralizer': None, 'counter': 26, 'group_counter': 126, 'group_order': 60466176, 'label': '3L', 'order': 3, 'powers': [26, 1], 'representative': 806634631153204606767444480, 'size': 256}
  • id: 164849756
    {'aut_label': '3M', 'centralizer': None, 'counter': 27, 'group_counter': 126, 'group_order': 60466176, 'label': '3M', 'order': 3, 'powers': [27, 1], 'representative': 11549634734569263982563811947101724672000, 'size': 288}
  • id: 164849767
    {'aut_label': '3M', 'centralizer': None, 'counter': 28, 'group_counter': 126, 'group_order': 60466176, 'label': '3N', 'order': 3, 'powers': [28, 1], 'representative': 12131935310275896280561865385304227840000, 'size': 288}
  • id: 164849778
    {'aut_label': '3O', 'centralizer': None, 'counter': 29, 'group_counter': 126, 'group_order': 60466176, 'label': '3O', 'order': 3, 'powers': [29, 1], 'representative': 711374899912393, 'size': 576}
  • id: 164849790
    {'aut_label': '3P', 'centralizer': None, 'counter': 30, 'group_counter': 126, 'group_order': 60466176, 'label': '3P', 'order': 3, 'powers': [30, 1], 'representative': 20666822212130487868504194224764719306690, 'size': 768}
  • id: 164849801
    {'aut_label': '3P', 'centralizer': None, 'counter': 31, 'group_counter': 126, 'group_order': 60466176, 'label': '3Q', 'order': 3, 'powers': [31, 1], 'representative': 20666822212130487868504194224764719444480, 'size': 768}
  • id: 164849812
    {'aut_label': '3R', 'centralizer': None, 'counter': 32, 'group_counter': 126, 'group_order': 60466176, 'label': '3R', 'order': 3, 'powers': [32, 1], 'representative': 271371359145493634904012795785556480, 'size': 1152}
  • id: 164849823
    {'aut_label': '3R', 'centralizer': None, 'counter': 33, 'group_counter': 126, 'group_order': 60466176, 'label': '3S', 'order': 3, 'powers': [33, 1], 'representative': 271371359145493634904012795785418690, 'size': 1152}
  • id: 164849828
    {'aut_label': '3T', 'centralizer': None, 'counter': 34, 'group_counter': 126, 'group_order': 60466176, 'label': '3T', 'order': 3, 'powers': [34, 1], 'representative': 52578829318050772140905728913655890058690, 'size': 1536}
  • id: 164849829
    {'aut_label': '3U', 'centralizer': None, 'counter': 35, 'group_counter': 126, 'group_order': 60466176, 'label': '3U', 'order': 3, 'powers': [35, 1], 'representative': 806634631152493150959738983, 'size': 2304}
  • id: 164849830
    {'aut_label': '3V', 'centralizer': None, 'counter': 36, 'group_counter': 126, 'group_order': 60466176, 'label': '3V', 'order': 3, 'powers': [36, 1], 'representative': 31912007105920284272401536534569278708249, 'size': 2304}
  • id: 164849831
    {'aut_label': '3W', 'centralizer': None, 'counter': 37, 'group_counter': 126, 'group_order': 60466176, 'label': '3W', 'order': 3, 'powers': [37, 1], 'representative': 31912007105922349095310080655634725716480, 'size': 2304}
  • id: 164849832
    {'aut_label': '3V', 'centralizer': None, 'counter': 38, 'group_counter': 126, 'group_order': 60466176, 'label': '3X', 'order': 3, 'powers': [38, 1], 'representative': 31912007105921542460678927758600637623277, 'size': 2304}
  • id: 164849833
    {'aut_label': '3Y', 'centralizer': None, 'counter': 39, 'group_counter': 126, 'group_order': 60466176, 'label': '3Y', 'order': 3, 'powers': [39, 1], 'representative': 31912007105920284272401537245850693401944, 'size': 2304}
  • id: 164849835
    {'aut_label': '3Y', 'centralizer': None, 'counter': 40, 'group_counter': 126, 'group_order': 60466176, 'label': '3Z', 'order': 3, 'powers': [40, 1], 'representative': 43112680748430979173397022480791595812290, 'size': 2304}
  • id: 164849836
    {'aut_label': '3AA', 'centralizer': None, 'counter': 41, 'group_counter': 126, 'group_order': 60466176, 'label': '3AA', 'order': 3, 'powers': [41, 1], 'representative': 52578829318048707155834538740156656335523, 'size': 4608}
  • id: 164849837
    {'aut_label': '3AB', 'centralizer': None, 'counter': 42, 'group_counter': 126, 'group_order': 60466176, 'label': '3AB', 'order': 3, 'powers': [42, 1], 'representative': 52578829318049513790465690227171377827256, 'size': 4608}
  • id: 164849838
    {'aut_label': '3AC', 'centralizer': None, 'counter': 43, 'group_counter': 126, 'group_order': 60466176, 'label': '3AC', 'order': 3, 'powers': [43, 1], 'representative': 806634631152898450419745929, 'size': 4608}
  • id: 164849839
    {'aut_label': '3AB', 'centralizer': None, 'counter': 44, 'group_counter': 126, 'group_order': 60466176, 'label': '3AD', 'order': 3, 'powers': [44, 1], 'representative': 63822384498269882280776161821478085586779, 'size': 4608}
  • id: 164849840
    {'aut_label': '3AA', 'centralizer': None, 'counter': 45, 'group_counter': 126, 'group_order': 60466176, 'label': '3AE', 'order': 3, 'powers': [45, 1], 'representative': 31347845838494169435741584402924175579574, 'size': 4608}
  • id: 164849841
    {'aut_label': '3AC', 'centralizer': None, 'counter': 46, 'group_counter': 126, 'group_order': 60466176, 'label': '3AF', 'order': 3, 'powers': [46, 1], 'representative': 52578574392368147703652998645084171878400, 'size': 4608}
  • id: 164849842
    {'aut_label': '3AG', 'centralizer': None, 'counter': 47, 'group_counter': 126, 'group_order': 60466176, 'label': '3AG', 'order': 3, 'powers': [47, 1], 'representative': 51996240925306386128166191337116438861043, 'size': 5184}
  • id: 164849843
    {'aut_label': '3AH', 'centralizer': None, 'counter': 48, 'group_counter': 126, 'group_order': 60466176, 'label': '3AH', 'order': 3, 'powers': [48, 1], 'representative': 1224627891274069479377734601101087895490, 'size': 6912}
  • id: 164849844
    {'aut_label': '3AI', 'centralizer': None, 'counter': 49, 'group_counter': 126, 'group_order': 60466176, 'label': '3AI', 'order': 3, 'powers': [49, 1], 'representative': 10628652128251310453667254688203786392290, 'size': 13824}
  • id: 164849846
    {'aut_label': '3AI', 'centralizer': None, 'counter': 50, 'group_counter': 126, 'group_order': 60466176, 'label': '3AJ', 'order': 3, 'powers': [50, 1], 'representative': 84489206710398305326371812601050527672750, 'size': 13824}
  • id: 164849847
    {'aut_label': '3AK', 'centralizer': None, 'counter': 51, 'group_counter': 126, 'group_order': 60466176, 'label': '3AK', 'order': 3, 'powers': [51, 1], 'representative': 21586999749802983470087621035668636326921, 'size': 20736}
  • id: 164849848
    {'aut_label': '3AK', 'centralizer': None, 'counter': 52, 'group_counter': 126, 'group_order': 60466176, 'label': '3AL', 'order': 3, 'powers': [52, 1], 'representative': 63484804363402952784375468291007220827444, 'size': 20736}
  • id: 164849849
    {'aut_label': '3AM', 'centralizer': None, 'counter': 53, 'group_counter': 126, 'group_order': 60466176, 'label': '3AM', 'order': 3, 'powers': [53, 1], 'representative': 73236432914910646468686313836705407685977, 'size': 20736}
  • id: 164849850
    {'aut_label': '3AM', 'centralizer': None, 'counter': 54, 'group_counter': 126, 'group_order': 60466176, 'label': '3AN', 'order': 3, 'powers': [54, 1], 'representative': 10628907027102456925433776659950797995562, 'size': 20736}
  • id: 164849851
    {'aut_label': '3AO', 'centralizer': None, 'counter': 55, 'group_counter': 126, 'group_order': 60466176, 'label': '3AO', 'order': 3, 'powers': [55, 1], 'representative': 271371359564889727366938976873159107, 'size': 27648}
  • id: 164849852
    {'aut_label': '3AP', 'centralizer': None, 'counter': 56, 'group_counter': 126, 'group_order': 60466176, 'label': '3AP', 'order': 3, 'powers': [56, 1], 'representative': 43112680748428914267013057427820607105881, 'size': 41472}
  • id: 164849853
    {'aut_label': '3AP', 'centralizer': None, 'counter': 57, 'group_counter': 126, 'group_order': 60466176, 'label': '3AQ', 'order': 3, 'powers': [57, 1], 'representative': 51710488520191699561495567408947903955348, 'size': 41472}
  • id: 164849854
    {'aut_label': '3AR', 'centralizer': None, 'counter': 58, 'group_counter': 126, 'group_order': 60466176, 'label': '3AR', 'order': 3, 'powers': [58, 1], 'representative': 10975730711617417503196180861748581245353, 'size': 41472}
  • id: 164849855
    {'aut_label': '3AS', 'centralizer': None, 'counter': 59, 'group_counter': 126, 'group_order': 60466176, 'label': '3AS', 'order': 3, 'powers': [59, 1], 'representative': 53151903329441218846144911523455013326681, 'size': 41472}
  • id: 164849857
    {'aut_label': '3AT', 'centralizer': None, 'counter': 60, 'group_counter': 126, 'group_order': 60466176, 'label': '3AT', 'order': 3, 'powers': [60, 1], 'representative': 62017076982674448160279022186573726999053, 'size': 82944}
  • id: 164849858
    {'aut_label': '3AT', 'centralizer': None, 'counter': 61, 'group_counter': 126, 'group_order': 60466176, 'label': '3AU', 'order': 3, 'powers': [61, 1], 'representative': 72940148114189732089507256136045988631733, 'size': 82944}
  • id: 164849859
    {'aut_label': '4A', 'centralizer': None, 'counter': 62, 'group_counter': 126, 'group_order': 60466176, 'label': '4A', 'order': 4, 'powers': [4, 62], 'representative': 2093469487138676482853856438964396032000, 'size': 972}
  • id: 164849860
    {'aut_label': '4B', 'centralizer': None, 'counter': 63, 'group_counter': 126, 'group_order': 60466176, 'label': '4B', 'order': 4, 'powers': [4, 63], 'representative': 137694108439710062295425518087942585838473, 'size': 8748}
  • id: 164849861
    {'aut_label': '4B', 'centralizer': None, 'counter': 64, 'group_counter': 126, 'group_order': 60466176, 'label': '4C', 'order': 4, 'powers': [4, 64], 'representative': 178714076458872518932335994115602158836344, 'size': 8748}
  • id: 164849862
    {'aut_label': '4D', 'centralizer': None, 'counter': 65, 'group_counter': 126, 'group_order': 60466176, 'label': '4D', 'order': 4, 'powers': [4, 65], 'representative': 10334225962850199261284143729883625075546, 'size': 78732}
  • id: 164849863
    {'aut_label': '4E', 'centralizer': None, 'counter': 66, 'group_counter': 126, 'group_order': 60466176, 'label': '4E', 'order': 4, 'powers': [4, 66], 'representative': 31911192249133733230862710798692242498986, 'size': 104976}
  • id: 164849864
    {'aut_label': '4F', 'centralizer': None, 'counter': 67, 'group_counter': 126, 'group_order': 60466176, 'label': '4F', 'order': 4, 'powers': [4, 67], 'representative': 128811600503243525634007198315705092813322, 'size': 104976}
  • id: 164849865
    {'aut_label': '4G', 'centralizer': None, 'counter': 68, 'group_counter': 126, 'group_order': 60466176, 'label': '4G', 'order': 4, 'powers': [11, 68], 'representative': 22455586437671702867431769232258094668553, 'size': 236196}
  • id: 164849866
    {'aut_label': '4H', 'centralizer': None, 'counter': 69, 'group_counter': 126, 'group_order': 60466176, 'label': '4H', 'order': 4, 'powers': [11, 69], 'representative': 116697558363668499129009741495218576538997, 'size': 236196}
  • id: 164849868
    {'aut_label': '4I', 'centralizer': None, 'counter': 70, 'group_counter': 126, 'group_order': 60466176, 'label': '4I', 'order': 4, 'powers': [11, 70], 'representative': 298183794912146873244474197895696115387869, 'size': 314928}
  • id: 164849869
    {'aut_label': '4I', 'centralizer': None, 'counter': 71, 'group_counter': 126, 'group_order': 60466176, 'label': '4J', 'order': 4, 'powers': [11, 71], 'representative': 245223103268332903457635459515300564552179, 'size': 314928}
  • id: 164849870
    {'aut_label': '4K', 'centralizer': None, 'counter': 72, 'group_counter': 126, 'group_order': 60466176, 'label': '4K', 'order': 4, 'powers': [13, 72], 'representative': 223948975102243362147523417941297123450107, 'size': 419904}
  • id: 164849871
    {'aut_label': '4K', 'centralizer': None, 'counter': 73, 'group_counter': 126, 'group_order': 60466176, 'label': '4L', 'order': 4, 'powers': [13, 73], 'representative': 309107399988520761455142969820883024074643, 'size': 419904}
  • id: 164849872
    {'aut_label': '6A', 'centralizer': None, 'counter': 74, 'group_counter': 126, 'group_order': 60466176, 'label': '6A', 'order': 6, 'powers': [15, 6], 'representative': 376891950813442, 'size': 432}
  • id: 164849873
    {'aut_label': '6A', 'centralizer': None, 'counter': 75, 'group_counter': 126, 'group_order': 60466176, 'label': '6B', 'order': 6, 'powers': [16, 6], 'representative': 376891950857476, 'size': 432}
  • id: 164849874
    {'aut_label': '6C', 'centralizer': None, 'counter': 76, 'group_counter': 126, 'group_order': 60466176, 'label': '6C', 'order': 6, 'powers': [17, 6], 'representative': 281653084555, 'size': 864}
  • id: 164849875
    {'aut_label': '6D', 'centralizer': None, 'counter': 77, 'group_counter': 126, 'group_order': 60466176, 'label': '6D', 'order': 6, 'powers': [24, 4], 'representative': 21291704620394, 'size': 1296}
  • id: 164849876
    {'aut_label': '6E', 'centralizer': None, 'counter': 78, 'group_counter': 126, 'group_order': 60466176, 'label': '6E', 'order': 6, 'powers': [16, 5], 'representative': 96960928355139479921487155288181825905269, 'size': 1296}
  • id: 164849877
    {'aut_label': '6F', 'centralizer': None, 'counter': 79, 'group_counter': 126, 'group_order': 60466176, 'label': '6F', 'order': 6, 'powers': [15, 2], 'representative': 96960928355139479921487155348252941174596, 'size': 1296}
  • id: 164849879
    {'aut_label': '6E', 'centralizer': None, 'counter': 80, 'group_counter': 126, 'group_order': 60466176, 'label': '6G', 'order': 6, 'powers': [15, 5], 'representative': 96960928355139852809903687179478982979039, 'size': 1296}
  • id: 164849880
    {'aut_label': '6F', 'centralizer': None, 'counter': 81, 'group_counter': 126, 'group_order': 60466176, 'label': '6H', 'order': 6, 'powers': [16, 3], 'representative': 97543228930846217796876123424182296945269, 'size': 1296}
  • id: 164849881
    {'aut_label': '6I', 'centralizer': None, 'counter': 82, 'group_counter': 126, 'group_order': 60466176, 'label': '6I', 'order': 6, 'powers': [16, 4], 'representative': 296055878968505307729772242429012772290, 'size': 1296}
  • id: 164849882
    {'aut_label': '6I', 'centralizer': None, 'counter': 83, 'group_counter': 126, 'group_order': 60466176, 'label': '6J', 'order': 6, 'powers': [15, 4], 'representative': 296055878968505307729772242429012910080, 'size': 1296}
  • id: 164849883
    {'aut_label': '6K', 'centralizer': None, 'counter': 84, 'group_counter': 126, 'group_order': 60466176, 'label': '6K', 'order': 6, 'powers': [16, 6], 'representative': 814856785393410765474895740726052290, 'size': 1728}
  • id: 164849884
    {'aut_label': '6K', 'centralizer': None, 'counter': 85, 'group_counter': 126, 'group_order': 60466176, 'label': '6L', 'order': 6, 'powers': [15, 6], 'representative': 814856785393410765474895740726190080, 'size': 1728}
  • id: 164849885
    {'aut_label': '6M', 'centralizer': None, 'counter': 86, 'group_counter': 126, 'group_order': 60466176, 'label': '6M', 'order': 6, 'powers': [17, 4], 'representative': 418829649741971603411275915, 'size': 2592}
  • id: 164849886
    {'aut_label': '6N', 'centralizer': None, 'counter': 87, 'group_counter': 126, 'group_order': 60466176, 'label': '6N', 'order': 6, 'powers': [17, 6], 'representative': 418829649741950674390737865, 'size': 3456}
  • id: 164849887
    {'aut_label': '6O', 'centralizer': None, 'counter': 88, 'group_counter': 126, 'group_order': 60466176, 'label': '6O', 'order': 6, 'powers': [18, 6], 'representative': 10628652128250052265389863811822208733442, 'size': 3456}
  • id: 164849888
    {'aut_label': '6P', 'centralizer': None, 'counter': 89, 'group_counter': 126, 'group_order': 60466176, 'label': '6P', 'order': 6, 'powers': [21, 6], 'representative': 10628652128250052265389863811822208777476, 'size': 3456}
  • id: 164849890
    {'aut_label': '6P', 'centralizer': None, 'counter': 90, 'group_counter': 126, 'group_order': 60466176, 'label': '6Q', 'order': 6, 'powers': [21, 6], 'representative': 10628652128250922648685843052237612765442, 'size': 3456}
  • id: 164849891
    {'aut_label': '6O', 'centralizer': None, 'counter': 91, 'group_counter': 126, 'group_order': 60466176, 'label': '6R', 'order': 6, 'powers': [19, 6], 'representative': 10628652128250922648685843052237612809476, 'size': 3456}
  • id: 164849892
    {'aut_label': '6S', 'centralizer': None, 'counter': 92, 'group_counter': 126, 'group_order': 60466176, 'label': '6S', 'order': 6, 'powers': [15, 7], 'representative': 95736021400176188986541036683286307139039, 'size': 3888}
  • id: 164849893
    {'aut_label': '6T', 'centralizer': None, 'counter': 93, 'group_counter': 126, 'group_order': 60466176, 'label': '6T', 'order': 6, 'powers': [15, 8], 'representative': 95736021400176188986541036743357422408666, 'size': 3888}
  • id: 164849894
    {'aut_label': '6T', 'centralizer': None, 'counter': 94, 'group_counter': 126, 'group_order': 60466176, 'label': '6U', 'order': 6, 'powers': [16, 7], 'representative': 95736021400176607816190778633679044931039, 'size': 3888}
  • id: 164849895
    {'aut_label': '6S', 'centralizer': None, 'counter': 95, 'group_counter': 126, 'group_order': 60466176, 'label': '6V', 'order': 6, 'powers': [16, 8], 'representative': 95736021400176607816190778693750160200666, 'size': 3888}
  • id: 164849896
    {'aut_label': '6W', 'centralizer': None, 'counter': 96, 'group_counter': 126, 'group_order': 60466176, 'label': '6W', 'order': 6, 'powers': [24, 3], 'representative': 95736836256960324046866470966237462851039, 'size': 3888}
  • id: 164849897
    {'aut_label': '6X', 'centralizer': None, 'counter': 97, 'group_counter': 126, 'group_order': 60466176, 'label': '6X', 'order': 6, 'powers': [24, 5], 'representative': 95736836256960324046866471026308578120666, 'size': 3888}
  • id: 164849898
    {'aut_label': '6X', 'centralizer': None, 'counter': 98, 'group_counter': 126, 'group_order': 60466176, 'label': '6Y', 'order': 6, 'powers': [24, 5], 'representative': 95737107628319464373362859340361269571039, 'size': 3888}
  • id: 164849899
    {'aut_label': '6W', 'centralizer': None, 'counter': 99, 'group_counter': 126, 'group_order': 60466176, 'label': '6Z', 'order': 6, 'powers': [24, 2], 'representative': 95737107628319464373362859400432384840666, 'size': 3888}
  • id: 164849569
    {'aut_label': '6AA', 'centralizer': None, 'counter': 100, 'group_counter': 126, 'group_order': 60466176, 'label': '6AA', 'order': 6, 'powers': [18, 2], 'representative': 96960928355139852809903687239550098294596, 'size': 5184}
• group 60466176.ev does not appear in gps_qchar
• group 60466176.ev does not appear in gps_char
• gps_subgroup_search •

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

  
  Showing the first 100 of 996 matching records in this table.
  • id: 228460317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 60466176, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '60466176.ev.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': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60466176.ev', 'subgroup_hash': None, 'subgroup_order': 60466176, 'subgroup_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 30233088, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.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': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30233088.jb', 'subgroup_hash': None, 'subgroup_order': 30233088, 'subgroup_tex': 'C_3^8:C_2^3.A_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 228460539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 30233088, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.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': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 30233088, 'subgroup_tex': 'C_3^8.Q_8^2.S_3\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 30233088, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.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': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30233088.jf', 'subgroup_hash': None, 'subgroup_order': 30233088, 'subgroup_tex': 'C_3^8:C_2^3.\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 228460761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 30233088, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.D', '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': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 30233088, 'subgroup_tex': 'C_3^8.Q_8^2.S_3\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 30233088, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.E', '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': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30233088.jc', 'subgroup_hash': None, 'subgroup_order': 30233088, 'subgroup_tex': 'C_3^8.\\GL(2,3)\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 30233088, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.F', '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': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 30233088, 'subgroup_tex': 'C_3^8.Q_8^2.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 30233088, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.G', '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': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30233088.jc', 'subgroup_hash': None, 'subgroup_order': 30233088, 'subgroup_tex': 'C_3^8.\\GL(2,3)\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 15116544, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8.Q_8^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15116544, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8.Q_8^2.C_3^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 228460329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 15116544, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8.Q_8^2.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15116544, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8.Q_8^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15116544, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8.Q_8^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15116544, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8.Q_8^2.C_3^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 228460373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 15116544, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8.Q_8^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 7558272, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15116544.ln', 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8.Q_8^2:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 7558272, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15116544.ll', 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8:C_2^3.A_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 7558272, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8.Q_8^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 7558272, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15116544, 'subgroup_tex': 'C_3^8.Q_8.C_6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.6._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10077696.dt', 'subgroup_hash': None, 'subgroup_order': 10077696, 'subgroup_tex': 'C_3^8:Q_8\\wr C_2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.6._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10077696, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.C_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 228460451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 7558272, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7558272, 'subgroup_tex': 'C_3^8.Q_8^2.C_3.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 228460462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 7558272, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7558272, 'subgroup_tex': 'C_3^8.Q_8^2.C_3.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 228460473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 7558272, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7558272, 'subgroup_tex': 'C_3^8.Q_8^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3779136, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7558272, 'subgroup_tex': 'C_3^8.Q_8^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3779136, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7558272, 'subgroup_tex': 'C_3^8.C_2^2.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3779136, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7558272, 'subgroup_tex': 'C_3^8.Q_8^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3779136, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7558272, 'subgroup_tex': 'C_3^8.Q_8.C_6.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7558272, 'subgroup_tex': 'C_3^4.(C_3^3\\times Q_8).S_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.9.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.qj', 'subgroup_hash': None, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 228460551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).(Q_8\\times S_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5038848.gq', 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^8.Q_8^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^8.Q_8^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^8.Q_8^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5038848.gt', 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^8.Q_8^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5038848.gt', 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^8.Q_8^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5038848.gp', 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^8:Q_8\\wr C_2.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).(Q_8\\times S_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^8.C_2.C_4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^8.Q_8^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 228460706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).(D_4\\times S_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).(D_4\\times S_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.Q_8.C_3^5.C_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.12._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5038848, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).(C_8\\times S_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3779136, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^8.Q_8^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13122, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^3\\times Q_8).C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^3\\times Q_8).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^3\\times Q_8).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^3\\times Q_8).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^3\\times Q_8).C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^6.C_6.(A_4\\times S_3^2).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.Q_8.C_3^5.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^2\\times Q_8).C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13122, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^3\\times Q_8).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13122, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^3\\times Q_8).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13122, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3\\times Q_8).C_3^4.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13122, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^2\\times Q_8).C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13122, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^3\\times Q_8).C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13122, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^3\\times Q_8).C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13122, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^4.(C_3^2\\times Q_8).C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228460972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.16._.Q', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3779136.fn', 'subgroup_hash': None, 'subgroup_order': 3779136, 'subgroup_tex': 'C_3^8.D_6^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 228460984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bhr', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.vn', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.Q_8^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228461006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bhr', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.sy', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 228461028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 228461039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.sz', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.sz', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.ut', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 228461072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.vw', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.vw', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.uu', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.D_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228461106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.ux', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.vu', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_8^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228461128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.kq', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 228461139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.ux', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^6.Q_8^2.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.18._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^6.Q_8^2.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).(Q_8\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 228461183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).(Q_8\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 228461194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^8.C_2^2.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 228461206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^8.Q_8^2.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 228461217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^8.Q_8^2.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 228461228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^8.Q_8^2.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 228461239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 228461250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^4.Q_8.C_3^5.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228461261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 228461272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^8.Q_8^2.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 228461283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^8.Q_8^2.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 228461294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^8.C_2^2.(D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 228461305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 228460319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '60466176.ev', 'ambient_counter': 126, 'ambient_order': 60466176, 'ambient_tex': 'C_3^8:C_2^3.S_4\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '60466176.ev.24._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2519424, 'subgroup_tex': 'C_3^4.(C_3^3\\times C_6).A_4.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
• 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

  
  Showing the first 100 of 996 matching records in this table.
  • id: 228460317
    {'ambient': '60466176.ev', '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': [296055878968505307729771865725346113987, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 526270820628168701564480640697188132, 276480, 526270820628168701564480466296832000, 84489206710398724156021554700255614462964, 222819609601380350212593280472274321353496, 418829649742081608560335509, 2935368367171969558782171574, 184197, 2935368367171990769455609082, 2644211021310964, 1510738997160387, 116697813263129519026102819505413088596120, 74451036626516159657008552048252354560000, 1225162128215719090461867757563248824197, 1258350440040236085903360000, 1341127605876313410928509989375836555, 814856785393410765474519037059072000], 'label': '60466176.ev.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: 228460318
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1258350440040236085903360000, 526270820628168701564480466296832000, 2935368367171969558782171574, 1510738997160387, 184197, 222819354428129131522526455447042400201496, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487139810090469256668185176412603, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460319
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 1086228144533737261862893616919145965, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 157753098382849378796380018566877166159734, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460320
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2093214844394451841841536738258340562579, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 157753098382849378796380018566877166159734, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460321
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2093214844394451841841536738258340562579, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 116698373220453424594663117918107657556120, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460322
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 330322060585462434317514631442000817679523, 2644211021310964, 271371359145493634903301420893028132, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460323
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 1341127605876313410928509989375836555, 2093469487139810090469256668185176412603, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460324
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 222819609601380350212593280472274321353496, 2644211021310964, 271371359145493634903301420893028132, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460325
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 814856785810973612750906001469135509, 1225162128215719090461867757563248824197, 276480, 1341127605876313410928509989375836555, 2093469487139810090469256668185176412603, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460326
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460327
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 814856785810973612750906001469135509, 1225162128215719090461867757563248824197, 1341127606264120633163578039793985521, 276480, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460328
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 1086228144533737261862893616919145965, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460329
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1258350440040236085903360000, 526270820628168701564480466296832000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487139810090469256668185176412603, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 116698373220453424594663117918107657556120, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460330
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 157752284596222140092894870224894343759734, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 1086228144533737261862893616919145965, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460331
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 157752284596222140092894870224894343759734, 1258350440040236085903360000, 2093214844394451841841536738258340562579, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460332
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2093214844394451841841536738258340562579, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460333
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460334
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2094011920091492460842706582503205212603, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460335
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 157752284596222140092894870224894343759734, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2094011920091492460842706582503205212603, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460336
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 157752284596222140092894870224894343759734, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460337
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 158620904157150485368848640890663822676120, 2935368367171969558782171574, 1510738997160387, 814856785393410765474519037059072000, 184197, 296055878969763496007161756053948718373, 2644211021310964, 93485320393, 418829649742081608560335509, 276480, 84489206710398724156021554700255614462964, 1493555564510599298354037157923670277054, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460338
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 158620904157150485368848640890663822676120, 2935368367171969558782171574, 1510738997160387, 184197, 296055878969763496007161756053948718373, 2644211021310964, 93485320393, 418829649742081608560335509, 276480, 84489206710398724156021554700255614462964, 1493555564510599298354037157923670277054, 74451036626516159657008552048252354560000, 2094011920090358853227306353282425108480, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460339
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 296055878969763496007161756053948718373, 2644211021310964, 93485320393, 418829649742081608560335509, 276480, 116697558363668917879979188185668244589720, 84489206710398724156021554700255614462964, 1493555564510599298354037157923670277054, 74451036626516159657008552048252354560000, 2094011920090358853227306353282425108480, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460340
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [296055878968505307729771865725346113987, 2093469487139810090469256668185176412603, 2093469487138676482853856438964396308480, 526270820628168701564480640697188132, 276480, 526270820628168701564480466296832000, 84489206710398724156021554700255614462964, 418829649742081608560335509, 2935368367171969558782171574, 184197, 2935368367171990769455609082, 2644211021310964, 1510738997160387, 74451036626516159657008552048252354560000, 1225162128215719090461867757563248824197, 1258350440040236085903360000, 1341127605876313410928509989375836555, 330322060585462434317514631442000817679523], 'label': '60466176.ev.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460341
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 296055878969763496007161756053948718373, 2644211021310964, 93485320393, 418829649742081608560335509, 276480, 116697558363668917879979188185668244589720, 84489206710398724156021554700255614462964, 1493555564510599298354037157923670277054, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460342
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 139136295912851049339899894548972983881806, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 271371359145493634903301528145756555, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460343
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 271371359564889727366693309446465521, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 139136295912851049339899894548972983881806, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460344
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 271371359564889727366693309446465521, 2644211021310964, 148887669556362592240098583753094394441477, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460345
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 148887669556362592240098583753094394441477, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 271371359145493634903301528145756555, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460346
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 158620904157150485368848640890663822676120, 2935368367171969558782171574, 1510738997160387, 184197, 296055878969763496007161756053948718373, 2644211021310964, 93485320393, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 281653084555, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460347
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 158620904157150485368848640890663822676120, 2935368367171969558782171574, 1510738997160387, 184197, 296055878969763496007161756053948718373, 2644211021310964, 93485320393, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 2093469487138676482853856439246048977865, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460348
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 296055878969763496007161756053948718373, 2644211021310964, 93485320393, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 116697558363668917879979188185668244589720, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 2093469487138676482853856439246048977865, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460349
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 296055878969763496007161756053948718373, 2644211021310964, 93485320393, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 116697558363668917879979188185668244589720, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 281653084555, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460350
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 814856785393410765474519037059072000, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 1086228144953133354326285322929619245, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460351
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [296055878968505307729771865725346113987, 2093469487139810090469256668185176412603, 2093469487138676482853856438964396308480, 526270820628168701564480640697188132, 276480, 526270820628168701564480466296832000, 84489206710398724156021554700255614462964, 222819609601380350212593280472274321353496, 418829649742081608560335509, 2935368367171969558782171574, 184197, 2935368367171990769455609082, 2644211021310964, 1510738997160387, 74451036626516159657008552048252354560000, 1225162128215719090461867757563248824197, 1258350440040236085903360000, 1341127605876313410928509989375836555], 'label': '60466176.ev.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460352
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 814856785393410765474519037059072000, 184197, 1086228144533737261862893616919145965, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460353
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 1086228144533737261862893616919145965, 2644211021310964, 814856785810973612750906001469135509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460354
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 814856785810973612750906001469135509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 1086228144953133354326285322929619245, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460355
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1258350440040236085903360000, 222819609601382737649657473147292144199096, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 2093469487139095933000536648875519554950, 276480, 2092704745460235199888757185568522974762, 84489206710398724156021554700255614462964, 1493827183437802959506607187865775999932, 1493555564510599298354037157923670277054, 74451036626516159657008552048252354560000, 149173972361772439678771303274968810900120, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460356
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2093756746840815936974391565948816013043, 2935368367171969558782032884, 1510738997160387, 814856785393410765474519037059072000, 2644211021310964, 1341127605876313410928509989375697865, 1225162128215719090461867757563248685507, 116697813263129519026102818380627235949720, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2064985071192729143378000884, 2935368367171990769455609082, 2093469487138676482853856438964396032000, 296055878968505307729771865725345837507], 'label': '60466176.ev.24._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460357
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 42827446638259680192358331390903194994164, 42540659234170336375628750227949581682164, 814856785393410765474519037059072000, 84489206710398724156021552056044593152000, 84785262589367198276920344705247196452290, 83846140135112652010746275279501276533174, 84489206710398724156021554700255614325174, 41384716988267610779600390725101081461044, 42539573032246294562999200317469902460922, 42540659234168271552720207951811966241280, 74451036626516159657008552048252354560000, 2267507354192884, 2935368367171990769455609082], 'label': '60466176.ev.24._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460358
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 814856785393410765474519037059072000, 184197, 1086228144533737261862893616919145965, 296055878969763496007161756053948718373, 2644211021310964, 418829649742081608560335509, 149173717188521269871447592902831768980120, 276480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.24._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460359
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460360
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460361
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 296055878969763496007161756053948718373, 2644211021310964, 418829649742081608560335509, 276480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460362
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1258350440040236085903360000, 526270820628168701564480466296832000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 330320744948961366822398613302924291599523, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487139810090469256668185176412603, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460363
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460364
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 814856788198410676943517641552377082, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460365
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 1341127608780659350593487098618535557, 84489206710398724156021554700255614462964, 814856788198410676943517641552377082, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460366
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 1341127608780659350593487098618535557, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460367
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 526270821001083991932084875447208950, 2093469487138676482853856438964396308480, 116698373220453424594663117918107657556120, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460368
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 106365743284060807818244220343770554703840, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460369
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 116698373220453424594663117918107657556120, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460370
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 159854716703093430331347308670107921827190, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460371
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 159854716703093430331347308670107921827190, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 2093469487138676482853856438964396308480, 1341127608780659350593487098618535557, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460372
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 2093469487138676482853856438964396308480, 116698373220453424594663117918107657556120, 1341127608780659350593487098618535557, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460373
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [116697813263129519026102819505413088596120, 1258350440040236085903360000, 526270820628168701564480466296832000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487139810090469256668185176412603, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460374
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 526270821001083991932084875447208950, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460375
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 296055878969763496007161756053948718373, 2644211021310964, 418829649742081608560335509, 276480, 1224627891272516572231506786847457464197, 84489206710398724156021554700255614462964, 1224627891272516572231506787021857657909, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460376
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460377
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 159854173190837056429409217987536104867190, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 1341127605876313410928509989375836555, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460378
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 159854173190837056429409217987536104867190, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 2093469487138676482853856438964396308480, 1341127608780659350593487098618535557, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460379
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 2093469487138676482853856438964396308480, 1341127608780659350593487098618535557, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460380
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 526270823806208725993098417661683822, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460381
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 526270823806208725993098417661683822, 2644211021310964, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 814856788198410676943517641552377082, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460382
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 526270823806208725993098417661683822, 2644211021310964, 159854173190837056429409217987536104867190, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 814856788198410676943517641552377082, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460383
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 526270823806208725993098417661683822, 2644211021310964, 159854173190837056429409217987536104867190, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460384
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1258350440040236085903360000, 526270820628168701564480466296832000, 2935368367171969558782171574, 1510738997160387, 184197, 222819609601380350212593280472274321353496, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487139810090469256668185176412603, 2093469487138676482853856438964396308480, 116698373220453424594663117918107657556120, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.4._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460385
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 418829649742081608560335509, 149173717188521269871447592902831768980120, 2516538717430126414506199124, 276480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082], 'label': '60466176.ev.32._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460386
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [295241022183257156183953193507561793987, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 149173717188521269871447592902831768980120, 2516538717430126414506199124, 276480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082], 'label': '60466176.ev.32._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460387
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [295241022183257156183953193507561793987, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 2516538717430126414506199124, 276480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 169545298635182969755089404686782150944920, 2935368367171990769455609082], 'label': '60466176.ev.32._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460388
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 418829649742081608560335509, 2516538717430126414506199124, 276480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 169545298635182969755089404686782150944920, 2935368367171990769455609082], 'label': '60466176.ev.32._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460389
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 271371359145493634903301528145756555, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460390
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 271371361952326791559304847458983557, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460391
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 271371361952326791559304847458983557, 159854173190837056429409217987536104867190, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460392
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 159854173190837056429409217987536104867190, 1225162128215719090461867757563248824197, 2093756746840815936974391565948816151733, 276480, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 271371359145493634903301528145756555, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460393
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 149173717188521269871447592902831768980120, 2516538717430126414506199124, 276480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 271371359145493634903301528145756555, 2935368367171990769455609082], 'label': '60466176.ev.32._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460394
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 149173717188521269871447592902831768980120, 2516538717430126414506199124, 276480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 296582149179309599260826398345481973242, 2935368367171990769455609082], 'label': '60466176.ev.32._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460395
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1258350440040236085903360000, 526270820628168701564480466296832000, 2935368367171969558782171574, 1510738997160387, 184197, 222819609601380350212593280472274321353496, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487139810090469256668185176412603, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 106365743284060807818244220343770554703840, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460396
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 2516538717430126414506199124, 276480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 296582149179309599260826398345481973242, 2935368367171990769455609082, 169545298635182969755089404686782150944920], 'label': '60466176.ev.32._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460397
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 2516538717430126414506199124, 276480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 271371359145493634903301528145756555, 169545298635182969755089404686782150944920, 2935368367171990769455609082], 'label': '60466176.ev.32._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460398
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1258350440040236085903360000, 2093756746839189198767694958900027668480, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 222819609601380350212593280472274321353496, 2644211021310964, 1224906954964549285386158841263075337722, 2093756746839189198767694959074427614762, 276480, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460399
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1258350440040236085903360000, 1224627891272936022378186996335586084199, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 276256219161579751532690779269489893246502, 276480, 1224906954965803259984318257823201461035, 1224627891272516572231506786847457464197, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 149173972361772439678771303274968810900120, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460400
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 330320744948961366822398613302924291599523, 276480, 1341127605876313410928509989375836555, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460401
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1258350440040236085903360000, 1224627891272936022378186996335586084199, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 276480, 1224906954965803259984318257823201461035, 1224627891272516572231506786847457464197, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 149173972361772439678771303274968810900120, 2935368367171990769455609082, 340359967529970366169486485587143858754723, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460402
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [526270820628168701564480466296832000, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 149173717188521269871447592902831768980120, 276480, 1341127605876313410928509989375836555, 296310804652015017969526025314118330164, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460403
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 1258350440040236085903360000, 1224627891272936022378186996335586084199, 2935368367171969558782171574, 1510738997160387, 184197, 222819354428129131522526455447042400201496, 2644211021310964, 276480, 1224906954965803259984318257823201461035, 1224627891272516572231506786847457464197, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460404
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1258350440040236085903360000, 2093756746839189198767694958900027668480, 2935368367171969558782171574, 1510738997160387, 184197, 222819609601380350212593280472274321353496, 2644211021310964, 1224906954964549285386158841263075337722, 2093756746839189198767694959074427614762, 276480, 84489206710398724156021554700255614462964, 159219789942013263185699203348807099794899, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.32._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460405
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [159219789942013263185699203348807099794899, 938357738796647240854193551285297336197, 276480, 938357738796647240854193551459697529909, 222819609601380350212593280472274321353496, 84489206710398724156021554700255614462964, 2935368367171969558782171574, 184197, 2644211021310964, 1510738997160387, 1224906954964549285386158841263075337722, 74451036626516159657008552048252354560000, 296055878971409651428612448766800480395, 1258350440040236085903360000, 814856785393410765474519037059072000], 'label': '60466176.ev.32._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460406
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [116697813263129519026102819505413088596120, 1258350440040236085903360000, 526270820628168701564480466296832000, 2935368367171969558782171574, 1510738997160387, 814856785393410765474519037059072000, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487139810090469256668185176412603, 2093469487138676482853856438964396308480, 84489206710398724156021554700255614462964, 526270820628168701564480640697188132, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460407
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [295241022183257156183953193507561793987, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 938357738796647240854193551285297336197, 222819609601380350212593280472274321353496, 2644211021310964, 1224906954964549285386158841263075337722, 296055878971409651428612448766800480395, 276480, 938357738796647240854193551459697529909, 84489206710398724156021554700255614462964, 159219789942013263185699203348807099794899, 74451036626516159657008552048252354560000], 'label': '60466176.ev.32._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460408
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [295241022183257156183953193507561793987, 1258350440040236085903360000, 1510738997160387, 2935368367171969558782171574, 184197, 2644211021310964, 938357738796647240854193551285297336197, 1224906954964549285386158841263075337722, 296055878971409651428612448766800480395, 222819609601381947172592739310419425397193, 276480, 938357738796647240854193551459697529909, 84489206710398724156021554700255614462964, 159219789942013263185699203348807099794899, 74451036626516159657008552048252354560000], 'label': '60466176.ev.32._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460409
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1258350440040236085903360000, 1510738997160387, 2935368367171969558782171574, 184197, 814856785393410765474519037059072000, 2644211021310964, 938357738796647240854193551285297336197, 1224906954964549285386158841263075337722, 296055878971409651428612448766800480395, 222819609601381947172592739310419425397193, 276480, 938357738796647240854193551459697529909, 84489206710398724156021554700255614462964, 159219789942013263185699203348807099794899, 74451036626516159657008552048252354560000], 'label': '60466176.ev.32._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460410
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1258350440040236085903360000, 1510738997160387, 2935368367171969558782171574, 184197, 814856785393410765474519037059072000, 2644211021310964, 938357738796647240854193551285297336197, 1224906954964549285386158841263075337722, 296055878971409651428612448766800480395, 222819609601381947172592739310419425397193, 276480, 938357738796647240854193551459697529909, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 128524237765090629914511811119913492127699], 'label': '60466176.ev.32._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460411
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [295241022183257156183953193507561793987, 1258350440040236085903360000, 1510738997160387, 2935368367171969558782171574, 184197, 2644211021310964, 938357738796647240854193551285297336197, 1224906954964549285386158841263075337722, 296055878971409651428612448766800480395, 222819609601381947172592739310419425397193, 276480, 938357738796647240854193551459697529909, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 128524237765090629914511811119913492127699], 'label': '60466176.ev.32._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460412
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [295241022183257156183953193507561793987, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 938357738796647240854193551285297336197, 222819609601380350212593280472274321353496, 2644211021310964, 1224906954964549285386158841263075337722, 296055878971409651428612448766800480395, 276480, 938357738796647240854193551459697529909, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 128524237765090629914511811119913492127699], 'label': '60466176.ev.32._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460413
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 938357738796647240854193551285297336197, 222819609601380350212593280472274321353496, 2644211021310964, 1224906954964549285386158841263075337722, 296055878971409651428612448766800480395, 276480, 938357738796647240854193551459697529909, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 128524237765090629914511811119913492127699], 'label': '60466176.ev.32._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460414
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [375138429344, 1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 158620904157150485368848642339823723782544, 74451036626516159657008552048252354560000, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.36._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460415
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1258350440040236085903360000, 222819609601380350212593280515428054327019, 1510738997160387, 2935368367171969558782171574, 184197, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 128211638065560184839529021949118607698326, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.36._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 228460416
    {'ambient': '60466176.ev', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1258350440040236085903360000, 2935368367171969558782171574, 1510738997160387, 184197, 814856785393410765474519037059072000, 2644211021310964, 418829649742081608560335509, 1225162128215719090461867757563248824197, 276480, 2093469487138676482853856438964396308480, 2093469487139810090469256668185176412603, 84489206710398724156021554700255614462964, 74451036626516159657008552048252354560000, 814856785393410765474519412197501344, 2935368367171990769455609082, 296055878968505307729771865725346113987], 'label': '60466176.ev.36._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.C', 'subgroup_fusion': None, 'weyl_group': None}