Abstract group data - 663552.hk

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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': 4, 'aut_exponent': 24, 'aut_gen_orders': [6, 12, 6, 6, 8, 4, 12, 12], 'aut_gens': [[7158383934135549, 135541930410327018, 122066265012959059], [622496333476904383, 749102575857585947, 160794342945473120], [379226874577299856, 514012882057025728, 257182939852850393], [397722801403635296, 750546416540759889, 122776245016491859], [32095560061652829, 526149495131802437, 506875601541705770], [865451594828943116, 281748904279195823, 122779035006337699], [877840582965293640, 769414769098126528, 487314013451846362], [384583115015779816, 257894308598027712, 487316803164458356], [858989149053476137, 160102496192380703, 526106341859038101]], 'aut_group': None, 'aut_hash': 7057622781935546740, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5308416, 'aut_permdeg': 672, 'aut_perms': 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'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 6, 1, 4], [2, 9, 1, 4], [2, 12, 2, 1], [2, 18, 2, 2], [2, 36, 1, 2], [2, 36, 2, 1], [2, 36, 4, 1], [2, 54, 1, 4], [2, 72, 1, 1], [2, 81, 1, 2], [2, 108, 2, 1], [2, 108, 4, 1], [2, 216, 1, 2], [2, 216, 2, 1], [2, 324, 1, 2], [2, 324, 2, 1], [2, 432, 2, 1], [2, 576, 1, 1], [2, 648, 1, 1], [2, 1296, 2, 1], [2, 2592, 1, 1], [3, 16, 1, 2], [3, 32, 1, 2], [3, 64, 1, 1], [3, 128, 2, 1], [3, 512, 1, 2], [3, 1024, 1, 1], [3, 2048, 1, 2], [4, 12, 2, 1], [4, 36, 1, 2], [4, 36, 2, 1], [4, 36, 4, 1], [4, 72, 1, 3], [4, 72, 2, 1], [4, 108, 2, 1], [4, 108, 4, 1], [4, 216, 1, 2], [4, 216, 2, 3], [4, 216, 4, 1], [4, 324, 1, 2], [4, 324, 2, 1], [4, 432, 2, 3], [4, 432, 4, 2], [4, 576, 1, 1], [4, 648, 1, 3], [4, 648, 2, 1], [4, 1296, 2, 3], [4, 1296, 4, 2], [4, 1728, 1, 4], [4, 2592, 1, 3], [4, 2592, 2, 4], [4, 2592, 4, 1], [4, 3456, 1, 2], [4, 5184, 1, 2], [4, 10368, 1, 2], [6, 16, 1, 2], [6, 32, 1, 2], [6, 48, 1, 4], [6, 48, 2, 4], [6, 64, 1, 1], [6, 96, 2, 1], [6, 96, 4, 1], [6, 128, 2, 1], [6, 144, 1, 4], [6, 144, 2, 4], [6, 192, 1, 4], [6, 288, 1, 4], [6, 288, 4, 3], [6, 384, 1, 2], [6, 384, 2, 6], [6, 432, 1, 4], [6, 512, 1, 2], [6, 576, 1, 4], [6, 576, 2, 1], [6, 768, 4, 1], [6, 864, 2, 1], [6, 864, 4, 1], [6, 1024, 1, 1], [6, 1152, 1, 4], [6, 1152, 2, 4], [6, 1536, 1, 4], [6, 1728, 1, 2], [6, 1728, 2, 1], [6, 2048, 1, 2], [6, 2304, 2, 1], [6, 2304, 4, 1], [6, 3072, 1, 2], [6, 3072, 2, 2], [6, 3456, 2, 1], [6, 4608, 1, 2], [6, 18432, 2, 1], [8, 3456, 1, 2], [8, 10368, 1, 2], [12, 96, 2, 1], [12, 96, 4, 1], [12, 288, 4, 3], [12, 384, 2, 2], [12, 576, 1, 2], [12, 576, 2, 3], [12, 576, 4, 1], [12, 768, 4, 1], [12, 864, 2, 1], [12, 864, 4, 1], [12, 1152, 1, 4], [12, 1152, 2, 2], [12, 1728, 1, 2], [12, 1728, 2, 3], [12, 1728, 4, 1], [12, 2304, 1, 4], [12, 2304, 2, 1], [12, 2304, 4, 1], [12, 3072, 2, 2], [12, 3456, 2, 3], [12, 3456, 4, 2], [12, 4608, 1, 2], [12, 4608, 2, 1], [12, 6912, 2, 2], [12, 13824, 1, 2], [12, 13824, 2, 2], [12, 18432, 2, 1], [24, 13824, 2, 2]], 'aut_supersolvable': False, 'aut_tex': 'C_2^2\\times A_4^2.A_4^2.C_2.C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': None, 'autcentquo_hash': 1527392608553041402, 'autcentquo_nilpotent': False, 'autcentquo_order': 663552, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'A_4^2.A_4^2.C_2.C_2^4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 6, 4], [2, 9, 4], [2, 12, 2], [2, 18, 4], [2, 36, 8], [2, 54, 4], [2, 72, 1], [2, 81, 2], [2, 108, 6], [2, 216, 4], [2, 324, 4], [2, 432, 2], [2, 576, 1], [2, 648, 1], [2, 1296, 2], [2, 2592, 1], [3, 16, 2], [3, 32, 2], [3, 64, 1], [3, 128, 2], [3, 512, 2], [3, 1024, 1], [3, 2048, 2], [4, 12, 2], [4, 36, 8], [4, 72, 5], [4, 108, 6], [4, 216, 12], [4, 324, 4], [4, 432, 14], [4, 576, 1], [4, 648, 5], [4, 1296, 14], [4, 1728, 4], [4, 2592, 15], [4, 3456, 2], [4, 5184, 2], [4, 10368, 2], [6, 16, 2], [6, 32, 2], [6, 48, 12], [6, 64, 1], [6, 96, 6], [6, 128, 2], [6, 144, 12], [6, 192, 4], [6, 288, 16], [6, 384, 14], [6, 432, 4], [6, 512, 2], [6, 576, 6], [6, 768, 4], [6, 864, 6], [6, 1024, 1], [6, 1152, 12], [6, 1536, 4], [6, 1728, 4], [6, 2048, 2], [6, 2304, 6], [6, 3072, 6], [6, 3456, 2], [6, 4608, 2], [6, 18432, 2], [8, 3456, 2], [8, 10368, 2], [12, 96, 6], [12, 288, 12], [12, 384, 4], [12, 576, 12], [12, 768, 4], [12, 864, 6], [12, 1152, 8], [12, 1728, 12], [12, 2304, 10], [12, 3072, 4], [12, 3456, 14], [12, 4608, 4], [12, 6912, 4], [12, 13824, 6], [12, 18432, 2], [24, 13824, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '331776.ce', 'commutator_count': 2, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 17, 'conjugacy_classes_known': True, 'counter': 193, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 6, 1, 4], [2, 9, 1, 4], [2, 12, 1, 2], [2, 18, 1, 4], [2, 36, 1, 8], [2, 54, 1, 4], [2, 72, 1, 1], [2, 81, 1, 2], [2, 108, 1, 6], [2, 216, 1, 4], [2, 324, 1, 4], [2, 432, 1, 2], [2, 576, 1, 1], [2, 648, 1, 1], [2, 1296, 1, 2], [2, 2592, 1, 1], [3, 16, 1, 2], [3, 32, 1, 2], [3, 64, 1, 1], [3, 128, 1, 2], [3, 512, 1, 2], [3, 1024, 1, 1], [3, 2048, 1, 2], [4, 12, 1, 2], [4, 36, 1, 8], [4, 72, 1, 5], [4, 108, 1, 6], [4, 216, 1, 12], [4, 324, 1, 4], [4, 432, 1, 14], [4, 576, 1, 1], [4, 648, 1, 5], [4, 1296, 1, 14], [4, 1728, 1, 4], [4, 2592, 1, 15], [4, 3456, 1, 2], [4, 5184, 1, 2], [4, 10368, 1, 2], [6, 16, 1, 2], [6, 32, 1, 2], [6, 48, 1, 12], [6, 64, 1, 1], [6, 96, 1, 6], [6, 128, 1, 2], [6, 144, 1, 12], [6, 192, 1, 4], [6, 288, 1, 16], [6, 384, 1, 14], [6, 432, 1, 4], [6, 512, 1, 2], [6, 576, 1, 6], [6, 768, 1, 4], [6, 864, 1, 6], [6, 1024, 1, 1], [6, 1152, 1, 12], [6, 1536, 1, 4], [6, 1728, 1, 4], [6, 2048, 1, 2], [6, 2304, 1, 4], [6, 2304, 2, 1], [6, 3072, 1, 6], [6, 3456, 1, 2], [6, 4608, 1, 2], [6, 18432, 2, 1], [8, 3456, 1, 2], [8, 10368, 1, 2], [12, 96, 1, 6], [12, 288, 1, 12], [12, 384, 1, 4], [12, 576, 1, 12], [12, 768, 1, 4], [12, 864, 1, 6], [12, 1152, 1, 8], [12, 1728, 1, 12], [12, 2304, 1, 8], [12, 2304, 2, 1], [12, 3072, 1, 4], [12, 3456, 1, 14], [12, 4608, 1, 4], [12, 6912, 2, 2], [12, 13824, 1, 2], [12, 13824, 2, 2], [12, 18432, 2, 1], [24, 13824, 2, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 24, 'exponents_of_order': [13, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[18, 1, 16], [36, 1, 16], [54, 1, 16], [72, 1, 4], [108, 1, 8], [162, 1, 4]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '331776.ce', 'hash': 2966786230808390204, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [12, 12, 12], 'inner_gens': [[7158383934135549, 244424135318176193, 256117185200802346], [372824681466223828, 135541930410327018, 505788836805028016], [372824681491715092, 731360137008814668, 122066265012959059]], 'inner_hash': 2778281038860681969, 'inner_nilpotent': False, 'inner_order': 331776, 'inner_split': None, 'inner_tex': 'S_4^2.\\POPlus(4,3)', 'inner_used': [1, 2, 3], 'irrC_degree': 18, 'irrQ_degree': 18, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 8], [2, 22], [4, 24], [6, 32], [8, 25], [9, 16], [12, 64], [16, 2], [18, 60], [24, 28], [36, 56], [48, 2], [54, 32], [72, 9], [81, 8], [108, 16], [162, 6]], 'label': '663552.hk', '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': 'A4^2.S4^2:D4', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 243, 'number_characteristic_subgroups': 74, 'number_conjugacy_classes': 410, 'number_divisions': 400, 'number_normal_subgroups': 86, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 663552, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 10975], [3, 6560], [4, 117024], [6, 145760], [8, 27648], [12, 300288], [24, 55296]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [32034186269342656, 621473557746586897, 859696694478356325, 19646593110144000], 'outer_gens': [[622496333476904383, 749102575857585947, 160794342945473120], [379226874577299856, 514012882057025728, 257182939852850393], [397722801403635296, 750546416540759889, 122776245016491859], [877840582965293640, 769414769098126528, 487314013451846362]], 'outer_group': '16.14', 'outer_hash': 14, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 16, 'outer_perms': [1328432193090, 2966618070835, 4483583802622, 8597469399120], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4', 'pc_rank': None, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 8], [2, 14], [4, 28], [6, 32], [8, 21], [9, 16], [12, 64], [16, 4], [18, 52], [24, 28], [36, 60], [48, 2], [54, 32], [72, 9], [81, 8], [108, 16], [162, 6]], 'representations': {'PC': {'code': '2319239737250797869169935239150149833365278330835854625253125246219089385918476194425503887458531757237303675070956501103384244705809360033196065229490095477835961604888379764269813514484638252509535990741672499379130248924159385828861878101177316295204785956257735907308279920452457978308700837535996905296992768160914990521060279961271715609928961006542396579899107924735614709827957473532406766430680585972547836450295535564850261417031120075197791996552227718857144212587685463695009566474578988700646899978788712955301754191102631586271329169677517221376716230559835367577918283418316974720', 'gens': [1, 2, 5, 7, 9, 11, 12, 13, 14, 15, 16, 17], 'pres': [17, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 10658592, 17704685, 86, 28951070, 138, 31374659, 18551764, 7290981, 13391108, 5872450, 242, 35167973, 19701526, 11303679, 5684924, 22765182, 16112147, 826852, 9075711, 1558736, 957922, 346, 470023, 117528, 97961, 93082, 3339, 4802984, 15312265, 1222818, 3833627, 1261408, 214004, 4717, 450, 538569, 244826, 8665963, 3561900, 1187357, 47031, 31021066, 15510555, 121220, 181825, 3478, 5178, 119501579, 47060380, 23001453, 11236382, 881359, 495816, 18473, 11146, 92225964, 68739869, 34226758, 16540587, 859328, 393919, 294486, 22010, 46558, 24033, 115359565, 41023614, 20049167, 11258416, 3341601, 1876490, 38335694, 6940111, 19994088, 7353245, 247942, 537129, 440756, 84300, 36887, 705039, 352544, 13748017, 1233858, 63799, 5880, 94385104, 47192577, 27529034, 1779151, 4494612, 281009, 681580, 335664]}, 'Perm': {'d': 20, 'gens': [7158383934135549, 135541930410327018, 122066265012959059]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 36, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'A_4^2.S_4^2:D_4', '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

  
  
  • id: 166440135
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 193, 'group_order': 663552, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 166440246
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 193, 'group_order': 663552, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 98155456, 'size': 1}
  • id: 166440357
    {'aut_label': '2B', 'centralizer': '6.C', 'counter': 3, 'group_counter': 193, 'group_order': 663552, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 615069875913292800, 'size': 6}
  • id: 166440468
    {'aut_label': '2C', 'centralizer': '6.D', 'counter': 4, 'group_counter': 193, 'group_order': 663552, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 5045, 'size': 6}
  • id: 166440490
    {'aut_label': '2D', 'centralizer': '6.D', 'counter': 5, 'group_counter': 193, 'group_order': 663552, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 18679696, 'size': 6}
  • id: 166440501
    {'aut_label': '2E', 'centralizer': '6.C', 'counter': 6, 'group_counter': 193, 'group_order': 663552, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 6405076330910656, 'size': 6}
  • id: 166440512
    {'aut_label': '2F', 'centralizer': '9.B', 'counter': 7, 'group_counter': 193, 'group_order': 663552, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 18684725, 'size': 9}
  • id: 166440523
    {'aut_label': '2G', 'centralizer': '9.B', 'counter': 8, 'group_counter': 193, 'group_order': 663552, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 16, 'size': 9}
  • id: 166440534
    {'aut_label': '2H', 'centralizer': '9.A', 'counter': 9, 'group_counter': 193, 'group_order': 663552, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 378098525869521856, 'size': 9}
  • id: 166440136
    {'aut_label': '2I', 'centralizer': '9.A', 'counter': 10, 'group_counter': 193, 'group_order': 663552, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 635342745413376000, 'size': 9}
  • id: 166440147
    {'aut_label': '2J', 'centralizer': '12.Q', 'counter': 11, 'group_counter': 193, 'group_order': 663552, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 180583603200, 'size': 12}
  • id: 166440158
    {'aut_label': '2J', 'centralizer': '12.Q', 'counter': 12, 'group_counter': 193, 'group_order': 663552, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 180681758656, 'size': 12}
  • id: 166440169
    {'aut_label': '2L', 'centralizer': '18.T', 'counter': 13, 'group_counter': 193, 'group_order': 663552, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 6405076251434896, 'size': 18}
  • id: 166440180
    {'aut_label': '2M', 'centralizer': '18.T', 'counter': 14, 'group_counter': 193, 'group_order': 663552, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 6405076232760245, 'size': 18}
  • id: 166440191
    {'aut_label': '2L', 'centralizer': '18.T', 'counter': 15, 'group_counter': 193, 'group_order': 663552, 'label': '2N', 'order': 2, 'powers': [1, 15], 'representative': 6405076316222656, 'size': 18}
  • id: 166440202
    {'aut_label': '2M', 'centralizer': '18.T', 'counter': 16, 'group_counter': 193, 'group_order': 663552, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 6405076232922374, 'size': 18}
  • id: 166440213
    {'aut_label': '2P', 'centralizer': '36.EP', 'counter': 17, 'group_counter': 193, 'group_order': 663552, 'label': '2P', 'order': 2, 'powers': [1, 17], 'representative': 180602282896, 'size': 36}
  • id: 166440224
    {'aut_label': '2P', 'centralizer': '36.EP', 'counter': 18, 'group_counter': 193, 'group_order': 663552, 'label': '2Q', 'order': 2, 'powers': [1, 18], 'representative': 180583608245, 'size': 36}
  • id: 166440235
    {'aut_label': '2P', 'centralizer': '36.EP', 'counter': 19, 'group_counter': 193, 'group_order': 663552, 'label': '2R', 'order': 2, 'powers': [1, 19], 'representative': 180667070656, 'size': 36}
  • id: 166440247
    {'aut_label': '2P', 'centralizer': '36.EP', 'counter': 20, 'group_counter': 193, 'group_order': 663552, 'label': '2S', 'order': 2, 'powers': [1, 20], 'representative': 180583770374, 'size': 36}
  • id: 166440258
    {'aut_label': '2T', 'centralizer': '36.EH', 'counter': 21, 'group_counter': 193, 'group_order': 663552, 'label': '2T', 'order': 2, 'powers': [1, 21], 'representative': 6405163411046400, 'size': 36}
  • id: 166440269
    {'aut_label': '2T', 'centralizer': '36.EH', 'counter': 22, 'group_counter': 193, 'group_order': 663552, 'label': '2U', 'order': 2, 'powers': [1, 22], 'representative': 6405163509201856, 'size': 36}
  • id: 166440280
    {'aut_label': '2V', 'centralizer': '36.CJ', 'counter': 23, 'group_counter': 193, 'group_order': 663552, 'label': '2V', 'order': 2, 'powers': [1, 23], 'representative': 2789705318400, 'size': 36}
  • id: 166440291
    {'aut_label': '2W', 'centralizer': '36.CJ', 'counter': 24, 'group_counter': 193, 'group_order': 663552, 'label': '2W', 'order': 2, 'powers': [1, 24], 'representative': 2789803473856, 'size': 36}
  • id: 166440302
    {'aut_label': '2X', 'centralizer': None, 'counter': 25, 'group_counter': 193, 'group_order': 663552, 'label': '2X', 'order': 2, 'powers': [1, 25], 'representative': 6405076232755216, 'size': 54}
  • id: 166440313
    {'aut_label': '2Y', 'centralizer': None, 'counter': 26, 'group_counter': 193, 'group_order': 663552, 'label': '2Y', 'order': 2, 'powers': [1, 26], 'representative': 378098525790046096, 'size': 54}
  • id: 166440324
    {'aut_label': '2Z', 'centralizer': None, 'counter': 27, 'group_counter': 193, 'group_order': 663552, 'label': '2Z', 'order': 2, 'powers': [1, 27], 'representative': 378098525771371445, 'size': 54}
  • id: 166440335
    {'aut_label': '2AA', 'centralizer': None, 'counter': 28, 'group_counter': 193, 'group_order': 663552, 'label': '2AA', 'order': 2, 'powers': [1, 28], 'representative': 858339241202994614, 'size': 54}
  • id: 166440346
    {'aut_label': '2AB', 'centralizer': None, 'counter': 29, 'group_counter': 193, 'group_order': 663552, 'label': '2AB', 'order': 2, 'powers': [1, 29], 'representative': 7650427, 'size': 72}
  • id: 166440358
    {'aut_label': '2AC', 'centralizer': '81.a1', 'counter': 30, 'group_counter': 193, 'group_order': 663552, 'label': '2AC', 'order': 2, 'powers': [1, 30], 'representative': 878988814261297216, 'size': 81}
  • id: 166440369
    {'aut_label': '2AD', 'centralizer': '81.a1', 'counter': 31, 'group_counter': 193, 'group_order': 663552, 'label': '2AD', 'order': 2, 'powers': [1, 31], 'representative': 878988814261297200, 'size': 81}
  • id: 166440380
    {'aut_label': '2AE', 'centralizer': None, 'counter': 32, 'group_counter': 193, 'group_order': 663552, 'label': '2AE', 'order': 2, 'powers': [1, 32], 'representative': 32389873697433605, 'size': 108}
  • id: 166440391
    {'aut_label': '2AF', 'centralizer': None, 'counter': 33, 'group_counter': 193, 'group_order': 663552, 'label': '2AF', 'order': 2, 'powers': [1, 33], 'representative': 864741614825093045, 'size': 108}
  • id: 166440402
    {'aut_label': '2AF', 'centralizer': None, 'counter': 34, 'group_counter': 193, 'group_order': 663552, 'label': '2AG', 'order': 2, 'powers': [1, 34], 'representative': 372049230455653805, 'size': 108}
  • id: 166440413
    {'aut_label': '2AF', 'centralizer': None, 'counter': 35, 'group_counter': 193, 'group_order': 663552, 'label': '2AH', 'order': 2, 'powers': [1, 35], 'representative': 33122258507116805, 'size': 108}
  • id: 166440424
    {'aut_label': '2AF', 'centralizer': None, 'counter': 36, 'group_counter': 193, 'group_order': 663552, 'label': '2AI', 'order': 2, 'powers': [1, 36], 'representative': 398015626990111925, 'size': 108}
  • id: 166440435
    {'aut_label': '2AE', 'centralizer': None, 'counter': 37, 'group_counter': 193, 'group_order': 663552, 'label': '2AJ', 'order': 2, 'powers': [1, 37], 'representative': 732297646252200, 'size': 108}
  • id: 166440446
    {'aut_label': '2AK', 'centralizer': None, 'counter': 38, 'group_counter': 193, 'group_order': 663552, 'label': '2AK', 'order': 2, 'powers': [1, 38], 'representative': 20671803595285627, 'size': 216}
  • id: 166440457
    {'aut_label': '2AL', 'centralizer': None, 'counter': 39, 'group_counter': 193, 'group_order': 663552, 'label': '2AL', 'order': 2, 'powers': [1, 39], 'representative': 2789788785856, 'size': 216}
  • id: 166440469
    {'aut_label': '2AM', 'centralizer': None, 'counter': 40, 'group_counter': 193, 'group_order': 663552, 'label': '2AM', 'order': 2, 'powers': [1, 40], 'representative': 397659939547454640, 'size': 216}
  • id: 166440480
    {'aut_label': '2AK', 'centralizer': None, 'counter': 41, 'group_counter': 193, 'group_order': 663552, 'label': '2AN', 'order': 2, 'powers': [1, 41], 'representative': 615069876132764696, 'size': 216}
  • id: 166440482
    {'aut_label': '2AO', 'centralizer': None, 'counter': 42, 'group_counter': 193, 'group_order': 663552, 'label': '2AO', 'order': 2, 'powers': [1, 42], 'representative': 6405163411046416, 'size': 324}
  • id: 166440483
    {'aut_label': '2AO', 'centralizer': None, 'counter': 43, 'group_counter': 193, 'group_order': 663552, 'label': '2AP', 'order': 2, 'powers': [1, 43], 'representative': 6405163411218616, 'size': 324}
  • id: 166440484
    {'aut_label': '2AQ', 'centralizer': None, 'counter': 44, 'group_counter': 193, 'group_order': 663552, 'label': '2AQ', 'order': 2, 'powers': [1, 44], 'representative': 634589524977580216, 'size': 324}
  • id: 166440485
    {'aut_label': '2AR', 'centralizer': None, 'counter': 45, 'group_counter': 193, 'group_order': 663552, 'label': '2AR', 'order': 2, 'powers': [1, 45], 'representative': 87794784812165, 'size': 324}
  • id: 166440486
    {'aut_label': '2AS', 'centralizer': None, 'counter': 46, 'group_counter': 193, 'group_order': 663552, 'label': '2AS', 'order': 2, 'powers': [1, 46], 'representative': 858296088048269654, 'size': 432}
  • id: 166440487
    {'aut_label': '2AS', 'centralizer': None, 'counter': 47, 'group_counter': 193, 'group_order': 663552, 'label': '2AT', 'order': 2, 'powers': [1, 47], 'representative': 180788192098, 'size': 432}
  • id: 166440488
    {'aut_label': '2AU', 'centralizer': None, 'counter': 48, 'group_counter': 193, 'group_order': 663552, 'label': '2AU', 'order': 2, 'powers': [1, 48], 'representative': 514052031232684902, 'size': 576}
  • id: 166440489
    {'aut_label': '2AV', 'centralizer': None, 'counter': 49, 'group_counter': 193, 'group_order': 663552, 'label': '2AV', 'order': 2, 'powers': [1, 49], 'representative': 378098525779016827, 'size': 648}
  • id: 166440491
    {'aut_label': '2AW', 'centralizer': None, 'counter': 50, 'group_counter': 193, 'group_order': 663552, 'label': '2AW', 'order': 2, 'powers': [1, 50], 'representative': 621409475029986427, 'size': 1296}
  • id: 166440492
    {'aut_label': '2AW', 'centralizer': None, 'counter': 51, 'group_counter': 193, 'group_order': 663552, 'label': '2AX', 'order': 2, 'powers': [1, 51], 'representative': 371696152450233829, 'size': 1296}
  • id: 166440493
    {'aut_label': '2AY', 'centralizer': None, 'counter': 52, 'group_counter': 193, 'group_order': 663552, 'label': '2AY', 'order': 2, 'powers': [1, 52], 'representative': 1445154704905094, 'size': 2592}
  • id: 166440494
    {'aut_label': '3A', 'centralizer': '16.F', 'counter': 53, 'group_counter': 193, 'group_order': 663552, 'label': '3A', 'order': 3, 'powers': [53, 1], 'representative': 25937768, 'size': 16}
  • id: 166440495
    {'aut_label': '3B', 'centralizer': '16.K', 'counter': 54, 'group_counter': 193, 'group_order': 663552, 'label': '3B', 'order': 3, 'powers': [54, 1], 'representative': 85005060940800, 'size': 16}
  • id: 166440496
    {'aut_label': '3C', 'centralizer': '32.W', 'counter': 55, 'group_counter': 193, 'group_order': 663552, 'label': '3C', 'order': 3, 'powers': [55, 1], 'representative': 388211278, 'size': 32}
  • id: 166440497
    {'aut_label': '3D', 'centralizer': '32.X', 'counter': 56, 'group_counter': 193, 'group_order': 663552, 'label': '3D', 'order': 3, 'powers': [56, 1], 'representative': 391800142, 'size': 32}
  • id: 166440498
    {'aut_label': '3E', 'centralizer': None, 'counter': 57, 'group_counter': 193, 'group_order': 663552, 'label': '3E', 'order': 3, 'powers': [57, 1], 'representative': 1506440871936000, 'size': 64}
  • id: 166440499
    {'aut_label': '3F', 'centralizer': None, 'counter': 58, 'group_counter': 193, 'group_order': 663552, 'label': '3F', 'order': 3, 'powers': [58, 1], 'representative': 85005086878568, 'size': 128}
  • id: 166440500
    {'aut_label': '3F', 'centralizer': None, 'counter': 59, 'group_counter': 193, 'group_order': 663552, 'label': '3G', 'order': 3, 'powers': [59, 1], 'representative': 85005427172703, 'size': 128}
  • id: 166440502
    {'aut_label': '3H', 'centralizer': None, 'counter': 60, 'group_counter': 193, 'group_order': 663552, 'label': '3H', 'order': 3, 'powers': [60, 1], 'representative': 85005452740942, 'size': 512}
  • id: 166440503
    {'aut_label': '3I', 'centralizer': None, 'counter': 61, 'group_counter': 193, 'group_order': 663552, 'label': '3I', 'order': 3, 'powers': [61, 1], 'representative': 85005449152078, 'size': 512}
  • id: 166440504
    {'aut_label': '3J', 'centralizer': None, 'counter': 62, 'group_counter': 193, 'group_order': 663552, 'label': '3J', 'order': 3, 'powers': [62, 1], 'representative': 378536515937797261, 'size': 1024}
  • id: 166440505
    {'aut_label': '3K', 'centralizer': None, 'counter': 63, 'group_counter': 193, 'group_order': 663552, 'label': '3K', 'order': 3, 'powers': [63, 1], 'representative': 32077426995215955, 'size': 2048}
  • id: 166440506
    {'aut_label': '3L', 'centralizer': None, 'counter': 64, 'group_counter': 193, 'group_order': 663552, 'label': '3L', 'order': 3, 'powers': [64, 1], 'representative': 622497641068317116, 'size': 2048}
  • id: 166440507
    {'aut_label': '4A', 'centralizer': '12.O', 'counter': 65, 'group_counter': 193, 'group_order': 663552, 'label': '4A', 'order': 4, 'powers': [3, 65], 'representative': 32032878496819200, 'size': 12}
  • id: 166440508
    {'aut_label': '4A', 'centralizer': '12.O', 'counter': 66, 'group_counter': 193, 'group_order': 663552, 'label': '4B', 'order': 4, 'powers': [3, 66], 'representative': 32032878594974656, 'size': 12}
  • id: 166440509
    {'aut_label': '4C', 'centralizer': '36.EJ', 'counter': 67, 'group_counter': 193, 'group_order': 663552, 'label': '4C', 'order': 4, 'powers': [3, 67], 'representative': 32032878515498896, 'size': 36}
  • id: 166440510
    {'aut_label': '4C', 'centralizer': '36.EJ', 'counter': 68, 'group_counter': 193, 'group_order': 663552, 'label': '4D', 'order': 4, 'powers': [3, 68], 'representative': 32032878496824245, 'size': 36}
  • id: 166440511
    {'aut_label': '4C', 'centralizer': '36.EJ', 'counter': 69, 'group_counter': 193, 'group_order': 663552, 'label': '4E', 'order': 4, 'powers': [3, 69], 'representative': 32032878580286656, 'size': 36}
  • id: 166440513
    {'aut_label': '4C', 'centralizer': '36.EJ', 'counter': 70, 'group_counter': 193, 'group_order': 663552, 'label': '4F', 'order': 4, 'powers': [3, 70], 'representative': 32032878496986374, 'size': 36}
  • id: 166440514
    {'aut_label': '4G', 'centralizer': '36.DX', 'counter': 71, 'group_counter': 193, 'group_order': 663552, 'label': '4G', 'order': 4, 'powers': [3, 71], 'representative': 864680060724480000, 'size': 36}
  • id: 166440515
    {'aut_label': '4G', 'centralizer': '36.DX', 'counter': 72, 'group_counter': 193, 'group_order': 663552, 'label': '4H', 'order': 4, 'powers': [3, 72], 'representative': 864680060822635456, 'size': 36}
  • id: 166440516
    {'aut_label': '4I', 'centralizer': '36.CP', 'counter': 73, 'group_counter': 193, 'group_order': 663552, 'label': '4I', 'order': 4, 'powers': [10, 73], 'representative': 890285632524288000, 'size': 36}
  • id: 166440517
    {'aut_label': '4J', 'centralizer': '36.CP', 'counter': 74, 'group_counter': 193, 'group_order': 663552, 'label': '4J', 'order': 4, 'powers': [10, 74], 'representative': 890285632622443456, 'size': 36}
  • id: 166440518
    {'aut_label': '4K', 'centralizer': None, 'counter': 75, 'group_counter': 193, 'group_order': 663552, 'label': '4K', 'order': 4, 'powers': [4, 75], 'representative': 240937, 'size': 72}
  • id: 166440519
    {'aut_label': '4L', 'centralizer': None, 'counter': 76, 'group_counter': 193, 'group_order': 663552, 'label': '4L', 'order': 4, 'powers': [7, 76], 'representative': 22174627, 'size': 72}
  • id: 166440520
    {'aut_label': '4K', 'centralizer': None, 'counter': 77, 'group_counter': 193, 'group_order': 663552, 'label': '4M', 'order': 4, 'powers': [4, 77], 'representative': 87130507, 'size': 72}
  • id: 166440521
    {'aut_label': '4N', 'centralizer': None, 'counter': 78, 'group_counter': 193, 'group_order': 663552, 'label': '4N', 'order': 4, 'powers': [3, 78], 'representative': 32032965675110400, 'size': 72}
  • id: 166440522
    {'aut_label': '4O', 'centralizer': None, 'counter': 79, 'group_counter': 193, 'group_order': 663552, 'label': '4O', 'order': 4, 'powers': [3, 79], 'representative': 32032965773265856, 'size': 72}
  • id: 166440524
    {'aut_label': '4P', 'centralizer': None, 'counter': 80, 'group_counter': 193, 'group_order': 663552, 'label': '4P', 'order': 4, 'powers': [3, 80], 'representative': 622538004247493774, 'size': 108}
  • id: 166440525
    {'aut_label': '4Q', 'centralizer': None, 'counter': 81, 'group_counter': 193, 'group_order': 663552, 'label': '4Q', 'order': 4, 'powers': [3, 81], 'representative': 32032878496819216, 'size': 108}
  • id: 166440526
    {'aut_label': '4P', 'centralizer': None, 'counter': 82, 'group_counter': 193, 'group_order': 663552, 'label': '4R', 'order': 4, 'powers': [3, 82], 'representative': 891437874309561605, 'size': 108}
  • id: 166440527
    {'aut_label': '4Q', 'centralizer': None, 'counter': 83, 'group_counter': 193, 'group_order': 663552, 'label': '4S', 'order': 4, 'powers': [3, 83], 'representative': 20673111280687925, 'size': 108}
  • id: 166440528
    {'aut_label': '4P', 'centralizer': None, 'counter': 84, 'group_counter': 193, 'group_order': 663552, 'label': '4T', 'order': 4, 'powers': [3, 84], 'representative': 878988633677815696, 'size': 108}
  • id: 166440529
    {'aut_label': '4P', 'centralizer': None, 'counter': 85, 'group_counter': 193, 'group_order': 663552, 'label': '4U', 'order': 4, 'powers': [3, 85], 'representative': 384500899495779134, 'size': 108}
  • id: 166440530
    {'aut_label': '4V', 'centralizer': None, 'counter': 86, 'group_counter': 193, 'group_order': 663552, 'label': '4V', 'order': 4, 'powers': [4, 86], 'representative': 6405076617395997, 'size': 216}
  • id: 166440531
    {'aut_label': '4W', 'centralizer': None, 'counter': 87, 'group_counter': 193, 'group_order': 663552, 'label': '4W', 'order': 4, 'powers': [10, 87], 'representative': 398078488667226374, 'size': 216}
  • id: 166440532
    {'aut_label': '4X', 'centralizer': None, 'counter': 88, 'group_counter': 193, 'group_order': 663552, 'label': '4X', 'order': 4, 'powers': [7, 88], 'representative': 6405076254920469, 'size': 216}
  • id: 166440533
    {'aut_label': '4V', 'centralizer': None, 'counter': 89, 'group_counter': 193, 'group_order': 663552, 'label': '4Y', 'order': 4, 'powers': [4, 89], 'representative': 858339241342330440, 'size': 216}
  • id: 166440535
    {'aut_label': '4Z', 'centralizer': None, 'counter': 90, 'group_counter': 193, 'group_order': 663552, 'label': '4Z', 'order': 4, 'powers': [3, 90], 'representative': 33120950832753856, 'size': 216}
  • id: 166440536
    {'aut_label': '4AA', 'centralizer': None, 'counter': 91, 'group_counter': 193, 'group_order': 663552, 'label': '4AA', 'order': 4, 'powers': [3, 91], 'representative': 32032965675277574, 'size': 216}
  • id: 166440537
    {'aut_label': '4AA', 'centralizer': None, 'counter': 92, 'group_counter': 193, 'group_order': 663552, 'label': '4AB', 'order': 4, 'powers': [3, 92], 'representative': 385566566908728245, 'size': 216}
  • id: 166440538
    {'aut_label': '4V', 'centralizer': None, 'counter': 93, 'group_counter': 193, 'group_order': 663552, 'label': '4AC', 'order': 4, 'powers': [4, 93], 'representative': 615069875946390457, 'size': 216}
  • id: 166440539
    {'aut_label': '4Z', 'centralizer': None, 'counter': 94, 'group_counter': 193, 'group_order': 663552, 'label': '4AD', 'order': 4, 'powers': [3, 94], 'representative': 33120950847436814, 'size': 216}
  • id: 166440540
    {'aut_label': '4V', 'centralizer': None, 'counter': 95, 'group_counter': 193, 'group_order': 663552, 'label': '4AE', 'order': 4, 'powers': [4, 95], 'representative': 371693543045720541, 'size': 216}
  • id: 166440541
    {'aut_label': '4X', 'centralizer': None, 'counter': 96, 'group_counter': 193, 'group_order': 663552, 'label': '4AF', 'order': 4, 'powers': [7, 96], 'representative': 858339241152623905, 'size': 216}
  • id: 166440542
    {'aut_label': '4AG', 'centralizer': None, 'counter': 97, 'group_counter': 193, 'group_order': 663552, 'label': '4AG', 'order': 4, 'powers': [10, 97], 'representative': 384542751367525805, 'size': 216}
  • id: 166440543
    {'aut_label': '4AH', 'centralizer': None, 'counter': 98, 'group_counter': 193, 'group_order': 663552, 'label': '4AH', 'order': 4, 'powers': [3, 98], 'representative': 378140377578163216, 'size': 324}
  • id: 166440544
    {'aut_label': '4AH', 'centralizer': None, 'counter': 99, 'group_counter': 193, 'group_order': 663552, 'label': '4AI', 'order': 4, 'powers': [3, 99], 'representative': 378140377578335416, 'size': 324}
  • id: 166440137
    {'aut_label': '4AJ', 'centralizer': None, 'counter': 100, 'group_counter': 193, 'group_order': 663552, 'label': '4AJ', 'order': 4, 'powers': [10, 100], 'representative': 865454203950341054, 'size': 324}
  • id: 166440138
    {'aut_label': '4AK', 'centralizer': None, 'counter': 101, 'group_counter': 193, 'group_order': 663552, 'label': '4AK', 'order': 4, 'powers': [10, 101], 'representative': 622185106589797814, 'size': 324}
  • id: 166440139
    {'aut_label': '4AL', 'centralizer': None, 'counter': 102, 'group_counter': 193, 'group_order': 663552, 'label': '4AL', 'order': 4, 'powers': [7, 102], 'representative': 180975456695, 'size': 432}
  • id: 166440140
    {'aut_label': '4AL', 'centralizer': None, 'counter': 103, 'group_counter': 193, 'group_order': 663552, 'label': '4AM', 'order': 4, 'powers': [7, 103], 'representative': 19583731353915476, 'size': 432}
  • id: 166440141
    {'aut_label': '4AN', 'centralizer': None, 'counter': 104, 'group_counter': 193, 'group_order': 663552, 'label': '4AN', 'order': 4, 'powers': [4, 104], 'representative': 180755290936, 'size': 432}
  • id: 166440142
    {'aut_label': '4AO', 'centralizer': None, 'counter': 105, 'group_counter': 193, 'group_order': 663552, 'label': '4AO', 'order': 4, 'powers': [14, 105], 'representative': 33120863672792541, 'size': 432}
  • id: 166440143
    {'aut_label': '4AP', 'centralizer': None, 'counter': 106, 'group_counter': 193, 'group_order': 663552, 'label': '4AP', 'order': 4, 'powers': [3, 106], 'representative': 32032878519155181, 'size': 432}
  • id: 166440144
    {'aut_label': '4AN', 'centralizer': None, 'counter': 107, 'group_counter': 193, 'group_order': 663552, 'label': '4AQ', 'order': 4, 'powers': [4, 107], 'representative': 180763148932, 'size': 432}
  • id: 166440145
    {'aut_label': '4AO', 'centralizer': None, 'counter': 108, 'group_counter': 193, 'group_order': 663552, 'label': '4AR', 'order': 4, 'powers': [14, 108], 'representative': 32032878719789640, 'size': 432}
  • id: 166440146
    {'aut_label': '4AO', 'centralizer': None, 'counter': 109, 'group_counter': 193, 'group_order': 663552, 'label': '4AS', 'order': 4, 'powers': [16, 109], 'representative': 858339154329257925, 'size': 432}
  • id: 166440148
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  • id: 166440149
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  • id: 166440150
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  • id: 166440151
    {'aut_label': '4AT', 'centralizer': None, 'counter': 113, 'group_counter': 193, 'group_order': 663552, 'label': '4AW', 'order': 4, 'powers': [28, 113], 'representative': 371778367533834217, 'size': 432}
  • id: 166440152
    {'aut_label': '4AN', 'centralizer': None, 'counter': 114, 'group_counter': 193, 'group_order': 663552, 'label': '4AX', 'order': 4, 'powers': [4, 114], 'representative': 371693362827974797, 'size': 432}
  • id: 166440153
    {'aut_label': '4AP', 'centralizer': None, 'counter': 115, 'group_counter': 193, 'group_order': 663552, 'label': '4AY', 'order': 4, 'powers': [3, 115], 'representative': 371736696424716506, 'size': 432}
  • id: 166440154
    {'aut_label': '4AZ', 'centralizer': None, 'counter': 116, 'group_counter': 193, 'group_order': 663552, 'label': '4AZ', 'order': 4, 'powers': [2, 116], 'representative': 507587063686625980, 'size': 576}
  • id: 166440155
    {'aut_label': '4BA', 'centralizer': None, 'counter': 117, 'group_counter': 193, 'group_order': 663552, 'label': '4BA', 'order': 4, 'powers': [3, 117], 'representative': 7137461057126416, 'size': 648}
  • id: 166440156
    {'aut_label': '4BB', 'centralizer': None, 'counter': 118, 'group_counter': 193, 'group_order': 663552, 'label': '4BB', 'order': 4, 'powers': [3, 118], 'representative': 7137461057298616, 'size': 648}
  • id: 166440157
    {'aut_label': '4BC', 'centralizer': None, 'counter': 119, 'group_counter': 193, 'group_order': 663552, 'label': '4BC', 'order': 4, 'powers': [4, 119], 'representative': 378098525771597979, 'size': 648}
  • id: 166440159
    {'aut_label': '4BD', 'centralizer': None, 'counter': 120, 'group_counter': 193, 'group_order': 663552, 'label': '4BD', 'order': 4, 'powers': [7, 120], 'representative': 378098525779137741, 'size': 648}
  • id: 166440160
    {'aut_label': '4BC', 'centralizer': None, 'counter': 121, 'group_counter': 193, 'group_order': 663552, 'label': '4BE', 'order': 4, 'powers': [4, 121], 'representative': 378098525858487549, 'size': 648}
  • id: 166440161
    {'aut_label': '4BF', 'centralizer': None, 'counter': 122, 'group_counter': 193, 'group_order': 663552, 'label': '4BF', 'order': 4, 'powers': [16, 122], 'representative': 634278298851446797, 'size': 1296}
  • id: 166440162
    {'aut_label': '4BG', 'centralizer': None, 'counter': 123, 'group_counter': 193, 'group_order': 663552, 'label': '4BG', 'order': 4, 'powers': [28, 123], 'representative': 398100538767093920, 'size': 1296}
  • id: 166440163
    {'aut_label': '4BF', 'centralizer': None, 'counter': 124, 'group_counter': 193, 'group_order': 663552, 'label': '4BH', 'order': 4, 'powers': [14, 124], 'representative': 398079796341749499, 'size': 1296}
  • id: 166440164
    {'aut_label': '4BI', 'centralizer': None, 'counter': 125, 'group_counter': 193, 'group_order': 663552, 'label': '4BI', 'order': 4, 'powers': [3, 125], 'representative': 635342926385168317, 'size': 1296}
  • id: 166440165
    {'aut_label': '4BJ', 'centralizer': None, 'counter': 126, 'group_counter': 193, 'group_order': 663552, 'label': '4BJ', 'order': 4, 'powers': [7, 126], 'representative': 397660026846862252, 'size': 1296}
  • id: 166440166
    {'aut_label': '4BJ', 'centralizer': None, 'counter': 127, 'group_counter': 193, 'group_order': 663552, 'label': '4BK', 'order': 4, 'powers': [7, 127], 'representative': 33122258525299741, 'size': 1296}
  • id: 166440167
    {'aut_label': '4BL', 'centralizer': None, 'counter': 128, 'group_counter': 193, 'group_order': 663552, 'label': '4BL', 'order': 4, 'powers': [4, 128], 'representative': 6405163633900080, 'size': 1296}
  • id: 166440168
    {'aut_label': '4BL', 'centralizer': None, 'counter': 129, 'group_counter': 193, 'group_order': 663552, 'label': '4BM', 'order': 4, 'powers': [4, 129], 'representative': 878967891675821656, 'size': 1296}
  • id: 166440170
    {'aut_label': '4BL', 'centralizer': None, 'counter': 130, 'group_counter': 193, 'group_order': 663552, 'label': '4BN', 'order': 4, 'powers': [4, 130], 'representative': 641036359783335736, 'size': 1296}
  • id: 166440171
    {'aut_label': '4BF', 'centralizer': None, 'counter': 131, 'group_counter': 193, 'group_order': 663552, 'label': '4BO', 'order': 4, 'powers': [16, 131], 'representative': 385629428796428806, 'size': 1296}
  • id: 166440172
    {'aut_label': '4BL', 'centralizer': None, 'counter': 132, 'group_counter': 193, 'group_order': 663552, 'label': '4BP', 'order': 4, 'powers': [4, 132], 'representative': 20671891154110479, 'size': 1296}
  • id: 166440173
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  • id: 166440174
    {'aut_label': '4BF', 'centralizer': None, 'counter': 134, 'group_counter': 193, 'group_order': 663552, 'label': '4BR', 'order': 4, 'powers': [14, 134], 'representative': 398079796794525765, 'size': 1296}
  • id: 166440175
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  • id: 166440176
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  • id: 166440177
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  • id: 166440178
    {'aut_label': '4BV', 'centralizer': None, 'counter': 138, 'group_counter': 193, 'group_order': 663552, 'label': '4BV', 'order': 4, 'powers': [10, 138], 'representative': 134451249259036997, 'size': 1728}
  • id: 166440179
    {'aut_label': '4BW', 'centralizer': None, 'counter': 139, 'group_counter': 193, 'group_order': 663552, 'label': '4BW', 'order': 4, 'powers': [8, 139], 'representative': 750525406513431127, 'size': 1728}
  • id: 166440181
    {'aut_label': '4BX', 'centralizer': None, 'counter': 140, 'group_counter': 193, 'group_order': 663552, 'label': '4BX', 'order': 4, 'powers': [30, 140], 'representative': 378539037782115116, 'size': 2592}
  • id: 166440182
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  • id: 166440183
    {'aut_label': '4BZ', 'centralizer': None, 'counter': 142, 'group_counter': 193, 'group_order': 663552, 'label': '4BZ', 'order': 4, 'powers': [16, 142], 'representative': 864677451814364280, 'size': 2592}
  • id: 166440184
    {'aut_label': '4CA', 'centralizer': None, 'counter': 143, 'group_counter': 193, 'group_order': 663552, 'label': '4CA', 'order': 4, 'powers': [28, 143], 'representative': 622141772752109998, 'size': 2592}
  • id: 166440185
    {'aut_label': '4CB', 'centralizer': None, 'counter': 144, 'group_counter': 193, 'group_order': 663552, 'label': '4CB', 'order': 4, 'powers': [4, 144], 'representative': 6402554296990981, 'size': 2592}
  • id: 166440186
    {'aut_label': '4CC', 'centralizer': None, 'counter': 145, 'group_counter': 193, 'group_order': 663552, 'label': '4CC', 'order': 4, 'powers': [27, 145], 'representative': 890285632890774229, 'size': 2592}
  • id: 166440187
    {'aut_label': '4CA', 'centralizer': None, 'counter': 146, 'group_counter': 193, 'group_order': 663552, 'label': '4CD', 'order': 4, 'powers': [28, 146], 'representative': 7158296687461318, 'size': 2592}
  • id: 166440188
    {'aut_label': '4CC', 'centralizer': None, 'counter': 147, 'group_counter': 193, 'group_order': 663552, 'label': '4CE', 'order': 4, 'powers': [27, 147], 'representative': 878905029871865194, 'size': 2592}
  • id: 166440189
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  • id: 166440190
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  • id: 166440192
    {'aut_label': '4CB', 'centralizer': None, 'counter': 150, 'group_counter': 193, 'group_order': 663552, 'label': '4CH', 'order': 4, 'powers': [4, 150], 'representative': 1509230679051741, 'size': 2592}
  • id: 166440193
    {'aut_label': '4CI', 'centralizer': None, 'counter': 151, 'group_counter': 193, 'group_order': 663552, 'label': '4CI', 'order': 4, 'powers': [10, 151], 'representative': 397387856122467099, 'size': 2592}
  • id: 166440194
    {'aut_label': '4CJ', 'centralizer': None, 'counter': 152, 'group_counter': 193, 'group_order': 663552, 'label': '4CJ', 'order': 4, 'powers': [7, 152], 'representative': 19583912306747829, 'size': 2592}
  • id: 166440195
    {'aut_label': '4BZ', 'centralizer': None, 'counter': 153, 'group_counter': 193, 'group_order': 663552, 'label': '4CK', 'order': 4, 'powers': [14, 153], 'representative': 891416951622863090, 'size': 2592}
  • id: 166440196
    {'aut_label': '4BZ', 'centralizer': None, 'counter': 154, 'group_counter': 193, 'group_order': 663552, 'label': '4CL', 'order': 4, 'powers': [16, 154], 'representative': 877526834397533398, 'size': 2592}
  • id: 166440197
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  • id: 166440198
    {'aut_label': '4CN', 'centralizer': None, 'counter': 156, 'group_counter': 193, 'group_order': 663552, 'label': '4CN', 'order': 4, 'powers': [24, 156], 'representative': 750902103821186537, 'size': 3456}
  • id: 166440199
    {'aut_label': '4CO', 'centralizer': None, 'counter': 157, 'group_counter': 193, 'group_order': 663552, 'label': '4CO', 'order': 4, 'powers': [31, 157], 'representative': 161503189918586384, 'size': 5184}
  • id: 166440200
    {'aut_label': '4CP', 'centralizer': None, 'counter': 158, 'group_counter': 193, 'group_order': 663552, 'label': '4CP', 'order': 4, 'powers': [30, 158], 'representative': 768309690795388703, 'size': 5184}
  • id: 166440201
    {'aut_label': '4CQ', 'centralizer': None, 'counter': 159, 'group_counter': 193, 'group_order': 663552, 'label': '4CQ', 'order': 4, 'powers': [44, 159], 'representative': 487314013430279622, 'size': 10368}
  • id: 166440203
    {'aut_label': '4CR', 'centralizer': None, 'counter': 160, 'group_counter': 193, 'group_order': 663552, 'label': '4CR', 'order': 4, 'powers': [45, 160], 'representative': 122776245122418630, 'size': 10368}
  • id: 166440204
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  • id: 166440205
    {'aut_label': '6B', 'centralizer': '16.K', 'counter': 162, 'group_counter': 193, 'group_order': 663552, 'label': '6B', 'order': 6, 'powers': [54, 2], 'representative': 43333935902656, 'size': 16}
  • id: 166440206
    {'aut_label': '6C', 'centralizer': '32.W', 'counter': 163, 'group_counter': 193, 'group_order': 663552, 'label': '6C', 'order': 6, 'powers': [55, 2], 'representative': 186590853, 'size': 32}
  • id: 166440207
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  • id: 166440208
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  • id: 166440209
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  • id: 166440210
    {'aut_label': '6G', 'centralizer': None, 'counter': 167, 'group_counter': 193, 'group_order': 663552, 'label': '6G', 'order': 6, 'powers': [54, 5], 'representative': 43333856426896, 'size': 48}
  • id: 166440211
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  • id: 166440212
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  • id: 166440214
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  • id: 166440215
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  • id: 166440216
    {'aut_label': '6L', 'centralizer': None, 'counter': 172, 'group_counter': 193, 'group_order': 663552, 'label': '6L', 'order': 6, 'powers': [53, 3], 'representative': 20671803613405946, 'size': 48}
  • id: 166440217
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  • id: 166440218
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  • id: 166440219
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  • id: 166440220
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  • id: 166440221
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  • id: 166440222
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  • id: 166440223
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  • id: 166440225
    {'aut_label': '6R', 'centralizer': None, 'counter': 180, 'group_counter': 193, 'group_order': 663552, 'label': '6T', 'order': 6, 'powers': [53, 11], 'representative': 180748098301, 'size': 96}
  • id: 166440226
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  • id: 166440227
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  • id: 166440228
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  • id: 166440229
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  • id: 166440230
    {'aut_label': '6X', 'centralizer': None, 'counter': 185, 'group_counter': 193, 'group_order': 663552, 'label': '6Y', 'order': 6, 'powers': [59, 2], 'representative': 43334017200909, 'size': 128}
  • id: 166440231
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  • id: 166440232
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  • id: 166440233
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  • id: 166440234
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  • id: 166440236
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  • id: 166440237
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  • id: 166440238
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  • id: 166440239
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  • id: 166440240
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  • id: 166440241
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  • id: 166440242
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  • id: 166440243
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  • id: 166440244
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  • id: 166440245
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  • id: 166440248
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  • id: 166440249
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  • id: 166440250
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  • id: 166440251
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  • id: 166440252
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  • id: 166440253
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  • id: 166440254
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  • id: 166440255
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  • id: 166440256
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  • id: 166440257
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  • id: 166440259
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  • id: 166440260
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  • id: 166440261
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  • id: 166440262
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  • id: 166440263
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  • id: 166440264
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  • id: 166440265
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  • id: 166440266
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  • id: 166440267
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  • id: 166440268
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  • id: 166440270
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  • id: 166440271
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  • id: 166440272
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  • id: 166440273
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  • id: 166440274
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  • id: 166440275
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  • id: 166440276
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  • id: 166440277
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  • id: 166440278
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  • id: 166440279
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  • id: 166440281
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  • id: 166440282
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  • id: 166440283
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  • id: 166440284
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  • id: 166440285
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  • id: 166440286
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  • id: 166440287
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  • id: 166440288
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  • id: 166440289
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  • id: 166440290
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  • id: 166440292
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  • id: 166440293
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  • id: 166440294
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  • id: 166440295
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  • id: 166440296
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  • id: 166440297
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  • id: 166440298
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  • id: 166440299
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  • id: 166440300
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  • id: 166440301
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  • id: 166440303
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  • id: 166440304
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  • id: 166440305
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  • id: 166440306
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  • id: 166440307
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  • id: 166440308
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  • id: 166440309
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  • id: 166440310
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  • id: 166440311
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  • id: 166440312
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  • id: 166440314
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  • id: 166440315
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  • id: 166440316
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  • id: 166440317
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  • id: 166440318
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  • id: 166440319
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  • id: 166440320
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  • id: 166440321
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  • id: 166440322
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  • id: 166440323
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  • id: 166440325
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  • id: 166440326
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  • id: 166440327
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  • id: 166440328
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  • id: 166440329
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  • id: 166440330
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  • id: 166440331
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  • id: 166440332
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  • id: 166440333
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  • id: 166440334
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  • id: 166440336
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  • id: 166440337
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  • id: 166440338
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  • id: 166440339
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  • id: 166440340
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  • id: 166440341
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  • id: 166440342
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  • id: 166440343
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  • id: 166440344
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  • id: 166440345
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  • id: 166440347
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  • id: 166440348
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  • id: 166440349
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  • id: 166440350
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  • id: 166440351
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  • id: 166440352
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  • id: 166440353
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  • id: 166440354
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  • id: 166440355
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  • id: 166440356
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  • id: 166440359
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  • id: 166440360
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  • id: 166440361
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  • id: 166440362
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  • id: 166440363
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  • id: 166440364
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  • id: 166440365
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  • id: 166440366
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  • id: 166440367
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  • id: 166440368
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  • id: 166440370
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  • id: 166440371
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  • id: 166440372
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  • id: 166440373
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  • id: 166440374
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  • id: 166440375
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  • id: 166440376
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  • id: 166440377
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  • id: 166440378
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  • id: 166440379
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  • id: 166440381
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  • id: 166440382
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  • id: 166440383
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  • id: 166440384
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  • id: 166440385
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  • id: 166440386
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  • id: 166440387
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  • id: 166440388
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  • id: 166440389
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  • id: 166440390
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  • id: 166440392
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  • id: 166440393
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  • id: 166440394
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  • id: 166440395
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  • id: 166440396
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  • id: 166440397
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  • id: 166440398
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  • id: 166440399
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  • id: 166440400
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  • id: 166440401
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  • id: 166440403
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  • id: 166440404
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  • id: 166440405
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  • id: 166440406
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  • id: 166440407
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  • id: 166440408
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  • id: 166440409
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  • id: 166440410
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  • id: 166440411
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  • id: 166440412
    {'aut_label': '12AW', 'centralizer': None, 'counter': 349, 'group_counter': 193, 'group_order': 663552, 'label': '12AY', 'order': 12, 'powers': [200, 72], 'representative': 622184926145609265, 'size': 1152}
  • id: 166440414
    {'aut_label': '12AZ', 'centralizer': None, 'counter': 350, 'group_counter': 193, 'group_order': 663552, 'label': '12AZ', 'order': 12, 'powers': [217, 74], 'representative': 397367114044763445, 'size': 1152}
  • id: 166440415
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  • id: 166440416
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  • id: 166440417
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  • id: 166440418
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  • id: 166440419
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  • id: 166440420
    {'aut_label': '12BF', 'centralizer': None, 'counter': 356, 'group_counter': 193, 'group_order': 663552, 'label': '12BF', 'order': 12, 'powers': [173, 91], 'representative': 7137461502985341, 'size': 1728}
  • id: 166440421
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  • id: 166440422
    {'aut_label': '12BA', 'centralizer': None, 'counter': 358, 'group_counter': 193, 'group_order': 663552, 'label': '12BH', 'order': 12, 'powers': [175, 93], 'representative': 634275689381943836, 'size': 1728}
  • id: 166440423
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  • id: 166440425
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  • id: 166440426
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  • id: 166440427
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  • id: 166440428
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  • id: 166440429
    {'aut_label': '12BM', 'centralizer': None, 'counter': 364, 'group_counter': 193, 'group_order': 663552, 'label': '12BN', 'order': 12, 'powers': [230, 69], 'representative': 622141953456521223, 'size': 2304}
  • id: 166440430
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  • id: 166440431
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  • id: 166440432
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  • id: 166440433
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  • id: 166440434
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  • id: 166440436
    {'aut_label': '12BT', 'centralizer': None, 'counter': 370, 'group_counter': 193, 'group_order': 663552, 'label': '12BT', 'order': 12, 'powers': [200, 78], 'representative': 621472336969185943, 'size': 2304}
  • id: 166440437
    {'aut_label': '12BU1', 'centralizer': None, 'counter': 371, 'group_counter': 193, 'group_order': 663552, 'label': '12BU1', 'order': 12, 'powers': [164, 116], 'representative': 507587063565409656, 'size': 2304}
  • id: 166440438
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  • id: 166440439
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  • id: 166440440
    {'aut_label': '12BW', 'centralizer': None, 'counter': 374, 'group_counter': 193, 'group_order': 663552, 'label': '12BW', 'order': 12, 'powers': [269, 66], 'representative': 32095560141349796, 'size': 3072}
  • id: 166440441
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  • id: 166440442
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  • id: 166440443
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  • id: 166440444
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  • id: 166440445
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  • id: 166440447
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  • id: 166440448
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  • id: 166440449
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  • id: 166440450
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  • id: 166440451
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  • id: 166440452
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  • id: 166440453
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  • id: 166440454
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  • id: 166440455
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  • id: 166440456
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  • id: 166440458
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  • id: 166440459
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  • id: 166440460
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  • id: 166440461
    {'aut_label': '12CO', 'centralizer': None, 'counter': 393, 'group_counter': 193, 'group_order': 663552, 'label': '12CP', 'order': 12, 'powers': [231, 75], 'representative': 622455702140984151, 'size': 4608}
  • id: 166440462
    {'aut_label': '12CQ', 'centralizer': None, 'counter': 394, 'group_counter': 193, 'group_order': 663552, 'label': '12CQ', 'order': 12, 'powers': [242, 76], 'representative': 1485698778219579, 'size': 4608}
  • id: 166440463
    {'aut_label': '12CR1', 'centralizer': None, 'counter': 395, 'group_counter': 193, 'group_order': 663552, 'label': '12CR1', 'order': 12, 'powers': [216, 137], 'representative': 507610595537081897, 'size': 6912}
  • id: 166440464
    {'aut_label': '12CR1', 'centralizer': None, 'counter': 396, 'group_counter': 193, 'group_order': 663552, 'label': '12CR5', 'order': 12, 'powers': [216, 137], 'representative': 507610595310808790, 'size': 6912}
  • id: 166440465
    {'aut_label': '12CS1', 'centralizer': None, 'counter': 397, 'group_counter': 193, 'group_order': 663552, 'label': '12CS1', 'order': 12, 'powers': [217, 138], 'representative': 243649811556594800, 'size': 6912}
  • id: 166440466
    {'aut_label': '12CS1', 'centralizer': None, 'counter': 398, 'group_counter': 193, 'group_order': 663552, 'label': '12CS-1', 'order': 12, 'powers': [217, 138], 'representative': 134451249154420575, 'size': 6912}
  • id: 166440467
    {'aut_label': '12CT', 'centralizer': None, 'counter': 399, 'group_counter': 193, 'group_order': 663552, 'label': '12CT', 'order': 12, 'powers': [242, 136], 'representative': 283190142012706218, 'size': 13824}
  • id: 166440470
    {'aut_label': '12CU', 'centralizer': None, 'counter': 400, 'group_counter': 193, 'group_order': 663552, 'label': '12CU', 'order': 12, 'powers': [243, 139], 'representative': 243712585910633047, 'size': 13824}
  • id: 166440471
    {'aut_label': '12CV1', 'centralizer': None, 'counter': 401, 'group_counter': 193, 'group_order': 663552, 'label': '12CV1', 'order': 12, 'powers': [255, 155], 'representative': 257897010742472419, 'size': 13824}
  • id: 166440472
    {'aut_label': '12CV1', 'centralizer': None, 'counter': 402, 'group_counter': 193, 'group_order': 663552, 'label': '12CV-1', 'order': 12, 'powers': [255, 155], 'representative': 749080432604629546, 'size': 13824}
  • id: 166440473
    {'aut_label': '12CW1', 'centralizer': None, 'counter': 403, 'group_counter': 193, 'group_order': 663552, 'label': '12CW1', 'order': 12, 'powers': [256, 156], 'representative': 769376927399565202, 'size': 13824}
  • id: 166440474
    {'aut_label': '12CW1', 'centralizer': None, 'counter': 404, 'group_counter': 193, 'group_order': 663552, 'label': '12CW5', 'order': 12, 'powers': [256, 156], 'representative': 769376927463623317, 'size': 13824}
  • id: 166440475
    {'aut_label': '12CX1', 'centralizer': None, 'counter': 405, 'group_counter': 193, 'group_order': 663552, 'label': '12CX1', 'order': 12, 'powers': [275, 116], 'representative': 513319820646440203, 'size': 18432}
  • id: 166440476
    {'aut_label': '12CX1', 'centralizer': None, 'counter': 406, 'group_counter': 193, 'group_order': 663552, 'label': '12CX5', 'order': 12, 'powers': [275, 116], 'representative': 526459239239936882, 'size': 18432}
  • id: 166440477
    {'aut_label': '24A1', 'centralizer': None, 'counter': 407, 'group_counter': 193, 'group_order': 663552, 'label': '24A1', 'order': 24, 'powers': [343, 295], 'representative': 283189961255758717, 'size': 13824}
  • id: 166440478
    {'aut_label': '24A1', 'centralizer': None, 'counter': 408, 'group_counter': 193, 'group_order': 663552, 'label': '24A5', 'order': 24, 'powers': [343, 295], 'representative': 730585994013813364, 'size': 13824}
  • id: 166440479
    {'aut_label': '24B1', 'centralizer': None, 'counter': 409, 'group_counter': 193, 'group_order': 663552, 'label': '24B1', 'order': 24, 'powers': [345, 296], 'representative': 257915231229763544, 'size': 13824}
  • id: 166440481
    {'aut_label': '24B1', 'centralizer': None, 'counter': 410, 'group_counter': 193, 'group_order': 663552, 'label': '24B-1', 'order': 24, 'powers': [345, 296], 'representative': 512191297590248413, 'size': 13824}
• group 663552.hk does not appear in gps_qchar
• group 663552.hk does not appear in gps_char
• gps_subgroup_search •

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

  
  
  • id: 242106848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 663552, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '663552.hk.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '663552.hk', 'subgroup_hash': 2966786230808390204, 'subgroup_order': 663552, 'subgroup_tex': 'A_4^2.S_4^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242106959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 331776, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8357885729936179329, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^8.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 331776, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.dn', 'subgroup_hash': 469699604741186826, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^9.C_3\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 331776, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.do', 'subgroup_hash': 3155607580156777221, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^9.C_3\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 331776, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.du', 'subgroup_hash': 2741297553855498655, 'subgroup_order': 331776, 'subgroup_tex': 'A_4^2.C_2\\wr S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 331776, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.eb', 'subgroup_hash': 8914474599468437202, 'subgroup_order': 331776, 'subgroup_tex': 'A_4^2.(C_2^6.S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242107514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 331776, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.fe', 'subgroup_hash': 3828496473430065603, 'subgroup_order': 331776, 'subgroup_tex': 'A_4^2.S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 331776, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.fd', 'subgroup_hash': 673965494360075347, 'subgroup_order': 331776, 'subgroup_tex': 'A_4^2.S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110592, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.3.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '221184.fw', 'subgroup_hash': 8050184001649588033, 'subgroup_order': 221184, 'subgroup_tex': '(C_2^2\\times S_4^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242106849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110592, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.3.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '221184.fv', 'subgroup_hash': 2553485610316852100, 'subgroup_order': 221184, 'subgroup_tex': 'C_2^3.S_4^3:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 165888, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5392382818104641185, 'subgroup_order': 165888, 'subgroup_tex': 'A_4^2.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 165888, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5567369190565414636, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 165888, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4640358705819435574, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 165888, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.by', 'subgroup_hash': 1467111049473937881, 'subgroup_order': 165888, 'subgroup_tex': 'A_4^2\\wr C_2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 165888, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.bz', 'subgroup_hash': 3873065466740057978, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^9.C_3\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 165888, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.cb', 'subgroup_hash': 7720887024710334019, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^9.C_3\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242106926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 165888, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.cb', 'subgroup_hash': 7720887024710334019, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^9.C_3\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242106937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8927679420302681916, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9180726724115817453, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '165888.ca', 'subgroup_hash': 335778606630489816, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^9.C_3\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '165888.cv', 'subgroup_hash': 254931270329333414, 'subgroup_order': 165888, 'subgroup_tex': 'A_4^2.A_4^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242106982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972488278700169660, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972488278700169660, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.bh', 'subgroup_hash': 2507816269073034057, 'subgroup_order': 165888, 'subgroup_tex': 'A_4^2.S_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.bi', 'subgroup_hash': 5244134751073565887, 'subgroup_order': 165888, 'subgroup_tex': 'A_4^2.S_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 110592, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110592.fa', 'subgroup_hash': 1044147027802767224, 'subgroup_order': 110592, 'subgroup_tex': '(C_2^3\\times S_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 110592, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110592.ez', 'subgroup_hash': 9121499645117168143, 'subgroup_order': 110592, 'subgroup_tex': '(C_2^3\\times S_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 300864766286169069, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 18432, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2595665206959562247, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 242107071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3716470662206575416, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^8.C_3.D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3716470662206575416, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^8.C_3.D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.dw', 'subgroup_hash': 4833201398225072876, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^5.S_4^2:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.dx', 'subgroup_hash': 1284701866516407968, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^4.S_4^2:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242107115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.ek', 'subgroup_hash': 2051402403872278253, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^9.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.ei', 'subgroup_hash': 7555239843346869390, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^9.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.eg', 'subgroup_hash': 9170031629095868538, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^9.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.ed', 'subgroup_hash': 6780384979246818765, 'subgroup_order': 110592, 'subgroup_tex': 'A_4^2:C_2^3.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.ed', 'subgroup_hash': 6780384979246818765, 'subgroup_order': 110592, 'subgroup_tex': 'A_4^2:C_2^3.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.fd', 'subgroup_hash': 6115712186284746236, 'subgroup_order': 110592, 'subgroup_tex': '(C_2^3\\times A_4^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.fb', 'subgroup_hash': 8143915338398268281, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^3.A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.fc', 'subgroup_hash': 8060336553499465526, 'subgroup_order': 110592, 'subgroup_tex': 'A_4^2:C_2^3.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55296, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '110592.fe', 'subgroup_hash': 2190606843871561247, 'subgroup_order': 110592, 'subgroup_tex': '(C_2^3\\times A_4^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 82944, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6473172681980408409, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 82944, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6473172681980408409, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 82944, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2546485499291282415, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8318075847183760669, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3554005442086116252, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4598323087339442540, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6569123428866580285, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5946425042483017675, 'subgroup_order': 82944, 'subgroup_tex': 'A_4.C_2^6.C_3.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7033756190476838946, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '82944.bk', 'subgroup_hash': 6268576682330759718, 'subgroup_order': 82944, 'subgroup_tex': 'C_2\\times A_4^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '82944.bj', 'subgroup_hash': 2479346017821051446, 'subgroup_order': 82944, 'subgroup_tex': 'C_2.A_4^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7021020918360669291, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5084118846766018940, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8318075847183760669, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5139503038035984964, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '82944.bf', 'subgroup_hash': 9028992371673644126, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 242107392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '82944.bg', 'subgroup_hash': 3455798045192714473, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5139503038035984964, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3554005442086116252, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.bf', 'subgroup_hash': 9028992371673644126, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 242107437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.8.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.bg', 'subgroup_hash': 3455798045192714473, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.9.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8542941457918041118, 'subgroup_order': 73728, 'subgroup_tex': 'C_2^5.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 18432, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.9.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.b1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 9051172269585492562, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 55296, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5757094167860912025, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^4.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 55296, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5757094167860912025, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^4.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 55296, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.dd', 'subgroup_hash': 6489745419366692007, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^2\\wr S_3', 'supersolvable': False, 'sylow': 0}
  • id: 242107503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 55296, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.de', 'subgroup_hash': 1582037247200346233, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2:C_2^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 55296, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.dg', 'subgroup_hash': 6909263005249813039, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2:C_2^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 55296, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.dg', 'subgroup_hash': 6909263005249813039, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2:C_2^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5934341774511623116, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6329958600202117029, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 242107570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2504431137544294070, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8517156498721271362, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1227897695253603007, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5153946408032958111, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2563688312718086096, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3038932897009478748, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7881502163075753074, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 186225955688202496, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^2\\times C_2^6.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6277335940864289896, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7055627903659251513, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7437081689974817526, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2558402710979425718, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(C_2^4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8547831798730986339, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5451920714202916209, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3489100069225687938, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^2.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3489100069225687938, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^2.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 186225955688202496, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^2\\times A_4^2.C_2^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6694001682652869319, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6277335940864289896, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6277335940864289896, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7069855880492821036, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7069855880492821036, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6694001682652869319, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6694001682652869319, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1090624674007531703, 'subgroup_order': 55296, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 18432, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4391693827558955030, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.A_4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 242106851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5153946408032958111, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 144881343416564189, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2563688312718086096, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.cn', 'subgroup_hash': 7786022164406955731, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.(C_6\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242106855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.cm', 'subgroup_hash': 5993207922598428749, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^9.(C_3\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242106856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5153946408032958111, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 144881343416564189, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 144881343416564189, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1385056179236230709, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1707878313869751928, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1707878313869751928, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.cf', 'subgroup_hash': 3920524054689312346, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^7.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242106864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.ch', 'subgroup_hash': 2162372406034266560, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^5.A_4^2:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242106865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.ce', 'subgroup_hash': 7564907025641719663, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^7.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242106866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.ch', 'subgroup_hash': 2162372406034266560, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^5.A_4^2:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242106867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.cl', 'subgroup_hash': 7410263497310875963, 'subgroup_order': 55296, 'subgroup_tex': '(C_2^2\\times A_4^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242106868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.co', 'subgroup_hash': 8580413572938620494, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^9.(C_3\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242106869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.cg', 'subgroup_hash': 5307583487758142940, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
  • id: 242106870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.df', 'subgroup_hash': 1263896123115184022, 'subgroup_order': 55296, 'subgroup_tex': '(C_2^2\\times A_4^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242106872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.dn', 'subgroup_hash': 292757634461704885, 'subgroup_order': 55296, 'subgroup_tex': '(C_2^2\\times A_4^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242106873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.dn', 'subgroup_hash': 292757634461704885, 'subgroup_order': 55296, 'subgroup_tex': '(C_2^2\\times A_4^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242106874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.do', 'subgroup_hash': 998598521205863918, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^4:A_4^2.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242106875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.dl', 'subgroup_hash': 2162967319213421443, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^2.A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242106876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.dl', 'subgroup_hash': 2162967319213421443, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^2.A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242106877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.dp', 'subgroup_hash': 106228361806055007, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^4.A_4^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242106878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.ei', 'subgroup_hash': 6397888089155211979, 'subgroup_order': 55296, 'subgroup_tex': 'S_4^2.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242106879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.eh', 'subgroup_hash': 7268400446045772788, 'subgroup_order': 55296, 'subgroup_tex': '(C_2\\times S_4^3).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.be', 'subgroup_hash': 6172363020497471393, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
  • id: 242106895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.bc', 'subgroup_hash': 442888905976113260, 'subgroup_order': 55296, 'subgroup_tex': '(C_2^2\\times S_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242106896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.bb', 'subgroup_hash': 5325977035856504180, 'subgroup_order': 55296, 'subgroup_tex': '(C_2^2\\times A_4^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242106897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.12.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '55296.bd', 'subgroup_hash': 6545907050203505938, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^2.A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242106898
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 41472, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7369861352873843110, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^8.C_3^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 41472, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6840666874842502994, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 41472, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6840666874842502994, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2135686783811380005, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.(C_6\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4855570144562206892, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2637827971855932381, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.C_2^2.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4088140885766866568, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1345343710909627729, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3602089964708213771, 'subgroup_order': 41472, 'subgroup_tex': '(C_3\\times A_4^2).A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7161184346300355503, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4439013676662608526, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4855570144562206892, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7601890305204076893, 'subgroup_order': 41472, 'subgroup_tex': '(C_3\\times A_4).A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4088140885766866568, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 195613363389542002, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.P', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '41472.er', 'subgroup_hash': 2864693955679377799, 'subgroup_order': 41472, 'subgroup_tex': '(S_3^2\\times A_4^2).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242106916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.Q', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.eu', 'subgroup_hash': 7892482539634103660, 'subgroup_order': 41472, 'subgroup_tex': '(C_3\\times S_4^2):D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242106917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.lx', 'subgroup_hash': 6938508643576608392, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.lx', 'subgroup_hash': 6938508643576608392, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kl', 'subgroup_hash': 7465172151326195857, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kl', 'subgroup_hash': 7465172151326195857, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3126190579262189237, 'subgroup_order': 41472, 'subgroup_tex': 'A_4.C_2^6.C_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6840666874842502994, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3321461183479642478, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.cb', 'subgroup_hash': 2998914846634803455, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.16.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4771581563444804662, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^8.C_3^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, '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': 8709693076616824540, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, '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': 7473583926909555446, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7939657716796985447, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8566785793495576004, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3617648979175977459, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8495006426579288170, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5134583859490535491, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3742706135719806599, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1617188023893080789, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2535839987542270669, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6865108013671729455, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^5.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6073495308284962077, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^5.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5898985559025407181, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5534672477842888450, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 152518346948294231, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^5.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8618353207020363865, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^5.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6479460735284232768, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8084666391496273671, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^5.(C_6^2\\times D_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2152038282780356817, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^5.(C_6^2\\times D_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4131108359974457022, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2949420793775975950, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^6.C_6^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2949420793775975950, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^6.C_6^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 18432, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1331469519055553332, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 18432, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6493780335515954839, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 18432, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5829431512998047647, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1617188023893080789, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2535839987542270669, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6865108013671729455, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^5.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6073495308284962077, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^5.C_6^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36864.jt', 'subgroup_hash': 3935687059879506554, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^6.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '36864.js', 'subgroup_hash': 6752409581147387679, 'subgroup_order': 36864, 'subgroup_tex': '(C_2^4\\times C_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6921216246171630578, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3079185563459039008, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5310715501465144381, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.18.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4551165315720536156, 'subgroup_order': 36864, 'subgroup_tex': 'A_4^2.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 27648, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1834699409248506429, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 27648, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1834699409248506429, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1162443012611299410, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27648, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1162443012611299410, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7071029268617542868, 'subgroup_order': 27648, 'subgroup_tex': '(C_3\\times A_4^2).C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2064057839957557147, 'subgroup_order': 27648, 'subgroup_tex': '(C_3\\times A_4^2).C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 242106974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2251356699877888522, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6148368570500734572, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1784362710288737708, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242106983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2251356699877888522, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2251356699877888522, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2251356699877888522, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2075031860170035330, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242106988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6478879998879969689, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 577401216881085141, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4963729437189355028, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 654623021881909561, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2720597828129857719, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6898409946856345931, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2720597828129857719, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3155426109743415708, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2753173023722122280, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242106998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times C_2^6.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242106999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times C_2^6.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5758867269395356456, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^4.C_6^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times C_2^6.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times C_2^6.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2401000158861115327, 'subgroup_order': 27648, 'subgroup_tex': '(C_3\\times A_4^2).C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 242107005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3428542275710677800, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3428542275710677800, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2323833597253505190, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^2\\times A_4^2.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3597157140746615600, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5243449195076830156, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^2\\times C_2^6.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3022488602650044014, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8902608252963087133, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times A_4^2.C_2^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times A_4^2.C_2^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times C_2^6.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1784362710288737708, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6305888478581246200, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.A_4^2.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6583215808272739847, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^2\\times A_4.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6579117810321053484, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times C_2^6.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2720597828129857719, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times C_2^6.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6898409946856345931, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times A_4^2.C_2^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times A_4^2.C_2^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2720597828129857719, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6898409946856345931, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4540260883741677716, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6478879998879969689, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3662734744110400241, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2753173023722122280, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2753173023722122280, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7158889302110265095, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5770414358336950355, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9091848209044160777, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2209602931206564047, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^7.C_6^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 871905630972225833, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^2.C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6583215808272739847, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.A_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 6583215808272739847, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^2\\times C_2\\times A_4^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8582483055243252085, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^2.C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8582483055243252085, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^2.C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 871905630972225833, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 871905630972225833, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8902608252963087133, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 215727316414299289, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^4:C_3.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2323833597253505190, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 8902608252963087133, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 215727316414299289, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^4:C_3.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 215727316414299289, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^4:C_3.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 2323833597253505190, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^2\\times A_4^2.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1834699409248506429, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.C_2^2\\times C_2^4:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 242107055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 652641242413724689, 'subgroup_order': 27648, 'subgroup_tex': '(C_2^4\\times A_4).D_6\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3597157140746615600, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3597157140746615600, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4531154981216169911, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^2.C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 4531154981216169911, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^2.C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 652641242413724689, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 652641242413724689, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5243449195076830156, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^2\\times C_2^6.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.bf', 'subgroup_hash': 8595831184572671398, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.(C_3^2\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 242107065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.bf', 'subgroup_hash': 8595831184572671398, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.(C_3^2\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 242107066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.bh', 'subgroup_hash': 8832495308193341063, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.(C_3^2\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 242107067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.bl', 'subgroup_hash': 5483467285869892039, 'subgroup_order': 27648, 'subgroup_tex': '(C_2^3\\times A_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.bl', 'subgroup_hash': 5483467285869892039, 'subgroup_order': 27648, 'subgroup_tex': '(C_2^3\\times A_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.bn', 'subgroup_hash': 3268557417193498742, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^4.A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1044385981264388848, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3022488602650044014, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7370039614144320391, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 3022488602650044014, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1044385981264388848, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7370039614144320391, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 7370039614144320391, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1044385981264388848, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 1044385981264388848, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5569371331975951861, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 5569371331975951861, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.be', 'subgroup_hash': 1641420571990406546, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^9.(S_3\\times C_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242107085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.bm', 'subgroup_hash': 1422379384161074027, 'subgroup_order': 27648, 'subgroup_tex': '(C_2^3\\times A_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.bm', 'subgroup_hash': 1422379384161074027, 'subgroup_order': 27648, 'subgroup_tex': '(C_2^3\\times A_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.be', 'subgroup_hash': 1641420571990406546, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^9.(S_3\\times C_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242107088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.bo', 'subgroup_hash': 3241690106563490869, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^4:A_4^2.C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242107089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.bg', 'subgroup_hash': 4814495350895617100, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^9.(S_3\\times C_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242107090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.cs', 'subgroup_hash': 6105651017888364053, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^7.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.ch', 'subgroup_hash': 1869010172065885578, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.cv', 'subgroup_hash': 75833278432945128, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.cu', 'subgroup_hash': 6054769524148238145, 'subgroup_order': 27648, 'subgroup_tex': '(A_4\\times S_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.cg', 'subgroup_hash': 4693545185944314716, 'subgroup_order': 27648, 'subgroup_tex': 'A_4\\times S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.cp', 'subgroup_hash': 6607675541205990664, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^7.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.co', 'subgroup_hash': 5279141682498973906, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^7.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.cn', 'subgroup_hash': 2034341735574838623, 'subgroup_order': 27648, 'subgroup_tex': '\\PSOPlus(4,3).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27648.cn', 'subgroup_hash': 2034341735574838623, 'subgroup_order': 27648, 'subgroup_tex': '\\PSOPlus(4,3).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.et1', 'outer_equivalence': True, 'perfect': False, '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': '27648.da', 'subgroup_hash': 3538447209401743786, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times A_4^2:\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.eu1', 'outer_equivalence': True, 'perfect': False, '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': '27648.cw', 'subgroup_hash': 8109057461276421385, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ev1', 'outer_equivalence': True, 'perfect': False, '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': '27648.cx', 'subgroup_hash': 6096948281212796450, 'subgroup_order': 27648, 'subgroup_tex': '(C_2\\times A_4^3).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ew1', 'outer_equivalence': True, 'perfect': False, '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': '27648.db', 'subgroup_hash': 4183068475019829419, 'subgroup_order': 27648, 'subgroup_tex': '(C_2\\times A_4^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ex1', 'outer_equivalence': True, 'perfect': False, '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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ey1', 'outer_equivalence': True, 'perfect': False, '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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ez1', 'outer_equivalence': True, 'perfect': False, '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': 1654994191826747545, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fa1', 'outer_equivalence': True, 'perfect': False, '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': 9090243027270262475, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fb1', 'outer_equivalence': True, 'perfect': False, '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': 2251356699877888522, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fc1', 'outer_equivalence': True, 'perfect': False, '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': 2251356699877888522, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fd1', 'outer_equivalence': True, 'perfect': False, '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': 2045323938865738189, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fe1', 'outer_equivalence': True, 'perfect': False, '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': 7105065228602559181, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ff1', 'outer_equivalence': True, 'perfect': False, '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': 2045323938865738189, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fg1', 'outer_equivalence': True, 'perfect': False, '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': 7105065228602559181, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fh1', 'outer_equivalence': True, 'perfect': False, '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': 5872619497565240874, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fi1', 'outer_equivalence': True, 'perfect': False, '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': 5872619497565240874, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(S_3\\times D_6:S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 242107120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fj1', 'outer_equivalence': True, 'perfect': False, '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': 4173768279242664531, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fk1', 'outer_equivalence': True, 'perfect': False, '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': 4173768279242664531, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fl1', 'outer_equivalence': True, 'perfect': False, '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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fm1', 'outer_equivalence': True, 'perfect': False, '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': 1664934141301276909, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fn1', 'outer_equivalence': True, 'perfect': False, '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': '27648.ee', 'subgroup_hash': 6758526970866730569, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fo1', 'outer_equivalence': True, 'perfect': False, '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': 1664934141301276909, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fp1', 'outer_equivalence': True, 'perfect': False, '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': 2932407465421437881, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fq1', 'outer_equivalence': True, 'perfect': False, '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': 379308042029156130, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fr1', 'outer_equivalence': True, 'perfect': False, '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': 2932407465421437881, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fs1', 'outer_equivalence': True, 'perfect': False, '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': 379308042029156130, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ft1', 'outer_equivalence': True, 'perfect': False, '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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times C_2^6.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fu1', 'outer_equivalence': True, 'perfect': False, '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': 7403990255856003687, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fv1', 'outer_equivalence': True, 'perfect': False, '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': 8979354900893564239, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fw1', 'outer_equivalence': True, 'perfect': False, '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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times A_4^2.C_2^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fx1', 'outer_equivalence': True, 'perfect': False, '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': 9090243027270262475, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fy1', 'outer_equivalence': True, 'perfect': False, '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': 759079533571959960, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fz1', 'outer_equivalence': True, 'perfect': False, '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': 759079533571959960, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ga1', 'outer_equivalence': True, 'perfect': False, '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': 2045323938865738189, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gb1', 'outer_equivalence': True, 'perfect': False, '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': 7091230255015688860, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gc1', 'outer_equivalence': True, 'perfect': False, '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': 2045323938865738189, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gd1', 'outer_equivalence': True, 'perfect': False, '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': 7091230255015688860, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ge1', 'outer_equivalence': True, 'perfect': False, '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': 2045323938865738189, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gf1', 'outer_equivalence': True, 'perfect': False, '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': 2045323938865738189, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gg1', 'outer_equivalence': True, 'perfect': False, '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': 7091230255015688860, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gh1', 'outer_equivalence': True, 'perfect': False, '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': 7091230255015688860, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gi1', 'outer_equivalence': True, 'perfect': False, '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': 915949424194543050, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gj1', 'outer_equivalence': True, 'perfect': False, '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': 915949424194543050, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gk1', 'outer_equivalence': True, 'perfect': False, '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': 9144346224973802453, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(S_3\\times C_3:D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 242107151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gl1', 'outer_equivalence': True, 'perfect': False, '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': 9144346224973802453, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(S_3\\times C_3:D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 242107152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gm1', 'outer_equivalence': True, 'perfect': False, '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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^2\\times C_2^6.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gn1', 'outer_equivalence': True, 'perfect': False, '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': 9090243027270262475, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.go1', 'outer_equivalence': True, 'perfect': False, '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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^2\\times C_2^6.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gp1', 'outer_equivalence': True, 'perfect': False, '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': 9090243027270262475, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gq1', 'outer_equivalence': True, 'perfect': False, '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': 283849407649190513, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(C_3:S_3\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 242107157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gr1', 'outer_equivalence': True, 'perfect': False, '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': 5811630716384318462, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(C_6\\times S_3):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gs1', 'outer_equivalence': True, 'perfect': False, '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': 283849407649190513, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(C_3:S_3\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 242107160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gt1', 'outer_equivalence': True, 'perfect': False, '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': 5811630716384318462, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(C_6\\times S_3):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gu1', 'outer_equivalence': True, 'perfect': False, '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': 7403990255856003687, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gv1', 'outer_equivalence': True, 'perfect': False, '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': 8979354900893564239, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gw1', 'outer_equivalence': True, 'perfect': False, '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': 1654994191826747545, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6912, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gx1', 'outer_equivalence': True, 'perfect': False, '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': 6279047914120350481, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242107165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6912, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gy1', 'outer_equivalence': True, 'perfect': False, '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': 6279047914120350481, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242107166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gz1', 'outer_equivalence': True, 'perfect': False, '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': 9208491390644050062, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^2\\times C_2^6.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ha1', 'outer_equivalence': True, 'perfect': False, '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': 7892540174405041586, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hb1', 'outer_equivalence': True, 'perfect': False, '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': 9090243027270262475, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hc1', 'outer_equivalence': True, 'perfect': False, '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': 9090243027270262475, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 768, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hd1', 'outer_equivalence': True, 'perfect': False, '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': 3059010194865886223, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 768, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.he1', 'outer_equivalence': True, 'perfect': False, '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': 3059010194865886223, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6912, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hf1', 'outer_equivalence': True, 'perfect': False, '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': 7892540174405041586, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6912, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hg1', 'outer_equivalence': True, 'perfect': False, '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': 7892540174405041586, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hh1', 'outer_equivalence': True, 'perfect': False, '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': 759079533571959960, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hi1', 'outer_equivalence': True, 'perfect': False, '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': 759079533571959960, 'subgroup_order': 27648, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hj1', 'outer_equivalence': True, 'perfect': False, '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': 2251356699877888522, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hk1', 'outer_equivalence': True, 'perfect': False, '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': 1162443012611299410, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hl1', 'outer_equivalence': True, 'perfect': False, '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': 1162443012611299410, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hm1', 'outer_equivalence': True, 'perfect': False, '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': 2251356699877888522, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hn1', 'outer_equivalence': True, 'perfect': False, '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': 2045323938865738189, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ho1', 'outer_equivalence': True, 'perfect': False, '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': 6867836937231610942, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hp1', 'outer_equivalence': True, 'perfect': False, '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': 7091230255015688860, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hq1', 'outer_equivalence': True, 'perfect': False, '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': '27648.z', 'subgroup_hash': 7874978541300879265, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.(C_3\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242107187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hr1', 'outer_equivalence': True, 'perfect': False, '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': 2045323938865738189, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hs1', 'outer_equivalence': True, 'perfect': False, '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': 6867836937231610942, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ht1', 'outer_equivalence': True, 'perfect': False, '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': 6867836937231610942, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hu1', 'outer_equivalence': True, 'perfect': False, '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': 7105065228602559181, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hv1', 'outer_equivalence': True, 'perfect': False, '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': 6466630319490758970, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hw1', 'outer_equivalence': True, 'perfect': False, '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': 6466630319490758970, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hx1', 'outer_equivalence': True, 'perfect': False, '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': '27648.x', 'subgroup_hash': 5466950625373130126, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242107195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hy1', 'outer_equivalence': True, 'perfect': False, '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': '27648.v', 'subgroup_hash': 5272825707364503724, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hz1', 'outer_equivalence': True, 'perfect': False, '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': '27648.y', 'subgroup_hash': 3401248997803094178, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2:C_2^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ia1', 'outer_equivalence': True, 'perfect': False, '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': '27648.w', 'subgroup_hash': 2171486821152522888, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2:(C_2^4:C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 242107198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ib1', 'outer_equivalence': True, 'perfect': False, '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': 2045323938865738189, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ic1', 'outer_equivalence': True, 'perfect': False, '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': 6867836937231610942, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.id1', 'outer_equivalence': True, 'perfect': False, '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': 7091230255015688860, 'subgroup_order': 27648, 'subgroup_tex': '(C_2^4\\times A_4).D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ie1', 'outer_equivalence': True, 'perfect': False, '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': '27648.z', 'subgroup_hash': 7874978541300879265, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.(C_3\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242107202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.if1', 'outer_equivalence': True, 'perfect': False, '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': 2045323938865738189, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ig1', 'outer_equivalence': True, 'perfect': False, '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': 6867836937231610942, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ih1', 'outer_equivalence': True, 'perfect': False, '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': 6867836937231610942, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ii1', 'outer_equivalence': True, 'perfect': False, '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': 7105065228602559181, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ij1', 'outer_equivalence': True, 'perfect': False, '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': 6466630319490758970, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ik1', 'outer_equivalence': True, 'perfect': False, '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': 6466630319490758970, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^8.C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.il1', 'outer_equivalence': True, 'perfect': False, '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': '27648.x', 'subgroup_hash': 5466950625373130126, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242107210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.im1', 'outer_equivalence': True, 'perfect': False, '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': '27648.v', 'subgroup_hash': 5272825707364503724, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.in1', 'outer_equivalence': True, 'perfect': False, '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': '27648.w', 'subgroup_hash': 2171486821152522888, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2:(C_2^4:C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 242107212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13824, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.24.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.io1', 'outer_equivalence': True, 'perfect': False, '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': '27648.y', 'subgroup_hash': 3401248997803094178, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2:C_2^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.27.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': 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': 4632968833986678848, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^5.(C_2^3\\times C_6).C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.27.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': 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': 2718585211169670243, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^5.(C_2^3\\times C_6).C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107216
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 20736, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 808652458051812555, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^8.C_3^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1292228525871064045, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^4.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2980613735029781524, 'subgroup_order': 20736, 'subgroup_tex': 'A_4.(C_3\\times A_4^2).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8288947706018302707, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^2.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9077697772619068642, 'subgroup_order': 20736, 'subgroup_tex': '(C_3\\times A_4).A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8243205228030155007, 'subgroup_order': 20736, 'subgroup_tex': '(C_3\\times A_4^2).A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3928158482513567059, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^6.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107223
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8258033505454109096, 'subgroup_order': 20736, 'subgroup_tex': '(C_2^5\\times C_6).C_3.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2980613735029781524, 'subgroup_order': 20736, 'subgroup_tex': 'A_4.(C_3\\times A_4^2).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9077697772619068642, 'subgroup_order': 20736, 'subgroup_tex': '(C_3\\times A_4).A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8288947706018302707, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^2.C_2^2.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8243205228030155007, 'subgroup_order': 20736, 'subgroup_tex': '(C_3\\times A_4^2).A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8633201157911690801, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^6.C_3^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3928158482513567059, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^6.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3119466016538370218, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^4.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.ex', 'subgroup_hash': 1224363201338985062, 'subgroup_order': 20736, 'subgroup_tex': '(S_3^2\\times A_4^2):C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.ew', 'subgroup_hash': 4239773870094093494, 'subgroup_order': 20736, 'subgroup_tex': '(S_3^2\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.fk', 'subgroup_hash': 6969139648697794989, 'subgroup_order': 20736, 'subgroup_tex': '(C_2^4\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.fw', 'subgroup_hash': 8290006258162894570, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^2:(C_6^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.go', 'subgroup_hash': 5854549725182573804, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^2:S_3^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.gp', 'subgroup_hash': 6871030190735987810, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^2:(S_3^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2575888263372713649, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^4.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.eu', 'subgroup_hash': 1021149422754311912, 'subgroup_order': 20736, 'subgroup_tex': 'C_6\\times S_4^2:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 242107241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.ev', 'subgroup_hash': 6442563203644587666, 'subgroup_order': 20736, 'subgroup_tex': '(C_3\\times S_4^2):C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242107242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.fl', 'subgroup_hash': 8494063657585166461, 'subgroup_order': 20736, 'subgroup_tex': '(C_2^4\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.fy', 'subgroup_hash': 8368714980460195033, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^2:C_6.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242107244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.gr', 'subgroup_hash': 8703202875698854670, 'subgroup_order': 20736, 'subgroup_tex': '(C_6\\times A_4^2):D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242107245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.gq', 'subgroup_hash': 714866692473346245, 'subgroup_order': 20736, 'subgroup_tex': '(C_6\\times A_4^2).D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 242107246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.pc', 'subgroup_hash': 3070565702748558474, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.os', 'subgroup_hash': 7748487627413396449, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.pb', 'subgroup_hash': 2865182788575338296, 'subgroup_order': 20736, 'subgroup_tex': 'C_3\\times A_4\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.pb', 'subgroup_hash': 2865182788575338296, 'subgroup_order': 20736, 'subgroup_tex': 'C_3\\times A_4\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.ol', 'subgroup_hash': 2463750114329544822, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.oz', 'subgroup_hash': 5770606598861225627, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.ol', 'subgroup_hash': 2463750114329544822, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.oz', 'subgroup_hash': 5770606598861225627, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.oe', 'subgroup_hash': 5328561690528112268, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.of', 'subgroup_hash': 6638741172297286998, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.or', 'subgroup_hash': 679469585062892935, 'subgroup_order': 20736, 'subgroup_tex': '(C_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.os', 'subgroup_hash': 7748487627413396449, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.og', 'subgroup_hash': 8723577647907986505, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.og', 'subgroup_hash': 8723577647907986505, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.ol', 'subgroup_hash': 2463750114329544822, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.oj', 'subgroup_hash': 490698924473225277, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.ol', 'subgroup_hash': 2463750114329544822, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.32.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.oj', 'subgroup_hash': 490698924473225277, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 18432, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1755436856987156570, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^3\\times A_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.em', 'subgroup_hash': 169807620204366444, 'subgroup_order': 18432, 'subgroup_tex': '(C_2^2\\times S_4^2).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7213611893437965453, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 616302019767789265, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6510213617942681497, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6412110584225495323, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 3997692508565840623, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 355019915380059096, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1878134221633897674, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 3109308215012710696, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 9199706267543374403, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6359909516282852150, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7011202437550500979, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7011202437550500979, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7011202437550500979, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 945699893487102759, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6779590753087875060, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 9199706267543374403, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7011202437550500979, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7011202437550500979, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7011202437550500979, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 3977730431384559577, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 285331377800657582, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 8384836717345764957, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 5379255437318227990, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 8653697855103301403, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 719103863207147289, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4186873133077882425, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4186873133077882425, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6342790697222702284, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 8402823096312262851, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 2716742112764412980, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 9084870220001009358, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 9084870220001009358, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 269335512537873493, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 2558949457357151488, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 2558949457357151488, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 9214937785339299329, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4769753756468319102, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7173222641053084113, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4999497252972300100, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 2157796426113554618, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7660971285234183480, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 355019915380059096, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 2225328203661924927, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 8928734381282262841, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1396657111543474692, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6867339319210099077, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6189343641211326928, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 355019915380059096, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 2225328203661924927, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 355019915380059096, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1878134221633897674, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 3109308215012710696, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 3348138070698373588, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 3109308215012710696, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6359909516282852150, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7173222641053084113, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4999497252972300100, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 945699893487102759, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6779590753087875060, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1493939803045173777, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 5397427821325669424, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4111741636172619775, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4769753756468319102, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 507403950781895594, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 2513780253581011410, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6002295572839508462, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.(C_2^2\\times C_4^2).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1161916196146293040, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4924378543224901468, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6610990394179981421, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4458502062187425595, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7288560049075295336, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4234343938561205572, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_2\\times C_6^2).C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 35642968625833097, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4:C_3.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 68188863302294470, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4:C_3.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 68188863302294470, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4:C_3.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4039754157063507404, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7786098188625836363, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4974618810922703308, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_6\\times C_{12}).C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 8774872605629636844, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_6^2\\times D_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1508041829037394686, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_6^2\\times D_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1508041829037394686, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_6^2\\times D_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 2426184129732192848, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 5578342101654663467, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 5578342101654663467, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7330121883048759070, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1830787417682617646, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4613756096964920902, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 8336211312449694015, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 8336211312449694015, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1830787417682617646, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4613756096964920902, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 8336211312449694015, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 8336211312449694015, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4696152368337362972, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 6610037703753107573, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7421511195758534145, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7421511195758534145, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4111741636172619775, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4769753756468319102, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1256241580402950802, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1031378231772452, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4458502062187425595, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7288560049075295336, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 811967805259303454, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 5824010115579400534, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 5824010115579400534, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 2978473271188989870, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4093547060975385699, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 4093547060975385699, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7473135245251440567, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1251324881490076614, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 8911626876385109775, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7483525414605935589, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7483525414605935589, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 3870568764645321708, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7322056216031432612, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 7322056216031432612, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 2865993373192943134, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^2\\times A_4^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 5038010895796851394, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^2\\times C_2^6.C_3^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 5038010895796851394, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^2\\times C_2^6.C_3^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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': 1395243204946402408, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.et1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6824847909842829727, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.eu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6824847909842829727, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ev1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4924378543224901468, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ew1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6610990394179981421, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ex1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3918437166712164313, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ey1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4311715333164838144, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ez1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4311715333164838144, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7476765664666757289, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5027113249575307168, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 96, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5027113249575307168, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7334999023446985805, 'subgroup_order': 18432, 'subgroup_tex': 'A_4.(C_2^4\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3152766261086356394, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_6\\times A_4).C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ff1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3152766261086356394, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_6\\times A_4).C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7473135245251440567, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1251324881490076614, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1585658636082301203, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1251324881490076614, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1585658636082301203, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1585658636082301203, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4362957180684970902, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4362957180684970902, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3404013226939038405, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5439821675272740135, 'subgroup_order': 18432, 'subgroup_tex': 'A_4.(C_2^4\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2865993373192943134, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5038010895796851394, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^2\\times C_2\\times C_2^2:S_4\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5038010895796851394, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^2\\times C_2\\times C_2^2:S_4\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ft1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1395243204946402408, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6824847909842829727, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6824847909842829727, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6824847909842829727, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.(C_6\\times S_3).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3586271973039388727, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^8.C_3.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3586271973039388727, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^8.C_3.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1395243204946402408, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ga1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3330116470450631709, 'subgroup_order': 18432, 'subgroup_tex': '(C_2\\times A_4^2).C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 242107441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 859585580989849013, 'subgroup_order': 18432, 'subgroup_tex': 'A_4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 859585580989849013, 'subgroup_order': 18432, 'subgroup_tex': 'A_4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4458502062187425595, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ge1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7288560049075295336, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4234343938561205572, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_6^2\\times D_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 35642968625833097, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_6^2\\times D_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 68188863302294470, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_6^2\\times D_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 68188863302294470, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(C_6^2\\times D_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 811967805259303454, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5824010115579400534, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5824010115579400534, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5824010115579400534, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.li', 'subgroup_hash': 8561642119869583239, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.go1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.li', 'subgroup_hash': 8561642119869583239, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2978473271188989870, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4093547060975385699, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4093547060975385699, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.fw', 'subgroup_hash': 8692972414181322845, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.(A_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.hk', 'subgroup_hash': 6477264199527758277, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.hm', 'subgroup_hash': 4930230478103955749, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.fu', 'subgroup_hash': 7117120530677834012, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.(C_{12}\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4458502062187425595, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3311533164325241998, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7814356452415845363, 'subgroup_order': 18432, 'subgroup_tex': 'C_2\\times A_4^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8755600463380296102, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ha1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5142449611461883391, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5142449611461883391, 'subgroup_order': 18432, 'subgroup_tex': 'C_2\\times A_4^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5382431098773089948, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4:C_3.C_2^4.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.fx', 'subgroup_hash': 5706767042136696133, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.(A_4\\times \\GL(2,\\mathbb{Z}/4))', 'supersolvable': False, 'sylow': 0}
  • id: 242107473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.he1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.hl', 'subgroup_hash': 898859875212351477, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.fv', 'subgroup_hash': 7030714693191945045, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^7.(C_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242107475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.hj', 'subgroup_hash': 969351089832526275, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1493939803045173777, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.ho', 'subgroup_hash': 8966509164266496311, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.\\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 242107478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5397427821325669424, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5397427821325669424, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.gu', 'subgroup_hash': 7988833444467535864, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.gv', 'subgroup_hash': 4586253874381864320, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^9.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.gu', 'subgroup_hash': 7988833444467535864, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ho1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.gx', 'subgroup_hash': 6624796562670911925, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^9.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.gv', 'subgroup_hash': 4586253874381864320, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^9.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.gx', 'subgroup_hash': 6624796562670911925, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^9.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.bd', 'subgroup_hash': 452002741243792975, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^9.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1536, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.hp', 'subgroup_hash': 8270207196392064491, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.C_{12}:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ht1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8353496397295831881, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8353496397295831881, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5100207843276051882, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1152, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6939312660342323251, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8353496397295831881, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8353496397295831881, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5100207843276051882, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ia1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6939312660342323251, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ib1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4599684274872173120, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ic1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4599684274872173120, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.id1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4599684274872173120, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ie1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4599684274872173120, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.if1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1045396895365094193, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ig1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1045396895365094193, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ih1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.cc', 'subgroup_hash': 274355845758097968, 'subgroup_order': 18432, 'subgroup_tex': '(C_2^3\\times S_4^2).C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ii1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1045396895365094193, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ij1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1045396895365094193, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ik1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.em', 'subgroup_hash': 169807620204366444, 'subgroup_order': 18432, 'subgroup_tex': '(C_2^2\\times S_4^2).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.il1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.bt', 'subgroup_hash': 671018424582111730, 'subgroup_order': 18432, 'subgroup_tex': '(C_2^2\\times S_4^2).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 576, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.im1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.ce', 'subgroup_hash': 9034336731406195896, 'subgroup_order': 18432, 'subgroup_tex': '(C_2^2\\times S_4^2).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 288, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.in1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.cd', 'subgroup_hash': 4799325790982830551, 'subgroup_order': 18432, 'subgroup_tex': '(C_2^2\\times S_4^2).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.io1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7443174952452891202, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ip1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7443174952452891202, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.iq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.by', 'subgroup_hash': 5793082534596087328, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ir1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.br', 'subgroup_hash': 1650314047668674348, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.is1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.br', 'subgroup_hash': 1650314047668674348, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.it1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.cm', 'subgroup_hash': 8940417187192254146, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2:C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.iu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7443174952452891202, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.iv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7443174952452891202, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.iw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4599684274872173120, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 48, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ix1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8689463619573733047, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 48, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.iy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8689463619573733047, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.iz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4599684274872173120, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 48, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ja1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8689463619573733047, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 48, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8689463619573733047, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7443174952452891202, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7443174952452891202, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.je1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.by', 'subgroup_hash': 5793082534596087328, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4599684274872173120, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 768, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8689463619573733047, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 768, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8689463619573733047, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ji1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4599684274872173120, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 768, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8689463619573733047, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 768, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8689463619573733047, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1045396895365094193, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1045396895365094193, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9216, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.em', 'subgroup_hash': 169807620204366444, 'subgroup_order': 18432, 'subgroup_tex': '(C_2^2\\times S_4^2).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2304, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.br', 'subgroup_hash': 1650314047668674348, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4608, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.36.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.jp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.bt', 'subgroup_hash': 671018424582111730, 'subgroup_order': 18432, 'subgroup_tex': '(C_2^2\\times S_4^2).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107544
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 13824, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.48.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6030856665525712878, 'subgroup_order': 13824, 'subgroup_tex': 'C_2^8.C_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107545
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 13824, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.48.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6030856665525712878, 'subgroup_order': 13824, 'subgroup_tex': 'C_2^8.C_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242107546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 13824, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.48.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5651422393665686775, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^2.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 13824, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.48.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5651422393665686775, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^2.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 13824, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.48.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.36', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5651422393665686775, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^2.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 13824, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.48.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5651422393665686775, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^2.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 242107551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 9216, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.72.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.46', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4577399915123144414, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^3\\times A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 9216, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.72.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\SOPlus(4,2)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4577399915123144414, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4\\times A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 9216, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.72.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 500095240872699332, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^2\\times A_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242107554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '663552.hk.81.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': 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': 3114580914669253881, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 2}
  • id: 242107555
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 6912, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.96.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.89', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 89, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 946085126738645648, 'subgroup_order': 6912, 'subgroup_tex': 'C_2^8.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107556
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 6912, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.96.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '96.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.144', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 144, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:D_4', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 946085126738645648, 'subgroup_order': 6912, 'subgroup_tex': 'C_2^8.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107557
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 4608, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.144.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.186', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 186, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6958695029382585909, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4\\times C_2\\times A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107558
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 4608, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.144.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.154', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 154, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6958695029382585909, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3\\times A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 4608, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.144.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.154', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 154, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4852657592192129495, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^2\\times A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 4608, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.144.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.151', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 151, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4852657592192129495, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^2\\times A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242107562
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 2304, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.288.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '288.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.889', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 889, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'D_6\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9012415980565560880, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^4\\times A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107563
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 2304, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.288.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '288.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.629', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 629, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6^2:D_4', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C7'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9012415980565560880, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^2\\times A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107564
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 1536, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.432.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '432.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '432.741', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 741, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3^3:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408544625', 'subgroup_hash': 6258132629412307168, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^9.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 242107565
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 1536, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.432.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '432.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '432.741', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 741, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3^3:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408544625', 'subgroup_hash': 6258132629412307168, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^9.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 242107566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 1152, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.576.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '576.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '576.8654', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8654, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\POPlus(4,3)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1152.157851', 'subgroup_hash': 5440091439875999871, 'subgroup_order': 1152, 'subgroup_tex': 'C_2\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107567
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 768, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.864.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '864.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '864.4080', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4080, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 864, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3^2:D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1085323', 'subgroup_hash': 1085323, 'subgroup_order': 768, 'subgroup_tex': 'C_2^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 242107568
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 768, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.864.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '864.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '864.4079', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4079, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 864, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'D_6:\\SOPlus(4,2)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1085323', 'subgroup_hash': 1085323, 'subgroup_order': 768, 'subgroup_tex': 'C_2^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 242107569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 1152, 'characteristic': True, 'core_order': 576, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.1152.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1152.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1152.157849', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5496387407741636925, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.8657', 'subgroup_hash': 8657, 'subgroup_order': 576, 'subgroup_tex': 'A_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 576, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.1152.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1152.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1152.157852', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4208954026111918128, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.8657', 'subgroup_hash': 8657, 'subgroup_order': 576, 'subgroup_tex': 'A_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 576, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.1152.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1152.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1152.157482', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5805649983839564579, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.8653', 'subgroup_hash': 8653, 'subgroup_order': 576, 'subgroup_tex': 'S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107573
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 512, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.1296.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1296.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1296.3528', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3528, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1296, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3^2:S_3^2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': 1718285292446712970, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
  • id: 242107574
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 1152, 'characteristic': True, 'core_order': 288, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2304.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2304.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2304.ea', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5029089711575135698, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2304, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.1029', 'subgroup_hash': 1029, 'subgroup_order': 288, 'subgroup_tex': 'C_2\\times A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107575
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 288, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2304.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2304.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2304.eo', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3879030643117341003, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2304, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\wr S_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.1029', 'subgroup_hash': 1029, 'subgroup_order': 288, 'subgroup_tex': 'C_2\\times A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 288, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2304.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2304.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2304.eo', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3879030643117341003, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2304, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\wr S_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.1026', 'subgroup_hash': 1026, 'subgroup_order': 288, 'subgroup_tex': '\\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 242107577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 288, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2304.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2304.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2304.hq', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2123401404544093410, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2304, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^6.S_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.1026', 'subgroup_hash': 1026, 'subgroup_order': 288, 'subgroup_tex': '\\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 242107578
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 256, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.2592.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2592.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7340814056853332198, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2592, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 242107579
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 1152, 'characteristic': True, 'core_order': 144, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4608.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4608.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4608.bs', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3000911920882418164, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 4608, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.184', 'subgroup_hash': 184, 'subgroup_order': 144, 'subgroup_tex': 'A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107580
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 144, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.4608.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4608.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4608.fm', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5656411641660729082, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 4608, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^7.S_3^2', 'simple': False, 'solvable': True, 'special_labels': ['C8'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.184', 'subgroup_hash': 184, 'subgroup_order': 144, 'subgroup_tex': 'A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242107582
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 1152, 'characteristic': True, 'core_order': 96, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6912.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6912.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6912.br', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5630581622182694282, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6912, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4^2:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107583
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 1152, 'characteristic': True, 'core_order': 96, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.6912.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6912.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6912.br', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5630581622182694282, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6912, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4^2:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107584
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '663552.hk.8192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.15', 'subgroup_hash': 15, 'subgroup_order': 81, 'subgroup_tex': 'C_3^4', 'supersolvable': True, 'sylow': 3}
  • id: 242107585
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 1152, 'characteristic': True, 'core_order': 48, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.13824.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '13824.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '13824.ed', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3744422195896571305, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 13824, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4^2:D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.50', 'subgroup_hash': 50, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107586
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 1152, 'characteristic': True, 'core_order': 48, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.13824.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '13824.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '13824.ee', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5750525029103243209, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 13824, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_3\\times S_4^2):D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.50', 'subgroup_hash': 50, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 242107587
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 18432, 'characteristic': True, 'core_order': 32, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.20736.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20736.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20736.dk', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3545786550713265439, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 20736, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4^2:S_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 242107588
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 9216, 'characteristic': True, 'core_order': 32, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.20736.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20736.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2930409722293714559, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 20736, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^2.A_4^2.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 242107589
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 18432, 'characteristic': True, 'core_order': 16, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.41472.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '41472.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '41472.eu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7892482539634103660, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 41472, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_3\\times S_4^2):D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 242107590
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 9216, 'characteristic': True, 'core_order': 16, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '663552.hk.41472.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '41472.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '41472.er', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2864693955679377799, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 41472, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(S_3^2\\times A_4^2).D_4', 'simple': False, 'solvable': True, 'special_labels': ['D3', 'C9'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 242107591
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': True, 'central_factor': False, 'centralizer_order': 663552, 'characteristic': True, 'core_order': 2, 'counter': 769, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '663552.hk.331776.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '331776.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '331776.ce', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2778281038860681969, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 331776, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4^2.\\POPlus(4,3)', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U0'], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 242107593
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '663552.hk', 'ambient_counter': 193, 'ambient_order': 663552, 'ambient_tex': 'A_4^2.S_4^2:D_4', 'central': True, 'central_factor': False, 'centralizer_order': 663552, 'characteristic': True, 'core_order': 1, 'counter': 770, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '663552.hk.663552.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '663552.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '663552.hk', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2966786230808390204, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 663552, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4^2.S_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D4', 'C10'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 242106848
    {'ambient': '663552.hk', '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': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [23, 1317, 7, 70], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242106849
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '3.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.A', 'coset_action_label': None, 'count': 3, 'diagramx': [26, -1, 126, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.3.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '3.b1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106850
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 2, 'diagramx': [2373, -1, 1668, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '12.bi1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BI', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242106851
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1898, -1, 1509, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.bj1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106852
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [727, -1, 1117, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.12.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.bk1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BK', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242106853
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1602, -1, 1410, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.12.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.bl1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106854
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1767, -1, 1465, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.12.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.bm1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BM', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242106855
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3115, -1, 1917, -1], 'generators': [2789705318416, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 134453770979748221, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.12.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.bn1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BN', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242106856
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1943, -1, 1524, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.bo1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BO', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242106857
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 3, 'diagramx': [650, -1, 1091, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '12.bp1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BP', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242106858
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': [689, -1, 1104, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '12.bq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BQ', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242106859
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [340, -1, 987, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.12.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.br1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BR', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242106860
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.A', 'coset_action_label': None, 'count': 1, 'diagramx': [20, 1217, 156, 1287], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242106861
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 3, 'diagramx': [261, -1, 960, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.12.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '12.bs1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106862
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': [299, -1, 973, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.12.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '12.bt1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106863
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 3, 'diagramx': [492, -1, 1038, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '12.bu1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BU', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242106864
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 3, 'diagramx': [2412, -1, 1681, -1], 'generators': [2789705318416, 735000546803619, 135541843232035818, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '12.bv1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106865
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': [2999, -1, 1878, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 134453770979748221, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '12.bw1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BW', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242106866
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': [2456, -1, 1696, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 134453951563351421, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '12.bx1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106867
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2292, -1, 1641, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 135583776005026976, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '12.by1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BY', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242106868
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1515, -1, 1381, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '12.bz1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BZ', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242106869
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2029, -1, 1553, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 6405076232755200, 231596, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.12.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.ca1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CA', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242106870
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 2, 'diagramx': [576, -1, 1066, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 231596, 858339241119360000, 83467440, 167174, 1506440871936000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.12.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '12.cb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CB', 'subgroup_fusion': None, 'weyl_group': '165888.bk'}
  • id: 242106871
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.B', 'coset_action_label': None, 'count': 1, 'diagramx': [291, 6050, 247, 1838], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '331776.ce', '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': '331776.ce'}
  • id: 242106872
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3071, -1, 1902, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.12.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.cc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CC', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242106873
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3038, -1, 1891, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 1445154533544716, 135583776005026976, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '12.cd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CD', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242106874
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1259, -1, 1295, -1], 'generators': [735000564700755, 135583775990103018, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 735000377528461], 'label': '663552.hk.12.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CE', 'old_label': '12.ce1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CE', 'subgroup_fusion': None, 'weyl_group': '8000.eh'}
  • id: 242106875
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [453, -1, 1025, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 1506440871936000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.12.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '12.cf1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CF', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242106876
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': [419, -1, 1014, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '12.cg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CG', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242106877
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 12, 'diagramx': [2066, -1, 1566, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 1506440871936000, 20671803587635200, 1443759884984461, 391593555], 'label': '663552.hk.12.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CH', 'old_label': '12.ch1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CH', 'subgroup_fusion': None, 'weyl_group': '27648.s'}
  • id: 242106878
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [382, -1, 1001, -1], 'generators': [735000173107200, 98028734, 371693542943923200, 735000271257605, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 2789705323454, 1445154617007118, 135583776012324776, 20671803587635200, 5054, 735000626264979], 'label': '663552.hk.12.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CI', 'old_label': '12.ci1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106879
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1645, -1, 1424, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 735000644166435, 1506440871936000, 1445154617007118, 1443759680735416, 20671803587635200, 135541930406698207, 735000271262640], 'label': '663552.hk.12.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CJ', 'old_label': '12.cj1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106880
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 24, 'diagramx': [2793, -1, 1809, -1], 'generators': [735000173107200, 16, 5045, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.12.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.ck1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CK', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242106881
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 24, 'diagramx': [2748, -1, 1794, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.12.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.cl1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CL', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242106882
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.C', 'coset_action_label': None, 'count': 1, 'diagramx': [209, 4890, 219, 1706], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.4.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '331776.ce', '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': '331776.ce'}
  • id: 242106883
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1090, -1, 1238, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.cm1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106884
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1134, -1, 1253, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.cn1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106885
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1045, -1, 1224, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.co1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106886
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1001, -1, 1209, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.12.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.cp1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106887
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '144.C', 'coset_action_label': None, 'count': 24, 'diagramx': [2659, -1, 1764, -1], 'generators': [2789705318416, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 180583603216, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.cq1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CQ', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242106888
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 12, 'diagramx': [814, -1, 1146, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '12.cr1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106889
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 12, 'diagramx': [842, -1, 1155, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.cs1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106890
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '72.C', 'coset_action_label': None, 'count': 24, 'diagramx': [2704, -1, 1779, -1], 'generators': [735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.12.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.ct1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CT', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242106891
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 12, 'diagramx': [759, -1, 1128, -1], 'generators': [735000546803619, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.12.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '12.cu1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106892
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 12, 'diagramx': [787, -1, 1137, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.12.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.cv1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106893
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.D', 'coset_action_label': None, 'count': 1, 'diagramx': [171, 3730, 206, 1573], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '331776.ce', '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': '331776.ce'}
  • id: 242106894
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 12, 'diagramx': [2836, -1, 1823, -1], 'generators': [735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.12.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '12.cw1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CW', 'subgroup_fusion': None, 'weyl_group': '55296.be'}
  • id: 242106895
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 4, 'diagramx': [959, -1, 1194, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.12.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '12.cx1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CX', 'subgroup_fusion': None, 'weyl_group': '165888.bh'}
  • id: 242106896
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 12, 'diagramx': [1385, -1, 1337, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 5045, 135583776005026976, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.12.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.N', 'old_label': '12.cy1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CY', 'subgroup_fusion': None, 'weyl_group': '55296.bb'}
  • id: 242106897
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 12, 'diagramx': [1729, -1, 1453, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.12.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.O', 'old_label': '12.cz1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CZ', 'subgroup_fusion': None, 'weyl_group': '55296.bd'}
  • id: 242106898
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 1, 'diagramx': [608, 1122, 2159, 4080], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.A', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242106899
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 1, 'diagramx': [675, 3172, 2182, 4314], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.B', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242106900
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 1, 'diagramx': [642, 2151, 2171, 4197], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.16.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.C', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242106901
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 16, 'diagramx': [63, -1, 1977, -1], 'generators': [735000271262656, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 1443759778772019, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443760072353980, 1443759884984461], 'label': '663552.hk.16.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '16.d1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.D', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242106902
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 16, 'diagramx': [796, -1, 2222, -1], 'generators': [735000271262656, 735000173107200, 1443759845058301, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.16.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '16.e1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.E', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242106903
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 8, 'diagramx': [372, -1, 2080, -1], 'generators': [735000564700755, 735000271262656, 735000173107200, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.16.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '16.f1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.F', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 242106904
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.E', 'coset_action_label': None, 'count': 1, 'diagramx': [61, 2470, 170, 1430], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 134453770979748221, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '331776.ce', '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': '331776.ce'}
  • id: 242106905
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 8, 'diagramx': [572, -1, 2147, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 1443759845058301, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.16.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '16.g1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.G', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242106906
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 8, 'diagramx': [146, -1, 2005, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 1443759845058301, 371693542943923200, 6405076232755200, 858339241119360000, 735000191786880, 1506440871936000, 20671803587635200, 2702625326739, 1443759680730374, 1443760072353980], 'label': '663552.hk.16.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '16.h1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.H', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242106907
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [751, -1, 2208, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 6405076232755200, 180583603200, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '16.i1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.I', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242106908
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [495, -1, 2122, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '16.j1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.J', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242106909
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [413, -1, 2094, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '16.k1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.K', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242106910
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [835, -1, 2235, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '16.l1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.L', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242106911
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [879, -1, 2250, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '16.m1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.M', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242106912
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [534, -1, 2135, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 6405076232755200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '16.n1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.N', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242106913
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [108, -1, 1992, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 6405076232755200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.16.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '16.o1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.O', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242106914
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 16, 'diagramx': [454, -1, 2108, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 180583603200, 83467440, 1506440871936000, 123426327390807018, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '16.p1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106915
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.F', 'coset_action_label': None, 'count': 1, 'diagramx': [438, 7310, 296, 1982], 'generators': [2789705318416, 735000564700755, 135541843232035818, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '331776.ce', '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': '331776.ce'}
  • id: 242106916
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 16, 'diagramx': [19, -1, 1962, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 371693542943923200, 1443759884975103, 6405076232755200, 180583603200, 858339241119360000, 135541930410245647, 1506440871936000, 478684772, 1445154617007118, 20671803587635200], 'label': '663552.hk.16.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Q', 'old_label': '16.q1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Q', 'subgroup_fusion': None, 'weyl_group': '20736.dk'}
  • id: 242106917
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 32, 'diagramx': [1001, -1, 2291, -1], 'generators': [735000173107200, 732478327838656, 1443759845058301, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.16.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '16.r1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.R', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242106918
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 32, 'diagramx': [963, -1, 2279, -1], 'generators': [735000173107200, 1443759845058301, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443760072353980, 2789705318400], 'label': '663552.hk.16.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '16.s1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.S', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242106919
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 32, 'diagramx': [330, -1, 2066, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '16.t1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.T', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242106920
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 32, 'diagramx': [292, -1, 2054, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.16.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '16.u1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.U', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242106921
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 4, 'diagramx': [186, -1, 2018, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 180583603216, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.v1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106922
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [709, -1, 2193, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.w1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106923
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 4, 'diagramx': [924, -1, 2265, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.16.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.x1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106924
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 4, 'diagramx': [223, -1, 2030, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '16.y1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106925
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '16.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [256, -1, 2042, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.16.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.z1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106926
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.G', 'coset_action_label': None, 'count': 1, 'diagramx': [483, 8665, 311, 2136], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 134453951563351421, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': '331776.ce', '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': '331776.ce'}
  • id: 242106927
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1141, -1, 2680, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 135562765927477062, 1506440871936000, 1445154617007118, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106928
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [937, -1, 2612, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 135562765931105868, 1506440871936000, 1445154617007118, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.b1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106929
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [975, -1, 2624, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 135562765927477062, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.c1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106930
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1103, -1, 2668, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 135562765931105868, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.d1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106931
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [899, -1, 2599, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 1445154617007118, 20671803587635200, 180667070640, 1443759680730374, 735000271262640], 'label': '663552.hk.18.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.e1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106932
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [158, -1, 2351, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765931105868, 1506440871936000, 1445154617007118, 20671803587635200, 180667070640, 1443759680730374, 735000271262640], 'label': '663552.hk.18.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.f1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106933
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [235, -1, 2376, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 20671803587635200, 180667070640, 1443759680730374, 735000271262640], 'label': '663552.hk.18.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.g1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106934
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [695, -1, 2531, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 135562765931105868, 1506440871936000, 20671803587635200, 180667070640, 1443759680730374, 735000271262640], 'label': '663552.hk.18.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.h1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106935
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1371, -1, 2757, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 180583603200, 83467440, 167174, 122755322310461418, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.i1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106936
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [571, -1, 2489, -1], 'generators': [160815265742371818, 98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 180583603200, 83467440, 167174, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.j1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106937
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 2, 'diagramx': [250, -1, 233, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.h1', 'projective_image': '331776.ce', '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: 242106938
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [780, -1, 2559, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 371693542943923200, 180583603200, 83467440, 167174, 122755322310461418, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.k1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106939
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [481, -1, 2459, -1], 'generators': [160815265742371818, 98155440, 1445154533222416, 16, 5045, 371693542943923200, 180583603200, 83467440, 167174, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.l1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106940
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [393, -1, 2429, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 83467440, 167174, 122755322310461418, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.m1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106941
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1062, -1, 2654, -1], 'generators': [160815265742371818, 98155440, 1445154533222416, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 83467440, 167174, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.n1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106942
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [653, -1, 2517, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 858339153941068800, 371693542943923200, 83467440, 167174, 122755322310461418, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.o1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106943
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [60, -1, 2318, -1], 'generators': [160815265742371818, 98155440, 1445154533222416, 16, 5045, 858339153941068800, 371693542943923200, 83467440, 167174, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.p1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106944
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 9, 'diagramx': [1256, -1, 2719, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.q1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.Q', 'subgroup_fusion': None, 'weyl_group': '9216.em'}
  • id: 242106945
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1418, -1, 2773, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 732478229683216, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.r1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106946
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [111, -1, 2335, -1], 'generators': [2789705318416, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 134453770979748221, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.s1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106947
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [1294, -1, 2731, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261], 'label': '663552.hk.18.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '18.t1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.T', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242106948
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 2, 'diagramx': [363, -1, 271, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.i1', 'projective_image': '331776.ce', '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: 242106949
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [311, -1, 2402, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '18.u1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.U', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242106950
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [273, -1, 2389, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '18.v1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.V', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242106951
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 9, 'diagramx': [19, -1, 2304, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.w1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.W', 'subgroup_fusion': None, 'weyl_group': '5000.co'}
  • id: 242106952
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 3, 'diagramx': [197, -1, 2363, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '18.x1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106953
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 3, 'diagramx': [1180, -1, 2693, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 134474874258388329, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '18.y1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106954
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 9, 'diagramx': [1332, -1, 2744, -1], 'generators': [160815265742371818, 98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.z1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106955
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 9, 'diagramx': [527, -1, 2474, -1], 'generators': [98155440, 135541843232035818, 16, 5045, 1509230577254416, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 1509230577576716, 204421261, 391593555], 'label': '663552.hk.18.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.ba1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106956
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [736, -1, 2544, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 1509230577254416, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 1445067355253516, 391593555], 'label': '663552.hk.18.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.bb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106957
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [437, -1, 2444, -1], 'generators': [98155440, 135541843232035818, 16, 5045, 1509230577254416, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 134453770979748221, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.18.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.bc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106958
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [350, -1, 2415, -1], 'generators': [98155440, 1445154533222416, 373696419, 16, 5045, 135541930425250976, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200], 'label': '663552.hk.18.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BD', 'old_label': '18.bd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.BD', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242106959
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.A', 'coset_action_label': None, 'count': 1, 'diagramx': [105, 3806, 49, 508], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.2.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.A', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242106960
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 2, 'diagramx': [528, -1, 326, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.j1', 'projective_image': '331776.ce', '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': '165888.bk'}
  • id: 242106961
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [1017, -1, 2639, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 391593555], 'label': '663552.hk.18.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BE', 'old_label': '18.be1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.BE', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242106962
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1218, -1, 2706, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.bf1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106963
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [822, -1, 2573, -1], 'generators': [2789705318416, 135541843232035818, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640, 732478441373416], 'label': '663552.hk.18.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.bg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106964
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [612, -1, 2503, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.18.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.bh1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106965
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '18.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [861, -1, 2586, -1], 'generators': [2789705318416, 135541843232035818, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 134474874258388329, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.18.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.bi1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106966
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 1, 'diagramx': [8037, 3649, 5476, 4719], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.A', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242106967
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 1, 'diagramx': [8077, 4865, 5489, 4858], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.B', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242106968
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 2, 'diagramx': [3521, 1217, 3962, 4442], 'generators': [735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.24.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.C', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242106969
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 2, 'diagramx': [3560, 2432, 3975, 4580], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.24.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.D', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242106970
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 24, 'diagramx': [1838, -1, 3398, -1], 'generators': [735000271262656, 735000173107200, 5045, 1443846859021574, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 2789803347125, 1506440871936000, 20671803587635200, 1443759884984461], 'label': '663552.hk.24.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.I', 'old_label': '24.e1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.E', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 242106971
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 2, 'diagramx': [399, -1, 283, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.k1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.K', 'subgroup_fusion': None, 'weyl_group': '165888.bk'}
  • id: 242106972
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.B', 'coset_action_label': None, 'count': 48, 'diagramx': [8301, -1, 5564, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 1443759845058301, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 735000191786880, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.24.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.F', 'old_label': '24.f1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.F', 'subgroup_fusion': None, 'weyl_group': '6912.gq'}
  • id: 242106973
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9386, -1, 5928, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 1443759845058301, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.24.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.G', 'old_label': '24.g1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.G', 'subgroup_fusion': None, 'weyl_group': '6912.go'}
  • id: 242106974
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1675, -1, 3344, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759884984461], 'label': '663552.hk.24.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.I', 'old_label': '24.h1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.H', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 242106975
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1914, -1, 3424, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 371693542943923200, 6405076232755200, 1443760068765116, 180583603200, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.24.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.I', 'old_label': '24.i1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.I', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 242106976
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1876, -1, 3411, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.24.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.J', 'old_label': '24.j1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.J', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 242106977
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 12, 'diagramx': [1713, -1, 3356, -1], 'generators': [735000271262656, 735000173107200, 5045, 1443846859021574, 732478327838656, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759884984461], 'label': '663552.hk.24.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.I', 'old_label': '24.k1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.K', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 242106978
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [4337, -1, 4236, -1], 'generators': [735000271262656, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 1443759778772019, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.l1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.L', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242106979
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [5315, -1, 4563, -1], 'generators': [735000271262656, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.m1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.M', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242106980
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [8843, -1, 5745, -1], 'generators': [735000271262656, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.n1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106981
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [5083, -1, 4486, -1], 'generators': [735000271262656, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.o1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242107024
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5620, -1, 4666, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 231596, 858339241119360000, 83467440, 167174, 6405163411046400, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.cb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CB', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242106982
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 4, 'diagramx': [134, -1, 194, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.4.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.l1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106983
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [4203, -1, 4191, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.p1', 'projective_image': '331776.ce', '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': '13824.fn'}
  • id: 242106984
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4236, -1, 4202, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.q1', 'projective_image': '331776.ce', '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': '13824.fn'}
  • id: 242106985
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4270, -1, 4213, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.r1', 'projective_image': '331776.ce', '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': '13824.fn'}
  • id: 242106986
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 6, 'diagramx': [5460, -1, 4612, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.s1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106987
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 6, 'diagramx': [797, -1, 3050, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516], 'label': '663552.hk.24.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.t1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106988
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4704, -1, 4359, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.u1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106989
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 6, 'diagramx': [305, -1, 2884, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 2702625326739, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.v1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106990
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [8391, -1, 5594, -1], 'generators': [735000271262656, 735000173107200, 5045, 735087449553840, 371693542943923200, 6405076232755200, 1443759778772019, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.w1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106991
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [4999, -1, 4457, -1], 'generators': [735000271262656, 735000173107200, 5045, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.x1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106992
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [4465, -1, 4279, -1], 'generators': [735000271262656, 735000173107200, 5045, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.y1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106993
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 4, 'diagramx': [100, -1, 183, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.4.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.m1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242106994
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [2396, -1, 3585, -1], 'generators': [735000271262656, 735000173107200, 5045, 1445154533544716, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.z1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106995
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4420, -1, 4264, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ba1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106996
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [6779, -1, 5054, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 2702625326739, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.bb1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106997
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 6, 'diagramx': [7904, -1, 5431, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.bc1', 'projective_image': '331776.ce', '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': '27648.ee'}
  • id: 242106998
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6118, -1, 4833, -1], 'generators': [735000564700755, 372761819497589516, 735000173107200, 16, 5045, 6405076232755200, 180583603200, 83467440, 371696064887347216, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Q', 'old_label': '24.bd1', 'projective_image': '331776.ce', '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': '6912.hv'}
  • id: 242106999
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6173, -1, 4851, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 6405076232755200, 180583603200, 83467440, 371696064887347216, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Q', 'old_label': '24.be1', 'projective_image': '331776.ce', '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': '6912.hv'}
  • id: 242107000
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [978, -1, 3110, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 180583603200, 858339241119360000, 83467440, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BF', 'old_label': '24.bf1', 'projective_image': '331776.ce', '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': '6912.id'}
  • id: 242107001
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 12, 'diagramx': [5958, -1, 4779, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Q', 'old_label': '24.bg1', 'projective_image': '331776.ce', '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': '6912.hv'}
  • id: 242107002
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6012, -1, 4797, -1], 'generators': [2789705318416, 735000564700755, 372761819497589516, 735000173107200, 16, 5045, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Q', 'old_label': '24.bh1', 'projective_image': '331776.ce', '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': '6912.hv'}
  • id: 242107003
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.A', 'coset_action_label': None, 'count': 48, 'diagramx': [2488, -1, 3616, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BI', 'old_label': '24.bi1', 'projective_image': '331776.ce', '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': '6912.go'}
  • id: 242107004
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 4, 'diagramx': [573, -1, 341, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.4.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.n1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.N', 'subgroup_fusion': None, 'weyl_group': '165888.bh'}
  • id: 242107005
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7040, -1, 5142, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 1445154533544716, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BJ', 'old_label': '24.bj1', 'projective_image': '331776.ce', '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': '13824.fy'}
  • id: 242107006
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.B', 'coset_action_label': None, 'count': 24, 'diagramx': [7078, -1, 5154, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BK', 'old_label': '24.bk1', 'projective_image': '331776.ce', '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': '13824.fy'}
  • id: 242107007
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7211, -1, 5199, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bl1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107008
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9131, -1, 5842, -1], 'generators': [735000564700755, 859052010828442796, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bm1', 'projective_image': '331776.ce', '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: 242107009
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7765, -1, 5384, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bn1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107010
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6557, -1, 4979, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bo1', 'projective_image': '331776.ce', '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: 242107011
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9349, -1, 5915, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bp1', 'projective_image': '331776.ce', '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: 242107012
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5562, -1, 4646, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 180583603200, 231596, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bq1', 'projective_image': '331776.ce', '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': '6912.hv'}
  • id: 242107013
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5736, -1, 4705, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 6405076232986796, 391593555], 'label': '663552.hk.24.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.br1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107014
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5506, -1, 4627, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bs1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107015
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 4, 'diagramx': [327, -1, 259, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.4.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '4.o1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.O', 'subgroup_fusion': None, 'weyl_group': '165888.bi'}
  • id: 242107016
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5127, -1, 4501, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 180583603200, 858339241119360000, 7137461057448716, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bt1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107017
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7352, -1, 5246, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bu1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107018
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6445, -1, 4942, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bv1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107019
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1953, -1, 3437, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bw1', 'projective_image': '331776.ce', '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: 242107020
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5414, -1, 4597, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bx1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107021
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4376, -1, 4249, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.by1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107022
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5360, -1, 4579, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.24.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.bz1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BZ', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107023
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2352, -1, 3570, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 859784308474613516, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ca1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107025
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5678, -1, 4685, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 858339241119360000, 83467440, 167174, 6405163411046400, 20671803587635200, 204421261, 6405076232986796, 391593555], 'label': '663552.hk.24.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.cc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CC', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107026
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.A', 'coset_action_label': None, 'count': 1, 'diagramx': [23, 1317, 356, 2290], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.A', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107027
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4510, -1, 4293, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 858339241119360000, 7137461057448716, 83467440, 167174, 6405163411046400, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.cd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107028
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2440, -1, 3600, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 858339241119360000, 83467440, 167174, 6405163411046400, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ce1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107029
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4951, -1, 4441, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.cf1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CF', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107030
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4660, -1, 4344, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.cg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CG', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107031
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1367, -1, 3241, -1], 'generators': [735000564700755, 859052010828442796, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ch1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107032
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7859, -1, 5416, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ci1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107033
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7814, -1, 5401, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 859784308474613516, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.cj1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107034
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7594, -1, 5327, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ck1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CK', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107035
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8174, -1, 5521, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.24.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.cl1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CL', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107036
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5172, -1, 4515, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.cm1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107037
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.B', 'coset_action_label': None, 'count': 1, 'diagramx': [111, 2639, 386, 2441], 'generators': [2789705318416, 735000546803619, 134516545591069361, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.B', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107038
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2227, -1, 3528, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.cn1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107039
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 8, 'diagramx': [2607, -1, 3656, -1], 'generators': [735000564700755, 98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 1443759884984461], 'label': '663552.hk.24.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.I', 'old_label': '24.co1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107040
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 4, 'diagramx': [6401, -1, 4928, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.cp1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CP', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242107041
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 2, 'diagramx': [6351, -1, 4911, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.cq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CQ', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242107042
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 4, 'diagramx': [2138, -1, 3499, -1], 'generators': [735000564700755, 98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 735000377528461], 'label': '663552.hk.24.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.I', 'old_label': '24.cr1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107043
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 4, 'diagramx': [2188, -1, 3515, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 1443759884984461, 391593555], 'label': '663552.hk.24.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.I', 'old_label': '24.cs1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107044
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 2, 'diagramx': [2532, -1, 3631, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.ct1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107045
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 2, 'diagramx': [2566, -1, 3642, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.cu1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107046
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9269, -1, 5888, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.cv1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107047
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2960, -1, 3774, -1], 'generators': [2789705318416, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.cw1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CW', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107048
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [353, -1, 467, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.6.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '6.c1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107049
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 2, 'diagramx': [7114, -1, 5166, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.cx1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CX', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242107050
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [9309, -1, 5902, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.cy1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CY', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107051
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': [2916, -1, 3759, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '24.cz1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CZ', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242107052
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': [2872, -1, 3744, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '24.da1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DA', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242107053
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 2, 'diagramx': [7157, -1, 5181, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.db1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DB', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242107054
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 2, 'diagramx': [8124, -1, 5505, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 6405076232755200, 231596, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '24.dc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DC', 'subgroup_fusion': None, 'weyl_group': '165888.bk'}
  • id: 242107055
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9512, -1, 5970, -1], 'generators': [735000564700755, 98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 1445067355253516], 'label': '663552.hk.24.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BA', 'old_label': '24.dd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107056
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 12, 'diagramx': [9083, -1, 5826, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.24.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.de1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DE', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107057
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9035, -1, 5810, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 1445067355253516, 391593555], 'label': '663552.hk.24.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.df1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107058
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 12, 'diagramx': [550, -1, 2967, -1], 'generators': [735000564700755, 98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 735000377528461, 1445067355253516], 'label': '663552.hk.24.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BD', 'old_label': '24.dg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107059
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 6, 'diagramx': [68, -1, 371, -1], 'generators': [2789705318416, 25770746, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '6.d1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.D', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107060
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 12, 'diagramx': [496, -1, 2949, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 1443759884984461, 1445067355253516, 391593555], 'label': '663552.hk.24.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BE', 'old_label': '24.dh1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107061
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9463, -1, 5953, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.24.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.di1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107062
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': [9423, -1, 5940, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.24.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.dj1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107063
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 2, 'diagramx': [7711, -1, 5366, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.24.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.dk1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DK', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242107064
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6640, -1, 5007, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.dl1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DL', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107065
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6596, -1, 4992, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '24.dm1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DM', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107066
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 12, 'diagramx': [5044, -1, 4473, -1], 'generators': [735000564700755, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 735000377528461], 'label': '663552.hk.24.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CE', 'old_label': '24.dn1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DN', 'subgroup_fusion': None, 'weyl_group': '8000.eh'}
  • id: 242107067
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 2, 'diagramx': [8920, -1, 5771, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 1506440871936000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '24.do1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DO', 'subgroup_fusion': None, 'weyl_group': '165888.bk'}
  • id: 242107068
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 2, 'diagramx': [8882, -1, 5758, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '24.dp1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DP', 'subgroup_fusion': None, 'weyl_group': '165888.bk'}
  • id: 242107069
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 4, 'diagramx': [6219, -1, 4866, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 1506440871936000, 20671803587635200, 1443759884984461, 391593555], 'label': '663552.hk.24.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.K', 'old_label': '24.dq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107070
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.B', 'coset_action_label': None, 'count': 1, 'diagramx': [148, 5128, 64, 659], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.2.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.B', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107071
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 3, 'diagramx': [149, -1, 398, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '6.e1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107072
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2832, -1, 3731, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 43334042168461, 371693542943923200, 6405076232755200, 85005452534355, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BA', 'old_label': '24.dr1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107073
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [6523, -1, 4968, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ds1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DS', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107074
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8721, -1, 5705, -1], 'generators': [735000564700755, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 1443759884984461], 'label': '663552.hk.24.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.DT', 'old_label': '24.dt1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DT', 'subgroup_fusion': None, 'weyl_group': '13824.ex'}
  • id: 242107075
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6488, -1, 4957, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.du1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107076
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2798, -1, 3720, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.dv1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DV', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107077
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8687, -1, 5693, -1], 'generators': [799076421560461, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 85005452534355, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BD', 'old_label': '24.dw1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107078
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 12, 'diagramx': [8653, -1, 5682, -1], 'generators': [735000564700755, 799076421560461, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BE', 'old_label': '24.dx1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107079
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 3, 'diagramx': [2730, -1, 3697, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '24.dy1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107080
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 3, 'diagramx': [2764, -1, 3709, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '24.dz1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107081
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 12, 'diagramx': [7633, -1, 5341, -1], 'generators': [735000564700755, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 735000377528461], 'label': '663552.hk.24.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CE', 'old_label': '24.ea1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EA', 'subgroup_fusion': None, 'weyl_group': '8000.eh'}
  • id: 242107082
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.B', 'coset_action_label': None, 'count': 3, 'diagramx': [184, -1, 410, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '6.f1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107083
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 12, 'diagramx': [7667, -1, 5351, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 735000377528461, 391593555], 'label': '663552.hk.24.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CH', 'old_label': '24.eb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EB', 'subgroup_fusion': None, 'weyl_group': '27648.s'}
  • id: 242107084
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [78, -1, 2808, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 1506440871936000, 134453770979748221, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '24.ec1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EC', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107085
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 2, 'diagramx': [2063, -1, 3474, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 134453770979748221, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '24.ed1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ED', 'subgroup_fusion': None, 'weyl_group': '165888.bk'}
  • id: 242107086
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 2, 'diagramx': [2029, -1, 3462, -1], 'generators': [735000546803619, 134516545591069361, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '24.ee1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EE', 'subgroup_fusion': None, 'weyl_group': '165888.bk'}
  • id: 242107087
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': [26, -1, 2791, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 134453770979748221, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.ef1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EF', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107088
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 4, 'diagramx': [2097, -1, 3485, -1], 'generators': [735000564700755, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 735000377528461, 134516545576433021], 'label': '663552.hk.24.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.K', 'old_label': '24.eg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107089
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 12, 'diagramx': [2696, -1, 3686, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 1506440871936000, 134453770979748221, 20671803587635200, 1443759884984461, 391593555], 'label': '663552.hk.24.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CH', 'old_label': '24.eh1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EH', 'subgroup_fusion': None, 'weyl_group': '27648.s'}
  • id: 242107090
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6823, -1, 5069, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 1485698665651200, 83467440, 167174, 506921450922327018, 204421261, 391593555, 385565346412646400, 621473557293388800], 'label': '663552.hk.24.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.EI', 'old_label': '24.ei1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EI', 'subgroup_fusion': None, 'weyl_group': '10000.cj'}
  • id: 242107091
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1599, -1, 3318, -1], 'generators': [735000546803619, 735000173107200, 98028734, 371693542943923200, 735000271257605, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 2789705323454, 1445154617007118, 20671803587635200, 5054], 'label': '663552.hk.24.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CI', 'old_label': '24.ej1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107092
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1637, -1, 3331, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 1445154617007118, 1443759680735416, 20671803587635200, 735000271262640], 'label': '663552.hk.24.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CJ', 'old_label': '24.ek1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107093
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 3, 'diagramx': [515, -1, 521, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '6.g1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.G', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242107094
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8216, -1, 5536, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 135583776152673263, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 1443759764192776, 20671803587635200, 735000271262640], 'label': '663552.hk.24.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CI', 'old_label': '24.el1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107095
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [449, -1, 2933, -1], 'generators': [1443759764197814, 735000173107200, 135583776152673263, 371693542943923200, 735000271257605, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 2789705323454, 735000644171473, 20671803587635200, 5054], 'label': '663552.hk.24.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CJ', 'old_label': '24.em1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107096
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8345, -1, 5579, -1], 'generators': [735000546803619, 735000173107200, 98028734, 371693542943923200, 735000271257605, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 2789705323454, 20671803587635200, 5054, 134516545598331995], 'label': '663552.hk.24.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CI', 'old_label': '24.en1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107097
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8444, -1, 5612, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 134453770979748221, 1443759680735416, 735000564695713, 20671803587635200, 735000271262640], 'label': '663552.hk.24.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CJ', 'old_label': '24.eo1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107098
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 12, 'diagramx': [2655, -1, 3672, -1], 'generators': [735000173107200, 98028734, 371693542943923200, 735000271257605, 6405076232755200, 858339241119360000, 1506440871936000, 2789705323454, 1445154617007118, 135583776012324776, 20671803587635200, 5054, 735000626264979], 'label': '663552.hk.24.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CI', 'old_label': '24.ep1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107099
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 12, 'diagramx': [5218, -1, 4531, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 735000644166435, 1506440871936000, 1445154617007118, 1443759680735416, 20671803587635200, 135541930406698207, 735000271262640], 'label': '663552.hk.24.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CJ', 'old_label': '24.eq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107100
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 12, 'diagramx': [6956, -1, 5113, -1], 'generators': [2789705318416, 735000546803619, 1445154979144071, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 1506440871936000, 1443759764192776, 20671803587635200, 135583688974382063, 735000271262640], 'label': '663552.hk.24.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CI', 'old_label': '24.er1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107101
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 12, 'diagramx': [6999, -1, 5128, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 135541843228407007, 735000644166435, 1506440871936000, 1445154617007118, 1443759680735416, 20671803587635200, 735000271262640], 'label': '663552.hk.24.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CJ', 'old_label': '24.es1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107102
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 12, 'diagramx': [1415, -1, 3257, -1], 'generators': [735000173107200, 98028734, 1445067438715918, 371693542943923200, 735000271257605, 6405076232755200, 858339241119360000, 1506440871936000, 2789705323454, 135583776012324776, 20671803587635200, 5054, 735000626264979], 'label': '663552.hk.24.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CI', 'old_label': '24.et1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107103
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 12, 'diagramx': [7552, -1, 5313, -1], 'generators': [2789705318416, 735000173107200, 16, 1445067438715918, 371693542943923200, 6405076232755200, 858339241119360000, 735000644166435, 1506440871936000, 1443759680735416, 20671803587635200, 135541930406698207, 735000271262640], 'label': '663552.hk.24.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CJ', 'old_label': '24.eu1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107104
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.B', 'coset_action_label': None, 'count': 3, 'diagramx': [268, -1, 438, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 134453770979748221, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '6.h1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107105
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 12, 'diagramx': [8256, -1, 5549, -1], 'generators': [2789705318416, 467722297, 735000173107200, 16, 371693542943923200, 6405076232755200, 134474874533707595, 858339241119360000, 1506440871936000, 1443759764192776, 20671803587635200, 135583688974382063, 735000271262640], 'label': '663552.hk.24.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CI', 'old_label': '24.ev1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107106
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 12, 'diagramx': [1992, -1, 3450, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 135541843228407007, 1506440871936000, 134453770979748221, 1443759680735416, 735000564695713, 20671803587635200, 735000271262640], 'label': '663552.hk.24.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CJ', 'old_label': '24.ew1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107107
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 24, 'diagramx': [1753, -1, 3370, -1], 'generators': [735000173107200, 5045, 1443846859021574, 732478327838656, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 98028725, 20671803587635200, 1443759884984461], 'label': '663552.hk.24.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.I', 'old_label': '24.ex1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EX', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 242107108
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 24, 'diagramx': [1796, -1, 3384, -1], 'generators': [735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 2789803347125, 1506440871936000, 98028725, 20671803587635200, 1443759884984461], 'label': '663552.hk.24.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.I', 'old_label': '24.ey1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EY', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 242107109
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '4608.B', 'coset_action_label': None, 'count': 48, 'diagramx': [7308, -1, 5231, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ez1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EZ', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107110
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '4608.B', 'coset_action_label': None, 'count': 48, 'diagramx': [3935, -1, 4101, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fa1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FA', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107111
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 12, 'diagramx': [4303, -1, 4224, -1], 'generators': [735000173107200, 16, 5045, 732478327838656, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fb1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FB', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 242107112
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 12, 'diagramx': [4169, -1, 4179, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fc1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FC', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 242107113
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 12, 'diagramx': [3389, -1, 3918, -1], 'generators': [735000173107200, 16, 5045, 732478327838656, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fd1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FD', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107114
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 12, 'diagramx': [261, -1, 2870, -1], 'generators': [735000173107200, 16, 5045, 732478327838656, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 2702625326739, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fe1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FE', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107115
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [224, -1, 423, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.6.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '6.i1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.I', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107116
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.D', 'coset_action_label': None, 'count': 12, 'diagramx': [3344, -1, 3903, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ff1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FF', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107117
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.D', 'coset_action_label': None, 'count': 12, 'diagramx': [216, -1, 2855, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516], 'label': '663552.hk.24.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fg1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FG', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107118
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '4608.B', 'coset_action_label': None, 'count': 48, 'diagramx': [6910, -1, 5098, -1], 'generators': [2789705318416, 735000173107200, 5045, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fh1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FH', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107119
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '4608.B', 'coset_action_label': None, 'count': 48, 'diagramx': [6867, -1, 5083, -1], 'generators': [735000173107200, 5045, 732478327838640, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fi1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FI', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107120
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '4608.B', 'coset_action_label': None, 'count': 48, 'diagramx': [8802, -1, 5732, -1], 'generators': [2789705318416, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fj1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FJ', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107121
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '4608.B', 'coset_action_label': None, 'count': 48, 'diagramx': [8760, -1, 5718, -1], 'generators': [735000173107200, 5045, 732478327838640, 1445154533544716, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fk1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FK', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107122
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 24, 'diagramx': [1561, -1, 3305, -1], 'generators': [735000173107200, 5045, 732478327838656, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fl1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FL', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107123
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 24, 'diagramx': [756, -1, 3036, -1], 'generators': [735000173107200, 5045, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fm1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FM', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107124
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 24, 'diagramx': [1523, -1, 3292, -1], 'generators': [735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461], 'label': '663552.hk.24.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fn1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FN', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107125
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 24, 'diagramx': [711, -1, 3021, -1], 'generators': [735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461], 'label': '663552.hk.24.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fo1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FO', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107126
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.D', 'coset_action_label': None, 'count': 3, 'diagramx': [684, -1, 577, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 1445154533544716, 135583776005026976, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '6.j1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.J', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242107127
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 24, 'diagramx': [7995, -1, 5461, -1], 'generators': [735000173107200, 5045, 732478327838656, 1445154533544716, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fp1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FP', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107128
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 24, 'diagramx': [3049, -1, 3804, -1], 'generators': [735000173107200, 5045, 732478327838656, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.24.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fq1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FQ', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107129
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2304.D', 'coset_action_label': None, 'count': 24, 'diagramx': [7950, -1, 5446, -1], 'generators': [735000173107200, 5045, 1445154533544716, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461], 'label': '663552.hk.24.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fr1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FR', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107130
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2304.D', 'coset_action_label': None, 'count': 24, 'diagramx': [3004, -1, 3789, -1], 'generators': [735000173107200, 5045, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461], 'label': '663552.hk.24.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.fs1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FS', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107131
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 48, 'diagramx': [6065, -1, 4815, -1], 'generators': [2789705318416, 735000564700755, 372761819497589516, 735000173107200, 5045, 6405076232755200, 180583603200, 371693542943923216, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Q', 'old_label': '24.ft1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FT', 'subgroup_fusion': None, 'weyl_group': '6912.hv'}
  • id: 242107132
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [661, -1, 3004, -1], 'generators': [735000564700755, 859052010828442796, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.fu1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107133
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2307, -1, 3555, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.fv1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107134
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [5794, -1, 4724, -1], 'generators': [98155440, 5045, 85005060940800, 371693542943923200, 180583603200, 6405076232755216, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 6405076232986796, 391593555], 'label': '663552.hk.24.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.fw1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FW', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107135
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3975, -1, 4114, -1], 'generators': [98155440, 5045, 85005060940800, 371693542943923200, 180583603200, 6405076232755216, 858339241119360000, 7137461057448716, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.fx1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107136
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 12, 'diagramx': [7471, -1, 5286, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 858339153941068800, 371693542943923200, 858339241119360016, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.fy1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107137
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.C', 'coset_action_label': None, 'count': 3, 'diagramx': [474, -1, 507, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '6.k1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.K', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242107138
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.FZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 12, 'diagramx': [7512, -1, 5300, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.fz1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107139
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3262, -1, 3875, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ga1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107140
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1105, -1, 3153, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 83467440, 20671803587635200, 859784308474613516, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gb1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107141
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3302, -1, 3889, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 858339241119360016, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gc1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107142
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1145, -1, 3166, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.24.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gd1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107143
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3433, -1, 3933, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 858340461615436800, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ge1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107144
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3477, -1, 3948, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gf1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107145
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1190, -1, 3181, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 858340461615436800, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gg1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107146
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1237, -1, 3197, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gh1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107147
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8569, -1, 5654, -1], 'generators': [735000564700755, 735000173107200, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 858340461615436800, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gi1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GI', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107148
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.E', 'coset_action_label': None, 'count': 3, 'diagramx': [436, -1, 494, -1], 'generators': [2789705318416, 735000546803619, 135541843232035818, 735000173107200, 16, 2790071804637, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '6.l1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.L', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242107149
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8613, -1, 5669, -1], 'generators': [735000564700755, 735000173107200, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gj1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GJ', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107150
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4559, -1, 4310, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 858340461615436800, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gk1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107151
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4611, -1, 4327, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gl1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107152
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [5904, -1, 4761, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gm1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GM', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107153
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4062, -1, 4144, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gn1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107154
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [5851, -1, 4743, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.go1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GO', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107155
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4018, -1, 4129, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gp1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107156
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3807, -1, 4058, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gq1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107157
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6733, -1, 5039, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gr1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107158
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3754, -1, 4041, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gs1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107159
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.F', 'coset_action_label': None, 'count': 3, 'diagramx': [394, -1, 480, -1], 'generators': [2789705318416, 735000564700755, 135541843232035818, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '6.m1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107160
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6686, -1, 5023, -1], 'generators': [735000564700755, 735000173107200, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gt1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107161
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 24, 'diagramx': [605, -1, 2985, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gu1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107162
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2263, -1, 3540, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.gv1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107163
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 48, 'diagramx': [7261, -1, 5216, -1], 'generators': [735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.gw1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GW', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107164
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9182, -1, 5859, -1], 'generators': [735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.gx1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107165
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 24, 'diagramx': [9227, -1, 5874, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.gy1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107166
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.GZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 8, 'diagramx': [5269, -1, 4548, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 2702527027200, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.gz1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GZ', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242107167
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 96, 'diagramx': [412, -1, 2920, -1], 'generators': [735000173107200, 5045, 1445154533544716, 43334042168461, 371693542943923200, 6405076232755200, 85005452534355, 858339241119360000, 83467440, 2702527027216, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BA', 'old_label': '24.ha1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107168
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 48, 'diagramx': [3855, -1, 4074, -1], 'generators': [735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.hb1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HB', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107169
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3895, -1, 4087, -1], 'generators': [98155440, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.hc1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107170
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.E', 'coset_action_label': None, 'count': 3, 'diagramx': [312, -1, 453, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 135583776005026976, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.6.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '6.n1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107171
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '864.A', 'coset_action_label': None, 'count': 48, 'diagramx': [3711, -1, 4026, -1], 'generators': [799076421560461, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 85005452534355, 858339241119360000, 83467440, 2702527027216, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BD', 'old_label': '24.hd1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107172
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '864.B', 'coset_action_label': None, 'count': 48, 'diagramx': [3677, -1, 4015, -1], 'generators': [735000564700755, 799076421560461, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 2702527027216, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BE', 'old_label': '24.he1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107173
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 24, 'diagramx': [344, -1, 2898, -1], 'generators': [735000546803619, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.hf1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107174
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 24, 'diagramx': [378, -1, 2909, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.hg1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107175
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [7431, -1, 5273, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.hh1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107176
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [7392, -1, 5259, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.24.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.hi1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107177
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.C', 'coset_action_label': None, 'count': 4, 'diagramx': [4135, -1, 4168, -1], 'generators': [2789705318416, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.hj1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HJ', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242107178
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 2, 'diagramx': [3600, -1, 3989, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.hk1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107179
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 2, 'diagramx': [3640, -1, 4002, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.hl1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107180
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '72.C', 'coset_action_label': None, 'count': 4, 'diagramx': [4101, -1, 4157, -1], 'generators': [735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.24.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.hm1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HM', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242107181
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.C', 'coset_action_label': None, 'count': 1, 'diagramx': [287, 9316, 110, 1136], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 134453770979748221, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.2.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.C', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107182
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.C', 'coset_action_label': None, 'count': 3, 'diagramx': [560, -1, 536, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.6.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '6.o1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.O', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242107183
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3221, -1, 3862, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.hn1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107184
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4914, -1, 4429, -1], 'generators': [98155440, 1445154533222416, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BK', 'old_label': '24.ho1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107185
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1064, -1, 3139, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.24.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.hp1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107186
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8528, -1, 5640, -1], 'generators': [98155440, 1445154533222416, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BM', 'old_label': '24.hq1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HQ', 'subgroup_fusion': None, 'weyl_group': '8000.eh'}
  • id: 242107187
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.C', 'coset_action_label': None, 'count': 12, 'diagramx': [3179, -1, 3847, -1], 'generators': [2789705318416, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.24.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.hr1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HR', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107188
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 6, 'diagramx': [4811, -1, 4395, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.hs1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107189
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 6, 'diagramx': [4846, -1, 4406, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.ht1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107190
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.C', 'coset_action_label': None, 'count': 12, 'diagramx': [172, -1, 2840, -1], 'generators': [2789705318416, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.24.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.hu1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HU', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107191
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 6, 'diagramx': [834, -1, 3062, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.24.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '24.hv1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107192
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 6, 'diagramx': [868, -1, 3073, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.24.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '24.hw1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HW', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242107193
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.D', 'coset_action_label': None, 'count': 3, 'diagramx': [642, -1, 563, -1], 'generators': [2789705318416, 735000546803619, 134516545591069361, 135541843232035818, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '6.p1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107194
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 6, 'diagramx': [6298, -1, 4893, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.N', 'old_label': '24.hx1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HX', 'subgroup_fusion': None, 'weyl_group': '55296.bb'}
  • id: 242107195
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 2, 'diagramx': [8990, -1, 5795, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '24.hy1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HY', 'subgroup_fusion': None, 'weyl_group': '165888.bi'}
  • id: 242107196
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.HZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 2, 'diagramx': [1486, -1, 3280, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 134516632769360561, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '24.hz1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HZ', 'subgroup_fusion': None, 'weyl_group': '165888.bi'}
  • id: 242107197
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 6, 'diagramx': [1320, -1, 3225, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 134453951563351421, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.24.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.O', 'old_label': '24.ia1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IA', 'subgroup_fusion': None, 'weyl_group': '55296.bd'}
  • id: 242107198
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3136, -1, 3833, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.24.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ib1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107199
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4880, -1, 4418, -1], 'generators': [1445154533222400, 98155440, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BK', 'old_label': '24.ic1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107200
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.ID', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1024, -1, 3126, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 2789705318400, 1445067355253516, 1443759884984461, 735000271262640], 'label': '663552.hk.24.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.id1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107201
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8489, -1, 5627, -1], 'generators': [1445154533222400, 98155440, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.24.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BM', 'old_label': '24.ie1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IE', 'subgroup_fusion': None, 'weyl_group': '8000.eh'}
  • id: 242107202
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.D', 'coset_action_label': None, 'count': 12, 'diagramx': [3093, -1, 3819, -1], 'generators': [735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.24.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.if1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IF', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107203
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': [4743, -1, 4372, -1], 'generators': [735000546803619, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.24.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.ig1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107204
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.F', 'coset_action_label': None, 'count': 3, 'diagramx': [602, -1, 550, -1], 'generators': [2789705318416, 735000564700755, 135541843232035818, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 134453770979748221, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.6.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '6.q1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.Q', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242107205
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.F', 'coset_action_label': None, 'count': 6, 'diagramx': [4777, -1, 4383, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.24.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.ih1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107206
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.II', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.D', 'coset_action_label': None, 'count': 12, 'diagramx': [126, -1, 2825, -1], 'generators': [735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1445067355253516, 1443759884984461, 735000271262640], 'label': '663552.hk.24.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ii1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.II', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107207
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': [902, -1, 3084, -1], 'generators': [735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1445067355253516, 735000271262640], 'label': '663552.hk.24.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '24.ij1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107208
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.F', 'coset_action_label': None, 'count': 6, 'diagramx': [936, -1, 3096, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1445067355253516, 735000271262640], 'label': '663552.hk.24.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.ik1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107209
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': [6258, -1, 4879, -1], 'generators': [735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.24.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.il1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IL', 'subgroup_fusion': None, 'weyl_group': '55296.be'}
  • id: 242107210
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.F', 'coset_action_label': None, 'count': 2, 'diagramx': [8956, -1, 5783, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.24.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '24.im1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IM', 'subgroup_fusion': None, 'weyl_group': '165888.bh'}
  • id: 242107211
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': [1280, -1, 3211, -1], 'generators': [735000546803619, 135541843232035818, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.24.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '24.in1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IN', 'subgroup_fusion': None, 'weyl_group': '55296.be'}
  • id: 242107212
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '24.IO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.F', 'coset_action_label': None, 'count': 2, 'diagramx': [1452, -1, 3269, -1], 'generators': [735000564700755, 135541843232035818, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.24.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '24.io1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IO', 'subgroup_fusion': None, 'weyl_group': '165888.bh'}
  • id: 242107213
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '27.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 27, 'diagramx': [28, -1, 5988, -1], 'generators': [98155440, 1445154533222416, 373696419, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 160815265757295776, 858339241119360000, 83467440, 167174, 20671803587635200], 'label': '663552.hk.27.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.A', 'old_label': '27.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107214
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '27.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 27, 'diagramx': [83, -1, 6007, -1], 'generators': [160815265742371818, 98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 391593555], 'label': '663552.hk.27.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.B', 'old_label': '27.b1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107215
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 1, 'diagramx': [19, 1185, 591, 2581], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.A', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107216
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 1, 'diagramx': [917, 1028, 6324, 4975], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '663552.hk', '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': '331776.ce'}
  • id: 242107217
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '331776.A', 'coset_action_label': None, 'count': 64, 'diagramx': [1026, -1, 6360, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 1443759845058301, 6405076232755200, 180583603200, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.32.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.B', 'old_label': '32.b1', 'projective_image': '331776.ce', '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': '10368.sj'}
  • id: 242107218
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 16, 'diagramx': [1594, -1, 6550, -1], 'generators': [735000564700755, 735000271262656, 735000173107200, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.32.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.c1', 'projective_image': '331776.ce', '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': '13824.fn'}
  • id: 242107219
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 8, 'diagramx': [762, -1, 6272, -1], 'generators': [735000564700755, 735000271262656, 735000173107200, 732478327838656, 371693542943923200, 6405076232755200, 858339241119360000, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.32.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.d1', 'projective_image': '331776.ce', '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': '13824.fn'}
  • id: 242107220
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 8, 'diagramx': [1810, -1, 6623, -1], 'generators': [735000271262656, 735000173107200, 1443759845058301, 371693542943923200, 6405076232755200, 858339241119360000, 735000191786880, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.32.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.e1', 'projective_image': '331776.ce', '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': '41472.lx'}
  • id: 242107221
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 16, 'diagramx': [1108, -1, 6388, -1], 'generators': [735000271262656, 735000173107200, 1443759845058301, 371693542943923200, 6405076232755200, 858339241119360000, 735000191786880, 1506440871936000, 20671803587635200, 2702625326739, 1443759680730374, 1443760072353980], 'label': '663552.hk.32.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.f1', 'projective_image': '331776.ce', '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': '41472.lx'}
  • id: 242107222
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 8, 'diagramx': [726, -1, 6260, -1], 'generators': [735000271262656, 735000173107200, 1443759845058301, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.32.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.g1', 'projective_image': '331776.ce', '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': '41472.lx'}
  • id: 242107223
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1207, -1, 6421, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.h1', 'projective_image': '331776.ce', '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': '41472.kl'}
  • id: 242107224
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1645, -1, 6568, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.i1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107225
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1862, -1, 6640, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 6405076232755200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.j1', 'projective_image': '331776.ce', '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': '41472.kl'}
  • id: 242107226
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 1, 'diagramx': [57, 2338, 604, 2712], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.B', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107227
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [800, -1, 6285, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 6405076232755200, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.k1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107228
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1157, -1, 6404, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 858339241119360000, 83467440, 1506440871936000, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.32.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.l1', 'projective_image': '331776.ce', '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': '41472.kl'}
  • id: 242107229
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1252, -1, 6436, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 6405076232755200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.32.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.m1', 'projective_image': '331776.ce', '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': '13824.gj'}
  • id: 242107230
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [692, -1, 6248, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 6405076232755200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.n1', 'projective_image': '331776.ce', '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': '41472.kl'}
  • id: 242107231
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1335, -1, 6464, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 180583603200, 83467440, 1506440871936000, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.o1', 'projective_image': '331776.ce', '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': '20736.dm'}
  • id: 242107232
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 16, 'diagramx': [147, -1, 6066, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 180583603200, 83467440, 1506440871936000, 123426327390807018, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.p1', 'projective_image': '331776.ce', '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': '20736.dm'}
  • id: 242107233
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 16, 'diagramx': [356, -1, 6136, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 180583603200, 83467440, 122002101874673021, 1506440871936000, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.q1', 'projective_image': '331776.ce', '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': '20736.dm'}
  • id: 242107234
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1554, -1, 6537, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 83467440, 1506440871936000, 123426327390807018, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.r1', 'projective_image': '331776.ce', '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': '20736.dm'}
  • id: 242107235
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1727, -1, 6595, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 123426240212515818, 83467440, 1506440871936000, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.s1', 'projective_image': '331776.ce', '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': '20736.dm'}
  • id: 242107236
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 16, 'diagramx': [198, -1, 6083, -1], 'generators': [16, 5045, 135541930410327018, 32034186171354374, 83467440, 7847441452252755, 397368240901632000, 7847441158814640, 378095736066048016, 32034186375608461, 1445067355253516, 7847441060659200], 'label': '663552.hk.32.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.t1', 'projective_image': '331776.ce', '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': '20736.dm'}
  • id: 242107237
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 1, 'diagramx': [686, 5630, 815, 3088], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.C', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107238
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1376, -1, 6477, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 123426240212515818, 83467440, 122002101874673021, 1506440871936000, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.u1', 'projective_image': '331776.ce', '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: 242107239
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1689, -1, 6583, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 1443759845058301, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 1445154617007118, 20671803587635200, 1443760072353980], 'label': '663552.hk.32.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Q', 'old_label': '32.v1', 'projective_image': '331776.ce', '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': '20736.dk'}
  • id: 242107240
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 16, 'diagramx': [307, -1, 6119, -1], 'generators': [735000564700755, 735000271262656, 735000173107200, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 135541930410245647, 1506440871936000, 20671803587635200, 1443759884984461], 'label': '663552.hk.32.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Q', 'old_label': '32.w1', 'projective_image': '331776.ce', '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': '6912.br'}
  • id: 242107241
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 16, 'diagramx': [884, -1, 6313, -1], 'generators': [180583603200, 1506440871936000, 6405076232755200, 371693542943923200, 134453770979748221, 858339241119360000, 735000173107200, 1443759845067663, 478679734, 735000271262656, 732478327838656, 20671803587635200], 'label': '663552.hk.32.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Q', 'old_label': '32.x1', 'projective_image': '331776.ce', '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': '3456.cf'}
  • id: 242107242
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 16, 'diagramx': [1293, -1, 6450, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 371693542943923200, 1443759884975103, 6405076232755200, 858339241119360000, 135541930410245647, 1506440871936000, 478684772, 1445154617007118, 20671803587635200], 'label': '663552.hk.32.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Q', 'old_label': '32.y1', 'projective_image': '331776.ce', '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': '20736.dk'}
  • id: 242107243
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 16, 'diagramx': [843, -1, 6299, -1], 'generators': [735000271262656, 735000173107200, 135541843231954447, 732478327838656, 371693542943923200, 1443759884975103, 6405076232755200, 858339241119360000, 1506440871936000, 478684772, 1445154617007118, 20671803587635200], 'label': '663552.hk.32.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Q', 'old_label': '32.z1', 'projective_image': '331776.ce', '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': '20736.dk'}
  • id: 242107244
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 16, 'diagramx': [1765, -1, 6608, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 1445067438715918, 371693542943923200, 1443759884975103, 6405076232755200, 858339241119360000, 135541930410245647, 1506440871936000, 478684772, 20671803587635200], 'label': '663552.hk.32.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Q', 'old_label': '32.ba1', 'projective_image': '331776.ce', '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': '20736.dk'}
  • id: 242107245
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 16, 'diagramx': [1064, -1, 6373, -1], 'generators': [735000271262656, 735000173107200, 135541843231954447, 732478327838656, 1443759845058301, 371693542943923200, 6405076232755200, 858339241119360000, 1506440871936000, 20671803587635200, 134474874515809656, 735000568526761], 'label': '663552.hk.32.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Q', 'old_label': '32.bb1', 'projective_image': '331776.ce', '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': '20736.dk'}
  • id: 242107246
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '4608.B', 'coset_action_label': None, 'count': 64, 'diagramx': [650, -1, 6234, -1], 'generators': [735000173107200, 1443759845058301, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 735000191786880, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.32.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.bc1', 'projective_image': '663552.hk', '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': '41472.lx'}
  • id: 242107247
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '4608.B', 'coset_action_label': None, 'count': 64, 'diagramx': [237, -1, 6096, -1], 'generators': [735000173107200, 1443759845058301, 371693542943923200, 6405076232755200, 735087449553856, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.32.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.bd1', 'projective_image': '663552.hk', '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': '41472.lx'}
  • id: 242107248
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 2, 'diagramx': [242, 4532, 666, 2962], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.8.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.D', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107249
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 16, 'diagramx': [988, -1, 6347, -1], 'generators': [735000564700755, 735000173107200, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.32.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.be1', 'projective_image': '663552.hk', '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': '13824.fn'}
  • id: 242107250
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 16, 'diagramx': [950, -1, 6335, -1], 'generators': [735000564700755, 735000173107200, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461], 'label': '663552.hk.32.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.bf1', 'projective_image': '663552.hk', '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': '13824.fn'}
  • id: 242107251
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 16, 'diagramx': [573, -1, 6209, -1], 'generators': [1506440871936000, 6405076232755200, 371693542943923200, 1443759680730374, 858339241119360000, 1443760072353980, 735000173107200, 1443759845058301, 735000191786880, 732478327838656, 2789803617939, 20671803587635200], 'label': '663552.hk.32.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.bg1', 'projective_image': '663552.hk', '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': '41472.lx'}
  • id: 242107252
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 16, 'diagramx': [51, -1, 6034, -1], 'generators': [1506440871936000, 6405076232755200, 371693542943923200, 1443759680730374, 858339241119360000, 1443760072353980, 735000173107200, 1443759845058301, 735000191786880, 732478327838656, 2702625326739, 20671803587635200], 'label': '663552.hk.32.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.bh1', 'projective_image': '663552.hk', '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': '41472.lx'}
  • id: 242107253
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.D', 'coset_action_label': None, 'count': 16, 'diagramx': [506, -1, 6186, -1], 'generators': [735000173107200, 1443759845058301, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443760072353980, 2789705318400], 'label': '663552.hk.32.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.bi1', 'projective_image': '663552.hk', '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': '41472.lx'}
  • id: 242107254
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.D', 'coset_action_label': None, 'count': 16, 'diagramx': [17, -1, 6022, -1], 'generators': [735000173107200, 1443759845058301, 371693542943923200, 6405076232755200, 858339241119360000, 735000191786880, 1506440871936000, 20671803587635200, 2702625326739, 1443759680730374, 1443760072353980, 2789705318400], 'label': '663552.hk.32.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '32.bj1', 'projective_image': '663552.hk', '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': '41472.lx'}
  • id: 242107255
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 32, 'diagramx': [93, -1, 6048, -1], 'generators': [735000564700755, 735000173107200, 5045, 6405076232755200, 180583603200, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.bk1', 'projective_image': '663552.hk', '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': '41472.kl'}
  • id: 242107256
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 32, 'diagramx': [471, -1, 6174, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.bl1', 'projective_image': '663552.hk', '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': '41472.kl'}
  • id: 242107257
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1417, -1, 6491, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.bm1', 'projective_image': '663552.hk', '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': '13824.gj'}
  • id: 242107258
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 32, 'diagramx': [271, -1, 6107, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.bn1', 'projective_image': '663552.hk', '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': '41472.kl'}
  • id: 242107259
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 2, 'diagramx': [172, 3435, 642, 2837], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.8.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.E', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107260
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1513, -1, 6524, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.bo1', 'projective_image': '663552.hk', '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': '41472.kl'}
  • id: 242107261
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1461, -1, 6506, -1], 'generators': [735000564700755, 735000173107200, 5045, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.32.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.bp1', 'projective_image': '663552.hk', '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': '41472.kl'}
  • id: 242107262
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 16, 'diagramx': [607, -1, 6220, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 6405076232755200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.32.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.bq1', 'projective_image': '663552.hk', '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': '41472.kl'}
  • id: 242107263
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 16, 'diagramx': [437, -1, 6163, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 6405076232755200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.32.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.br1', 'projective_image': '663552.hk', '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': '41472.kl'}
  • id: 242107264
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 16, 'diagramx': [539, -1, 6197, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 6405076232755200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.32.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.bs1', 'projective_image': '663552.hk', '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': '41472.kl'}
  • id: 242107265
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '32.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 16, 'diagramx': [403, -1, 6151, -1], 'generators': [735000564700755, 735000173107200, 5045, 6405076232755200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1445067355253516, 1443759884984461, 735000271262640], 'label': '663552.hk.32.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '32.bt1', 'projective_image': '663552.hk', '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': '41472.kl'}
  • id: 242107266
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 1, 'diagramx': [3876, 1323, 7947, 5105], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '36.a1', 'projective_image': '331776.ce', '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': '20736.dk'}
  • id: 242107267
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [9536, -1, 9844, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 135562765927477062, 1506440871936000, 1445154617007118, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.b1', 'projective_image': '331776.ce', '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': '9216.ke'}
  • id: 242107268
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5071, -1, 8348, -1], 'generators': [735000271262656, 2789724147217, 735000173107200, 5045, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 135562765927477062, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.c1', 'projective_image': '331776.ce', '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': '9216.ke'}
  • id: 242107269
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 18, 'diagramx': [3919, -1, 7962, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 1445154617007118, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.d1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.D', 'subgroup_fusion': None, 'weyl_group': '9216.ke'}
  • id: 242107270
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 8, 'diagramx': [318, -1, 691, -1], 'generators': [735000271262656, 735000173107200, 732478327838656, 1443759845058301, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 735000191786880, 1506440871936000, 20671803587635200, 1443759680730374, 1443760072353980], 'label': '663552.hk.8.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.F', 'old_label': '8.f1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.F', 'subgroup_fusion': None, 'weyl_group': '41472.lx'}
  • id: 242107271
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 18, 'diagramx': [4142, -1, 8037, -1], 'generators': [735000271262656, 2789724147217, 735000173107200, 5045, 732478327838656, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.e1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.E', 'subgroup_fusion': None, 'weyl_group': '9216.ke'}
  • id: 242107272
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 36, 'diagramx': [2540, -1, 7500, -1], 'generators': [2789705318416, 735000271262656, 2789724147217, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 20671803587635200, 180667070640, 1443759680730374], 'label': '663552.hk.36.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '36.f1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.F', 'subgroup_fusion': None, 'weyl_group': '9216.kf'}
  • id: 242107273
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 36, 'diagramx': [6017, -1, 8665, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 1445154617007118, 20671803587635200, 1443759680730374, 735087370078080], 'label': '663552.hk.36.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '36.g1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.G', 'subgroup_fusion': None, 'weyl_group': '9216.kf'}
  • id: 242107274
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 18, 'diagramx': [9648, -1, 9882, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 2789788785856, 858339241119360000, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.h1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.H', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107275
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 18, 'diagramx': [9393, -1, 9797, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 2789788785856, 858339241119360000, 1506440871936000, 1445154617007118, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.i1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.I', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107276
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [4033, -1, 8000, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 1445154617007118, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.j1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.J', 'subgroup_fusion': None, 'weyl_group': '5000.co'}
  • id: 242107277
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5438, -1, 8471, -1], 'generators': [2789705318416, 1443759764197814, 735000173107200, 16, 5045, 135583776152673263, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 20671803587635200, 735000271262640], 'label': '663552.hk.36.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.k1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.K', 'subgroup_fusion': None, 'weyl_group': '9216.dg'}
  • id: 242107278
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [9086, -1, 9694, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.l1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.L', 'subgroup_fusion': None, 'weyl_group': '5000.co'}
  • id: 242107279
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7192, -1, 9059, -1], 'generators': [2789705318416, 735000173107200, 16, 134474874261976809, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.m1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.M', 'subgroup_fusion': None, 'weyl_group': '10000.df'}
  • id: 242107280
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7226, -1, 9070, -1], 'generators': [2789705318416, 1443759764197814, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 1506440871936000, 20671803587635200, 735000271262640], 'label': '663552.hk.36.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.n1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.N', 'subgroup_fusion': None, 'weyl_group': '10000.df'}
  • id: 242107281
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [356, -1, 704, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 6405076232755200, 180583603200, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.G', 'old_label': '8.g1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.G', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242107282
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7090, -1, 9025, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 134474874258388329, 858339241119360000, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.o1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.O', 'subgroup_fusion': None, 'weyl_group': '20000.ed'}
  • id: 242107283
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [4779, -1, 8250, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 1506440871936000, 1445154617007118, 20671803587635200, 180667070640, 1443759680730374, 735000271262640], 'label': '663552.hk.36.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.p1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.P', 'subgroup_fusion': None, 'weyl_group': '5000.co'}
  • id: 242107284
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [9572, -1, 9856, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1506440871936000, 20671803587635200, 180667070640, 1443759680730374, 735000271262640], 'label': '663552.hk.36.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.q1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.Q', 'subgroup_fusion': None, 'weyl_group': '5000.co'}
  • id: 242107285
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [5405, -1, 8460, -1], 'generators': [2789705318416, 1443759764197814, 735000173107200, 16, 1443846859021574, 5045, 135583776152673263, 371693542943923200, 6405076232755200, 858339241119360000, 1506440871936000, 20671803587635200, 735000271262640], 'label': '663552.hk.36.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.r1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.R', 'subgroup_fusion': None, 'weyl_group': '9216.dg'}
  • id: 242107286
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [7157, -1, 9047, -1], 'generators': [2789705318416, 735000173107200, 16, 134474874261976809, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 1506440871936000, 20671803587635200, 180667070640, 1443759680730374, 735000271262640], 'label': '663552.hk.36.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.s1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.S', 'subgroup_fusion': None, 'weyl_group': '20000.ed'}
  • id: 242107287
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [7259, -1, 9082, -1], 'generators': [2789705318416, 1443759764197814, 735000173107200, 16, 1443846859021574, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1506440871936000, 20671803587635200, 735000271262640], 'label': '663552.hk.36.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.t1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.T', 'subgroup_fusion': None, 'weyl_group': '10000.df'}
  • id: 242107288
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [7123, -1, 9036, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 134474874258388329, 858339241119360000, 1506440871936000, 20671803587635200, 180667070640, 1443759680730374, 735000271262640], 'label': '663552.hk.36.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.u1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.U', 'subgroup_fusion': None, 'weyl_group': '20000.ed'}
  • id: 242107289
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [3065, -1, 7676, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 1445154617007118, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.v1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107290
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [7858, -1, 9282, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765931105868, 1506440871936000, 1445154617007118, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.w1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107291
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [8521, -1, 9504, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 1443759680735416, 20671803587635200, 135583688974382063, 735000271262640, 2789928298205], 'label': '663552.hk.36.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.x1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107292
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.D', 'coset_action_label': None, 'count': 1, 'diagramx': [66, 2609, 36, 371], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.2.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.D', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107293
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': [757, -1, 839, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.h1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107294
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [8559, -1, 9517, -1], 'generators': [2789705318416, 135541843232035818, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 1443759680735416, 20671803587635200, 735000271262640, 2789928298205], 'label': '663552.hk.36.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.y1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107295
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [3180, -1, 7715, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445067438715918, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.z1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107296
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [5520, -1, 8499, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 134474874258388329, 858339241119360000, 83467440, 1506440871936000, 1443759680735416, 20671803587635200, 135583688974382063, 735000271262640], 'label': '663552.hk.36.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.ba1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107297
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [5596, -1, 8524, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445067438715918, 371693542943923200, 6405076232755200, 858339241119360000, 135562765931105868, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107298
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [5558, -1, 8511, -1], 'generators': [2789705318416, 135541843232035818, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 134453770884887767, 1443759680735416, 20671803587635200, 735000271262640], 'label': '663552.hk.36.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107299
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [4856, -1, 8276, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107300
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [70, -1, 6672, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.36.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.be1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107301
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [2765, -1, 7576, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 135562765931105868, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bf1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107302
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [3027, -1, 7663, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 1443759680735416, 20671803587635200, 135583688974382063, 735000271262640, 732478441373416], 'label': '663552.hk.36.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107303
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [2989, -1, 7650, -1], 'generators': [2789705318416, 135541843232035818, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 1443759680735416, 20671803587635200, 735000271262640, 732478441373416], 'label': '663552.hk.36.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bh1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107304
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': [580, -1, 779, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.8.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.i1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107305
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [6634, -1, 8872, -1], 'generators': [2789705318416, 135541843232035818, 735000173107200, 16, 371693542943923200, 6405076232755200, 134474874258388329, 858339241119360000, 83467440, 1506440871936000, 1443759680735416, 20671803587635200, 735000271262640], 'label': '663552.hk.36.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bi1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107306
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [6710, -1, 8898, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765931105868, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.36.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bj1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107307
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 9, 'diagramx': [6672, -1, 8885, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 134453770884887767, 1443759680735416, 20671803587635200, 135583688974382063, 735000271262640], 'label': '663552.hk.36.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bk1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107308
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 18, 'diagramx': [7985, -1, 9325, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 2789788785856, 858339241119360000, 135562765931105868, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BF', 'old_label': '36.bl1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107309
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 18, 'diagramx': [6748, -1, 8911, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 2789788785856, 858339241119360000, 135562765931105868, 1506440871936000, 1445154617007118, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BF', 'old_label': '36.bm1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107310
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '331776.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2616, -1, 7525, -1], 'generators': [2789705318416, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 83467440, 859784127891010316, 859052010926366640, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.bn1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BN', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107311
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '331776.A', 'coset_action_label': None, 'count': 36, 'diagramx': [7054, -1, 9012, -1], 'generators': [2789705318416, 735000173107200, 5045, 1445154533544716, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 83467440, 859052010926366640, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.bo1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BO', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107312
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '331776.A', 'coset_action_label': None, 'count': 36, 'diagramx': [566, -1, 6838, -1], 'generators': [2789705318416, 735000173107200, 5045, 858339153941068800, 371693542943923200, 858339241119360016, 6405076232755200, 83467440, 859784127891010316, 859052010926366640, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.bp1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BP', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107313
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '331776.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3956, -1, 7975, -1], 'generators': [2789705318416, 735000173107200, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 858339241119360016, 6405076232755200, 83467440, 859052010926366640, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.bq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BQ', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107314
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '331776.A', 'coset_action_label': None, 'count': 36, 'diagramx': [9760, -1, 9919, -1], 'generators': [735000173107200, 5045, 1445154533544716, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 858340461615436816, 83467440, 859052010926366640, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.br1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BR', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107315
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': [461, -1, 740, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.j1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.J', 'subgroup_fusion': None, 'weyl_group': '165888.bk'}
  • id: 242107316
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '331776.A', 'coset_action_label': None, 'count': 36, 'diagramx': [9048, -1, 9681, -1], 'generators': [735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 858340461615436816, 83467440, 859784127891010316, 859052010926366640, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.bs1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BS', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107317
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '331776.A', 'coset_action_label': None, 'count': 36, 'diagramx': [4410, -1, 8126, -1], 'generators': [735000173107200, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 858339241119360016, 6405076232755200, 858340461615436816, 83467440, 859052010926366640, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.bt1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BT', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107318
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '331776.A', 'coset_action_label': None, 'count': 36, 'diagramx': [9983, -1, 9994, -1], 'generators': [735000173107200, 5045, 858339153941068800, 371693542943923200, 858339241119360016, 6405076232755200, 858340461615436816, 83467440, 859784127891010316, 859052010926366640, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.bu1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BU', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107319
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.B', 'coset_action_label': None, 'count': 36, 'diagramx': [7896, -1, 9295, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.bv1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BV', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107320
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.B', 'coset_action_label': None, 'count': 36, 'diagramx': [3994, -1, 7988, -1], 'generators': [1445154533222416, 98155456, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180681758640, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261], 'label': '663552.hk.36.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.bw1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BW', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107321
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.B', 'coset_action_label': None, 'count': 36, 'diagramx': [9724, -1, 9907, -1], 'generators': [2789705318416, 98155456, 5045, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 167174, 20671803587635200, 204421261], 'label': '663552.hk.36.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.bx1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BX', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107322
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.B', 'coset_action_label': None, 'count': 36, 'diagramx': [9010, -1, 9668, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 1445154533544716, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.by1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BY', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107323
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 36, 'diagramx': [9686, -1, 9895, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.bz1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BZ', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107324
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 36, 'diagramx': [9431, -1, 9809, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.ca1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CA', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107325
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.B', 'coset_action_label': None, 'count': 36, 'diagramx': [4107, -1, 8025, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.cb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CB', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107326
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': [720, -1, 826, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 134453770979748221, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.k1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.K', 'subgroup_fusion': None, 'weyl_group': '165888.bk'}
  • id: 242107327
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.B', 'coset_action_label': None, 'count': 36, 'diagramx': [8702, -1, 9565, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.cc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CC', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107328
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4071, -1, 8013, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.cd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CD', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107329
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [9124, -1, 9706, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.ce1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CE', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107330
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.B', 'coset_action_label': None, 'count': 36, 'diagramx': [2578, -1, 7513, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 1445154533544716, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.cf1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CF', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107331
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.B', 'coset_action_label': None, 'count': 36, 'diagramx': [7016, -1, 9000, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 83467440, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.cg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CG', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107332
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 18, 'diagramx': [4817, -1, 8263, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 1445154533544716, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.ch1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CH', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107333
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 18, 'diagramx': [9610, -1, 9869, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.ci1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CI', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107334
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8628, -1, 9540, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 180583603200, 83467440, 167174, 122755322310461418, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.I', 'old_label': '36.cj1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CJ', 'subgroup_fusion': None, 'weyl_group': '4608.dp'}
  • id: 242107335
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5186, -1, 8387, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 371693542943923200, 180583603200, 83467440, 167174, 122755322310461418, 20671803587635200, 204421261, 865454203950658316, 391593555], 'label': '663552.hk.36.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.I', 'old_label': '36.ck1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107336
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8176, -1, 9389, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 83467440, 167174, 864742835321164800, 122755322310461418, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.I', 'old_label': '36.cl1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107337
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 8, 'diagramx': [132, -1, 629, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.l1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107338
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6825, -1, 8936, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 371693542943923200, 83467440, 167174, 864742835321164800, 122755322310461418, 20671803587635200, 204421261, 865454203950658316, 391593555], 'label': '663552.hk.36.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.I', 'old_label': '36.cm1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107339
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5976, -1, 8651, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 865454203950336016, 83467440, 167174, 122755322310461418, 6405163411046400, 20671803587635200, 204421261, 865454203950658316, 391593555], 'label': '663552.hk.36.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.cn1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107340
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5477, -1, 8485, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 371693542943923200, 865454203950336016, 83467440, 167174, 122755322310461418, 6405163411046400, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.co1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107341
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [408, -1, 6786, -1], 'generators': [98155440, 16, 5045, 858339153941068800, 371693542943923200, 865454203950336016, 83467440, 167174, 122755322310461418, 20671803587635200, 204421261, 865454203950658316, 391593555], 'label': '663552.hk.36.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.cp1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CP', 'subgroup_fusion': None, 'weyl_group': '4000.dx'}
  • id: 242107342
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3791, -1, 7920, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 865454203950336016, 83467440, 167174, 122755322310461418, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.cq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107343
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1926, -1, 7294, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 180583603200, 83467440, 859784127890688016, 167174, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.cr1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107344
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2395, -1, 7451, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 859784127890688016, 83467440, 167174, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.cs1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107345
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5670, -1, 8549, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 180583603200, 83467440, 167174, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.ct1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CT', 'subgroup_fusion': None, 'weyl_group': '9216.em'}
  • id: 242107346
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5811, -1, 8597, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 371693542943923200, 180583603200, 83467440, 167174, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.cu1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CU', 'subgroup_fusion': None, 'weyl_group': '9216.em'}
  • id: 242107347
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1204, -1, 7052, -1], 'generators': [135583775990103018, 98155440, 878988814242739200, 16, 5045, 371693542943923200, 180583603200, 83467440, 167174, 732478229683216, 864742922499456000, 204421261, 391593555], 'label': '663552.hk.36.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.cv1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107348
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 8, 'diagramx': [93, -1, 616, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.m1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107349
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5306, -1, 8427, -1], 'generators': [2789705318416, 98155440, 878988814242739200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 167174, 134453770979748221, 204421261, 391593555], 'label': '663552.hk.36.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.cw1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107350
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7560, -1, 9182, -1], 'generators': [2789705318416, 98155440, 878988814242739200, 505854220508657021, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 167174, 204421261, 391593555], 'label': '663552.hk.36.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.cx1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107351
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7672, -1, 9220, -1], 'generators': [98155440, 878988814242739200, 16, 5045, 371693542943923200, 180583603200, 83467440, 167174, 732478229683216, 506900440954147818, 864742922499456000, 204421261, 391593555], 'label': '663552.hk.36.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.cy1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107352
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [2803, -1, 7588, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 83467440, 167174, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.cz1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CZ', 'subgroup_fusion': None, 'weyl_group': '9216.em'}
  • id: 242107353
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8853, -1, 9615, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 858339153941068800, 371693542943923200, 83467440, 167174, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.da1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DA', 'subgroup_fusion': None, 'weyl_group': '9216.em'}
  • id: 242107354
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [2202, -1, 7387, -1], 'generators': [135583775990103018, 20671890765926400, 98155440, 878988814242739200, 16, 5045, 371693542943923200, 83467440, 167174, 732478229683216, 864742922499456000, 204421261, 391593555], 'label': '663552.hk.36.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.db1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107355
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [613, -1, 6854, -1], 'generators': [2789705318416, 20671890765926400, 98155440, 878988814242739200, 16, 5045, 371693542943923200, 6405076232755200, 83467440, 167174, 134453770979748221, 204421261, 391593555], 'label': '663552.hk.36.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107356
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1316, -1, 7090, -1], 'generators': [2789705318416, 20671890765926400, 98155440, 878988814242739200, 505854220508657021, 16, 5045, 371693542943923200, 6405076232755200, 83467440, 167174, 204421261, 391593555], 'label': '663552.hk.36.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107357
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1372, -1, 7109, -1], 'generators': [20671890765926400, 98155440, 878988814242739200, 16, 5045, 371693542943923200, 83467440, 167174, 732478229683216, 506900440954147818, 864742922499456000, 204421261, 391593555], 'label': '663552.hk.36.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.de1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107358
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [4448, -1, 8139, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 83467440, 167174, 122755322310461418, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.df1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107359
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': [280, -1, 679, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.n1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107360
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [3141, -1, 7702, -1], 'generators': [160815265742371818, 98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 83467440, 167174, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107361
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [3103, -1, 7689, -1], 'generators': [98155440, 16, 5045, 1509230577254416, 123426240212515818, 83467440, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 1509230577576716, 204421261, 391593555], 'label': '663552.hk.36.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dh1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107362
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8811, -1, 9602, -1], 'generators': [98155440, 135541843232035818, 16, 5045, 1509230577254416, 83467440, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 1509230577576716, 204421261, 391593555], 'label': '663552.hk.36.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.di1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107363
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1582, -1, 7179, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 371693542943923200, 83467440, 167174, 122755322310461418, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dj1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107364
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [3568, -1, 7844, -1], 'generators': [160815265742371818, 98155440, 1445154533222416, 16, 5045, 371693542943923200, 83467440, 167174, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dk1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107365
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [176, -1, 6708, -1], 'generators': [98155440, 16, 5045, 1509230577254416, 123426240212515818, 83467440, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 372825988946933516, 204421261, 391593555], 'label': '663552.hk.36.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dl1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107366
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [221, -1, 6723, -1], 'generators': [98155440, 135541843232035818, 16, 5045, 1509230577254416, 83467440, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 372825988946933516, 204421261, 391593555], 'label': '663552.hk.36.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dm1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107367
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1544, -1, 7166, -1], 'generators': [98155440, 16, 5045, 1509230577254416, 123511332451747818, 83467440, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 204421261, 1445067355253516, 391593555], 'label': '663552.hk.36.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dn1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107368
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [3530, -1, 7832, -1], 'generators': [98155440, 16, 5045, 1509230577254416, 123426240212515818, 83467440, 122002101874673021, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.do1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107369
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [265, -1, 6737, -1], 'generators': [98155440, 135541843232035818, 16, 5045, 1509230577254416, 83467440, 167174, 378098525771366400, 134453770979748221, 615069875913292800, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dp1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107370
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': [619, -1, 792, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.o1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107371
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [309, -1, 6752, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 1509230577254416, 83467440, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 204421261, 1445067355253516, 391593555], 'label': '663552.hk.36.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107372
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7778, -1, 9255, -1], 'generators': [98155440, 16, 5045, 1509230577254416, 123511332451747818, 372761906675880716, 83467440, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dr1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107373
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1422, -1, 7126, -1], 'generators': [98155440, 135541843232035818, 16, 5045, 1509230577254416, 83467440, 122002101874673021, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.ds1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107374
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [9166, -1, 9720, -1], 'generators': [98155440, 16, 5045, 1509230577254416, 123426240212515818, 83467440, 167174, 378098525771366400, 134453770979748221, 615069875913292800, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.dt1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107375
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [9211, -1, 9735, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 1509230577254416, 372761906675880716, 83467440, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.du1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107376
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8137, -1, 9376, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 83467440, 859784127890688016, 167174, 122755322310461418, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Z', 'old_label': '36.dv1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107377
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6787, -1, 8923, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 371693542943923200, 83467440, 859784127890688016, 167174, 122755322310461418, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Z', 'old_label': '36.dw1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107378
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5935, -1, 8638, -1], 'generators': [98155440, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 859784127890688016, 167174, 859784127891010316, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.dx1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DX', 'subgroup_fusion': None, 'weyl_group': '2304.tj'}
  • id: 242107379
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3716, -1, 7894, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 859784127890688016, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.dy1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107380
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5737, -1, 8572, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 859784127890688016, 167174, 859784127891010316, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.dz1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107381
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': [538, -1, 765, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.p1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.P', 'subgroup_fusion': None, 'weyl_group': '165888.bi'}
  • id: 242107382
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5850, -1, 8609, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 859784127890688016, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.ea1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107383
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.A', 'coset_action_label': None, 'count': 36, 'diagramx': [7474, -1, 9154, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.eb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EB', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107384
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6468, -1, 8816, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.ec1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EC', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107385
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.B', 'coset_action_label': None, 'count': 18, 'diagramx': [6507, -1, 8829, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.ed1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ED', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107386
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.A', 'coset_action_label': None, 'count': 36, 'diagramx': [9945, -1, 9982, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.ee1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EE', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107387
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2078, -1, 7345, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.ef1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EF', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107388
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.B', 'coset_action_label': None, 'count': 18, 'diagramx': [2116, -1, 7358, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.eg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EG', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107389
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [9869, -1, 9956, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.eh1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EH', 'subgroup_fusion': None, 'weyl_group': '2304.tj'}
  • id: 242107390
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [660, -1, 6870, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 167174, 859784127891010316, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.ei1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107391
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2001, -1, 7320, -1], 'generators': [735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.ej1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EJ', 'subgroup_fusion': None, 'weyl_group': '2304.er'}
  • id: 242107392
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': [425, -1, 728, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 134453951563351421, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.8.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.q1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Q', 'subgroup_fusion': None, 'weyl_group': '165888.bi'}
  • id: 242107393
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8941, -1, 9645, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.ek1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EK', 'subgroup_fusion': None, 'weyl_group': '4608.hp'}
  • id: 242107394
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.B', 'coset_action_label': None, 'count': 18, 'diagramx': [8974, -1, 9656, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.el1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EL', 'subgroup_fusion': None, 'weyl_group': '4608.hp'}
  • id: 242107395
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3606, -1, 7857, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.em1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EM', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107396
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8068, -1, 9352, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.en1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EN', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107397
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.B', 'coset_action_label': None, 'count': 18, 'diagramx': [8101, -1, 9364, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.eo1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EO', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107398
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2890, -1, 7617, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.ep1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EP', 'subgroup_fusion': None, 'weyl_group': '2304.er'}
  • id: 242107399
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4643, -1, 8205, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.eq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EQ', 'subgroup_fusion': None, 'weyl_group': '4608.hp'}
  • id: 242107400
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.B', 'coset_action_label': None, 'count': 18, 'diagramx': [4701, -1, 8224, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.er1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ER', 'subgroup_fusion': None, 'weyl_group': '4608.hp'}
  • id: 242107401
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.A', 'coset_action_label': None, 'count': 36, 'diagramx': [491, -1, 6814, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.es1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ES', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107402
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.A', 'coset_action_label': None, 'count': 18, 'diagramx': [822, -1, 6925, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.et1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ET', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107403
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.E', 'coset_action_label': None, 'count': 1, 'diagramx': [196, 6545, 79, 820], 'generators': [2789705318416, 735000564700755, 135541843232035818, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.2.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.E', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107404
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': [653, -1, 804, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.8.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.r1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107405
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.B', 'coset_action_label': None, 'count': 18, 'diagramx': [867, -1, 6939, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.eu1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EU', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107406
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1963, -1, 7307, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.ev1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107407
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2433, -1, 7464, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 167174, 859784127891010316, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.ew1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107408
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.A', 'coset_action_label': None, 'count': 36, 'diagramx': [1156, -1, 7036, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.ex1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EX', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107409
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6283, -1, 8754, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.ey1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EY', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107410
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.B', 'coset_action_label': None, 'count': 18, 'diagramx': [6316, -1, 8766, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.ez1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EZ', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107411
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20736.A', 'coset_action_label': None, 'count': 36, 'diagramx': [9326, -1, 9774, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.fa1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FA', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107412
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2469, -1, 7476, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.fb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FB', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107413
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.B', 'coset_action_label': None, 'count': 18, 'diagramx': [2504, -1, 7488, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.fc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FC', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107414
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [8898, -1, 9630, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.fd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FD', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107415
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': [206, -1, 654, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1445067355253516, 1443759884984461, 735000271262640], 'label': '663552.hk.8.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.s1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107416
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7302, -1, 9096, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.fe1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FE', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107417
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [7353, -1, 9113, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.ff1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FF', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107418
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [9832, -1, 9944, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 231596, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '36.fg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FG', 'subgroup_fusion': None, 'weyl_group': '6912.id'}
  • id: 242107419
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [698, -1, 6883, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.fh1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FH', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107420
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 72, 'diagramx': [3294, -1, 7753, -1], 'generators': [735000564700755, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261], 'label': '663552.hk.36.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.FI', 'old_label': '36.fi1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FI', 'subgroup_fusion': None, 'weyl_group': '4608.kd'}
  • id: 242107421
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 18, 'diagramx': [736, -1, 6896, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.fj1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107422
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3218, -1, 7727, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.fk1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FK', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107423
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [3256, -1, 7740, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.fl1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FL', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107424
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 36, 'diagramx': [7398, -1, 9128, -1], 'generators': [735000564700755, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 735000377528461], 'label': '663552.hk.36.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.FM', 'old_label': '36.fm1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FM', 'subgroup_fusion': None, 'weyl_group': '4608.hz'}
  • id: 242107425
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 36, 'diagramx': [7436, -1, 9141, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 735000377528461, 391593555], 'label': '663552.hk.36.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.FN', 'old_label': '36.fn1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FN', 'subgroup_fusion': None, 'weyl_group': '4608.hz'}
  • id: 242107426
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': [499, -1, 752, -1], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.8.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.t1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.T', 'subgroup_fusion': None, 'weyl_group': '165888.bh'}
  • id: 242107427
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7819, -1, 9269, -1], 'generators': [2789705318416, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.fo1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FO', 'subgroup_fusion': None, 'weyl_group': '9216.em'}
  • id: 242107428
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 18, 'diagramx': [7940, -1, 9309, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.fp1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FP', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107429
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 12, 'diagramx': [2842, -1, 7601, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 231596, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261], 'label': '663552.hk.36.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '36.fq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FQ', 'subgroup_fusion': None, 'weyl_group': '6912.go'}
  • id: 242107430
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4504, -1, 8158, -1], 'generators': [98155440, 373696419, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 231596, 858339241119360000, 83467440, 167174, 20671803587635200], 'label': '663552.hk.36.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '36.fr1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FR', 'subgroup_fusion': None, 'weyl_group': '13824.fy'}
  • id: 242107431
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4578, -1, 8183, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 231596, 858339241119360000, 83467440, 167174, 20671803587635200, 391593555], 'label': '663552.hk.36.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '36.fs1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FS', 'subgroup_fusion': None, 'weyl_group': '13824.fy'}
  • id: 242107432
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [528, -1, 6826, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261], 'label': '663552.hk.36.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.ft1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FT', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107433
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [909, -1, 6953, -1], 'generators': [98155440, 373696419, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200], 'label': '663552.hk.36.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.fu1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FU', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107434
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [947, -1, 6966, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 391593555], 'label': '663552.hk.36.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.fv1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FV', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107435
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 72, 'diagramx': [985, -1, 6979, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 85005060940800, 1443759706333946, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200], 'label': '663552.hk.36.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.FW', 'old_label': '36.fw1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FW', 'subgroup_fusion': None, 'weyl_group': '4608.hp'}
  • id: 242107436
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3679, -1, 7882, -1], 'generators': [735000564700755, 98155440, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200], 'label': '663552.hk.36.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.FX', 'old_label': '36.fx1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107437
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': [392, -1, 716, -1], 'generators': [735000564700755, 135541843232035818, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.8.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.u1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.U', 'subgroup_fusion': None, 'weyl_group': '165888.bh'}
  • id: 242107438
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3643, -1, 7870, -1], 'generators': [735000546803619, 98155440, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200], 'label': '663552.hk.36.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.FY', 'old_label': '36.fy1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107439
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.FZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 18, 'diagramx': [455, -1, 6802, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.fz1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FZ', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107440
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1467, -1, 7140, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '36.ga1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GA', 'subgroup_fusion': None, 'weyl_group': '6912.gq'}
  • id: 242107441
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4985, -1, 8319, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '36.gb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107442
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4945, -1, 8306, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '36.gc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107443
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 9, 'diagramx': [5634, -1, 8537, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.gd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GD', 'subgroup_fusion': None, 'weyl_group': '9216.em'}
  • id: 242107444
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5773, -1, 8584, -1], 'generators': [98155440, 16, 5045, 1509230577254416, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 1445067355253516, 391593555], 'label': '663552.hk.36.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.ge1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GE', 'subgroup_fusion': None, 'weyl_group': '9216.em'}
  • id: 242107445
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1260, -1, 7071, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 1509230577254416, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.gf1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107446
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5360, -1, 8445, -1], 'generators': [2789705318416, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 134453770979748221, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.gg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107447
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7616, -1, 9201, -1], 'generators': [98155440, 135541843232035818, 16, 5045, 1509230577254416, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.gh1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107448
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '9.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 9, 'diagramx': [60, -1, 866, -1], 'generators': [160815265742371818, 98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.9.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '9.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107449
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7728, -1, 9238, -1], 'generators': [2789705318416, 98155440, 16, 5045, 134453951563351421, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.gi1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107450
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [7513, -1, 9166, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.gj1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GJ', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107451
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [6596, -1, 8859, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 204421261], 'label': '663552.hk.36.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.GK', 'old_label': '36.gk1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GK', 'subgroup_fusion': None, 'weyl_group': '4608.hp'}
  • id: 242107452
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6423, -1, 8802, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.gl1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GL', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107453
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [6552, -1, 8844, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.gm1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GM', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107454
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [9252, -1, 9749, -1], 'generators': [98155440, 1445154533222416, 373696419, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200], 'label': '663552.hk.36.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BD', 'old_label': '36.gn1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GN', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242107455
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [9289, -1, 9762, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 391593555], 'label': '663552.hk.36.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BE', 'old_label': '36.go1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GO', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242107456
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [9907, -1, 9969, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 1445067355253516], 'label': '663552.hk.36.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.gp1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GP', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107457
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2154, -1, 7371, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.36.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.gq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GQ', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107458
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [2040, -1, 7332, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.36.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.gr1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GR', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107459
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '9.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36.A', 'coset_action_label': None, 'count': 9, 'diagramx': [19, -1, 852, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 135562765927477062, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.9.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '9.b1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107460
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4900, -1, 8291, -1], 'generators': [98155440, 1445154533222416, 373696419, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200], 'label': '663552.hk.36.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BD', 'old_label': '36.gs1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GS', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242107461
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 6, 'diagramx': [8664, -1, 9552, -1], 'generators': [98155440, 1445154533222416, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 391593555], 'label': '663552.hk.36.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '36.gt1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GT', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107462
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5893, -1, 8623, -1], 'generators': [2789705318416, 98155440, 373696419, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 134453770994384561, 20671803587635200], 'label': '663552.hk.36.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '36.gu1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GU', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107463
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [25, -1, 6657, -1], 'generators': [2789705318416, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 134453770979748221, 20671803587635200, 391593555], 'label': '663552.hk.36.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BE', 'old_label': '36.gv1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GV', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242107464
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5703, -1, 8560, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.gw1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107465
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [3752, -1, 7907, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.36.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.gx1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GX', 'subgroup_fusion': None, 'weyl_group': '5000.co'}
  • id: 242107466
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 3, 'diagramx': [356, -1, 6768, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '36.gy1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GY', 'subgroup_fusion': None, 'weyl_group': '27648.u'}
  • id: 242107467
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.GZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 3, 'diagramx': [8738, -1, 9577, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 134474874258388329, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '36.gz1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107468
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 3, 'diagramx': [3330, -1, 7765, -1], 'generators': [2789705318416, 135541843232035818, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '36.ha1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HA', 'subgroup_fusion': None, 'weyl_group': '27648.u'}
  • id: 242107469
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 3, 'diagramx': [3372, -1, 7779, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 134474693674785129, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.B', 'old_label': '36.hb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107470
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 1, 'diagramx': [2157, 5022, 1596, 3650], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.A', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107471
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 18, 'diagramx': [2944, -1, 7635, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BF', 'old_label': '36.hc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107472
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5029, -1, 8334, -1], 'generators': [98155440, 373696419, 16, 5045, 135583776005026976, 371693542943923200, 6405076232755200, 231596, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200], 'label': '663552.hk.36.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BD', 'old_label': '36.hd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HD', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242107473
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4745, -1, 8239, -1], 'generators': [98155440, 373696419, 16, 5045, 135583776005026976, 371693542943923200, 6405076232755200, 231596, 858339241119360000, 83467440, 167174, 1506440871936000, 20671803587635200], 'label': '663552.hk.36.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.J', 'old_label': '36.he1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HE', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107474
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [8027, -1, 9339, -1], 'generators': [98155440, 16, 5045, 371693542943923200, 6405076232755200, 231596, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 391593555], 'label': '663552.hk.36.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BE', 'old_label': '36.hf1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HF', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242107475
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 6, 'diagramx': [9360, -1, 9786, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 231596, 858339241119360000, 83467440, 167174, 1506440871936000, 20671803587635200, 391593555], 'label': '663552.hk.36.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '36.hg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HG', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 242107476
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [8595, -1, 9529, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 371693542943923200, 6405076232755200, 231596, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.I', 'old_label': '36.hh1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HH', 'subgroup_fusion': None, 'weyl_group': '13824.bi'}
  • id: 242107477
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8772, -1, 9589, -1], 'generators': [98155440, 373696419, 16, 5045, 135541930425250976, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200], 'label': '663552.hk.36.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BD', 'old_label': '36.hi1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HI', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242107478
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5147, -1, 8374, -1], 'generators': [160815265742371818, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Z', 'old_label': '36.hj1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107479
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 18, 'diagramx': [5109, -1, 8361, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BF', 'old_label': '36.hk1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107480
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 18, 'diagramx': [104, -1, 6684, -1], 'generators': [98155440, 373696419, 16, 5045, 1445154533544716, 135583776005026976, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 1506440871936000, 20671803587635200], 'label': '663552.hk.36.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BD', 'old_label': '36.hl1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HL', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242107481
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.B', 'coset_action_label': None, 'count': 1, 'diagramx': [2202, 6370, 1611, 3804], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.B', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107482
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2358, -1, 7439, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 756010345707661, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 756010532879955, 149055437329239018], 'label': '663552.hk.36.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.HM', 'old_label': '36.hm1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107483
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [136, -1, 6695, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200, 391593555], 'label': '663552.hk.36.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BE', 'old_label': '36.hn1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HN', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242107484
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 36, 'diagramx': [6383, -1, 8788, -1], 'generators': [160815265742371818, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 1485698870072461, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 391593555], 'label': '663552.hk.36.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.HO', 'old_label': '36.ho1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107485
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2324, -1, 7427, -1], 'generators': [735000564700755, 135583775990103018, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 1485698665651200, 83467440, 167174, 20671803587635200], 'label': '663552.hk.36.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.HP', 'old_label': '36.hp1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HP', 'subgroup_fusion': None, 'weyl_group': '9216.er'}
  • id: 242107486
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 36, 'diagramx': [6351, -1, 8777, -1], 'generators': [735000546803619, 98155440, 16, 5045, 135541930425250976, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 1506440871936000, 20671803587635200], 'label': '663552.hk.36.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.HQ', 'old_label': '36.hq1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HQ', 'subgroup_fusion': None, 'weyl_group': '9216.er'}
  • id: 242107487
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 72, 'diagramx': [8212, -1, 9401, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 1506441263529555, 20671803587635200, 735000377528461], 'label': '663552.hk.36.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.HR', 'old_label': '36.hr1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HR', 'subgroup_fusion': None, 'weyl_group': '2304.hr'}
  • id: 242107488
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 18, 'diagramx': [1508, -1, 7154, -1], 'generators': [135583775990103018, 98155440, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 1506440871936000, 20671803587635200, 391593555], 'label': '663552.hk.36.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BE', 'old_label': '36.hs1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HS', 'subgroup_fusion': None, 'weyl_group': '18432.ez'}
  • id: 242107489
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6978, -1, 8987, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 1445154617007118, 1443759680735416, 20671803587635200, 135562765927391388, 735000271262640], 'label': '663552.hk.36.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.ht1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HT', 'subgroup_fusion': None, 'weyl_group': '9216.ke'}
  • id: 242107490
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6864, -1, 8949, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 135562765927477062, 1506440871936000, 1445154617007118, 1443759680735416, 20671803587635200, 735000271262640], 'label': '663552.hk.36.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.hu1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HU', 'subgroup_fusion': None, 'weyl_group': '9216.ke'}
  • id: 242107491
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2288, -1, 7416, -1], 'generators': [735000173107200, 98028734, 371693542943923200, 735000271257605, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 2789705323454, 1445154617007118, 20671803587635200, 5054, 135562765927391388], 'label': '663552.hk.36.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.hv1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HV', 'subgroup_fusion': None, 'weyl_group': '9216.ke'}
  • id: 242107513
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 36, 'diagramx': [4258, -1, 8076, -1], 'generators': [98155440, 5045, 1445154533544716, 371693542943923200, 858339241119360016, 180583603200, 859784127890688016, 83467440, 167174, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.ip1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107492
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.C', 'coset_action_label': None, 'count': 1, 'diagramx': [612, 1185, 1078, 3213], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.C', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107493
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3415, -1, 7793, -1], 'generators': [735000173107200, 98028734, 371693542943923200, 735000271257605, 6405076232755200, 180583603200, 858339241119360000, 135562765927477062, 1506440871936000, 2789705323454, 1445154617007118, 20671803587635200, 5054], 'label': '663552.hk.36.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.hw1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HW', 'subgroup_fusion': None, 'weyl_group': '9216.ke'}
  • id: 242107494
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 18, 'diagramx': [6940, -1, 8974, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 180583608245, 1506440871936000, 1445154617007118, 1443759680735416, 20671803587635200, 135562765927391388, 735000271262640], 'label': '663552.hk.36.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.hx1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HX', 'subgroup_fusion': None, 'weyl_group': '9216.ke'}
  • id: 242107495
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 18, 'diagramx': [6902, -1, 8962, -1], 'generators': [2789705318416, 735000173107200, 16, 371693542943923200, 6405076232755200, 858339241119360000, 180583608245, 135562765927477062, 1506440871936000, 1445154617007118, 1443759680735416, 20671803587635200, 735000271262640], 'label': '663552.hk.36.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.hy1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HY', 'subgroup_fusion': None, 'weyl_group': '9216.ke'}
  • id: 242107496
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.HZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 18, 'diagramx': [2250, -1, 7403, -1], 'generators': [735000173107200, 98028734, 371693542943923200, 735000271257605, 6405076232755200, 858339241119360000, 180583608245, 1506440871936000, 2789705323454, 1445154617007118, 20671803587635200, 5054, 135562765927391388], 'label': '663552.hk.36.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.hz1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HZ', 'subgroup_fusion': None, 'weyl_group': '9216.ke'}
  • id: 242107497
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 18, 'diagramx': [3453, -1, 7806, -1], 'generators': [735000173107200, 98028734, 371693542943923200, 735000271257605, 6405076232755200, 858339241119360000, 180583608245, 135562765927477062, 1506440871936000, 2789705323454, 1445154617007118, 20671803587635200, 5054], 'label': '663552.hk.36.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.ia1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IA', 'subgroup_fusion': None, 'weyl_group': '9216.ke'}
  • id: 242107498
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '663552.a1', 'coset_action_label': '36T33414', 'count': 144, 'diagramx': [1772, -1, 7243, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 859052010926366640, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.ib1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IB', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107499
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '663552.a1', 'coset_action_label': '36T33415', 'count': 144, 'diagramx': [1810, -1, 7256, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 859784127891010316, 859052010926366640, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.ic1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IC', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107500
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.ID', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '41472.B', 'coset_action_label': None, 'count': 144, 'diagramx': [1658, -1, 7205, -1], 'generators': [735000173107200, 16, 5045, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.id1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ID', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107501
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '41472.B', 'coset_action_label': None, 'count': 144, 'diagramx': [1620, -1, 7192, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.36.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.ie1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IE', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107502
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 72, 'diagramx': [6171, -1, 8716, -1], 'generators': [735000173107200, 16, 5045, 732478327838656, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.if1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IF', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107503
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.D', 'coset_action_label': None, 'count': 1, 'diagramx': [2336, 7662, 1656, 3951], 'generators': [2789705318416, 735000546803619, 134516545591069361, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.D', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107504
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 72, 'diagramx': [6132, -1, 8704, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.ig1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IG', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107505
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 72, 'diagramx': [3832, -1, 7933, -1], 'generators': [2789705318416, 735000173107200, 16, 98028734, 371693542943923200, 735000271257605, 6405076232755200, 858339241119360000, 180583608245, 135562765931105868, 1506440871936000, 1445154617007118, 20671803587635200], 'label': '663552.hk.36.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.B', 'old_label': '36.ih1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IH', 'subgroup_fusion': None, 'weyl_group': '9216.ep'}
  • id: 242107506
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.II', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 36, 'diagramx': [6055, -1, 8678, -1], 'generators': [2789705318416, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467456, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.ii1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.II', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107507
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 36, 'diagramx': [6093, -1, 8691, -1], 'generators': [735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 2789788785856, 858339241119360000, 83467456, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.ij1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IJ', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107508
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 36, 'diagramx': [9502, -1, 9833, -1], 'generators': [1443759764197814, 735000173107200, 5045, 1443759680730365, 135583776152673263, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 1506440871936000, 20671803587635200, 1445154533389565, 735000271262640], 'label': '663552.hk.36.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.X', 'old_label': '36.ik1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IK', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 242107509
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 36, 'diagramx': [5262, -1, 8412, -1], 'generators': [2789705318416, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765931105868, 83467456, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.36.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BH', 'old_label': '36.il1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107510
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 72, 'diagramx': [3491, -1, 7819, -1], 'generators': [2789705318416, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 135562765927477062, 1506440871936000, 20671803587635200, 1443759680730374], 'label': '663552.hk.36.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '36.im1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107511
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 72, 'diagramx': [9796, -1, 9932, -1], 'generators': [735000173107200, 16, 5045, 732478327838656, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 1506440871936000, 20671803587635200, 180667070640, 1443759680730374], 'label': '663552.hk.36.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.G', 'old_label': '36.in1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107512
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 36, 'diagramx': [4220, -1, 8063, -1], 'generators': [98155440, 1445154533222416, 5045, 371693542943923200, 858339241119360016, 180583603200, 83467440, 167174, 859784127891010316, 864742922499456000, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.io1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107514
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.F', 'coset_action_label': None, 'count': 1, 'diagramx': [240, 7900, 94, 975], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 1445067355253516, 735000271262640], 'label': '663552.hk.2.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.F', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107515
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.E', 'coset_action_label': None, 'count': 1, 'diagramx': [1220, 3667, 1282, 3496], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 134516632769360561, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.E', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107516
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2718, -1, 7560, -1], 'generators': [98155440, 878988814242739200, 20671803587635216, 5045, 371693542943923200, 180583603200, 19230833612390416, 83467440, 167174, 506900440954147818, 864742922499456000, 204421261, 391593555], 'label': '663552.hk.36.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.R', 'old_label': '36.iq1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107517
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 36, 'diagramx': [1115, -1, 7023, -1], 'generators': [98155440, 5045, 1509230577254416, 123511332451747818, 371693542943923216, 83467440, 167174, 378098525771366400, 615069875913292800, 20671803587635200, 204421261, 1445067355253516, 391593555], 'label': '663552.hk.36.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BB', 'old_label': '36.ir1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107518
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 72, 'diagramx': [1026, -1, 6993, -1], 'generators': [98155440, 5045, 371693542943923200, 865454203950336016, 180583603200, 83467440, 167174, 864742922499456016, 122755322310461418, 859784127891010316, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.K', 'old_label': '36.is1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107519
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 72, 'diagramx': [778, -1, 6910, -1], 'generators': [98155440, 1445154533222416, 5045, 858339153941068800, 371693542943923200, 7137461057448716, 83467440, 167174, 864742922499456016, 122755322310461418, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.it1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107520
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 72, 'diagramx': [4296, -1, 8088, -1], 'generators': [98155440, 1445154533222416, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 83467440, 167174, 859784127891010316, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.iu1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107521
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 72, 'diagramx': [4334, -1, 8101, -1], 'generators': [98155440, 5045, 1445154533544716, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 859784127890688016, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.iv1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107522
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 144, 'diagramx': [1696, -1, 7218, -1], 'generators': [2789705318416, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.iw1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IW', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107523
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '13824.A', 'coset_action_label': None, 'count': 72, 'diagramx': [8314, -1, 9435, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.ix1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IX', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107524
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '13824.B', 'coset_action_label': None, 'count': 72, 'diagramx': [8382, -1, 9458, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.iy1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IY', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107525
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.IZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 144, 'diagramx': [1734, -1, 7230, -1], 'generators': [735000173107200, 5045, 1445154533544716, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.iz1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IZ', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107526
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.F', 'coset_action_label': None, 'count': 1, 'diagramx': [1177, 2377, 1268, 3349], 'generators': [2789705318416, 735000564700755, 135541843232035818, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.f1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.F', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107527
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '13824.A', 'coset_action_label': None, 'count': 72, 'diagramx': [8348, -1, 9446, -1], 'generators': [735000546803619, 735000173107200, 5045, 1445154533544716, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.ja1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JA', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107528
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '13824.B', 'coset_action_label': None, 'count': 72, 'diagramx': [8416, -1, 9469, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 858339241119360016, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.jb1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JB', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107529
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 36, 'diagramx': [4182, -1, 8050, -1], 'generators': [98155440, 1445154533222416, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 180583603216, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.jc1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107530
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 36, 'diagramx': [4372, -1, 8114, -1], 'generators': [1445154533222400, 98155440, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.jd1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107531
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2663, -1, 7541, -1], 'generators': [135583775990103018, 98155440, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 732478229683200, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.36.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.R', 'old_label': '36.je1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107532
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 144, 'diagramx': [1888, -1, 7281, -1], 'generators': [2789705318416, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.36.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.jf1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JF', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107533
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '864.A', 'coset_action_label': None, 'count': 72, 'diagramx': [8246, -1, 9412, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 180583603216, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.jg1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JG', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107534
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '864.B', 'coset_action_label': None, 'count': 72, 'diagramx': [8280, -1, 9423, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 858339241119360000, 180583603216, 83467440, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.jh1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JH', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107535
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 144, 'diagramx': [1849, -1, 7268, -1], 'generators': [735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 2789705318400, 1443759884984461, 735000271262640], 'label': '663552.hk.36.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.T', 'old_label': '36.ji1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JI', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107536
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '864.A', 'coset_action_label': None, 'count': 72, 'diagramx': [8450, -1, 9481, -1], 'generators': [735000546803619, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.36.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.jj1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JJ', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107537
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [1427, -1, 1352, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.12.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.g1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.G', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107538
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '864.B', 'coset_action_label': None, 'count': 72, 'diagramx': [8484, -1, 9492, -1], 'generators': [735000564700755, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.36.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.V', 'old_label': '36.jk1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JK', 'subgroup_fusion': None, 'weyl_group': '9216.jm'}
  • id: 242107539
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.C', 'coset_action_label': None, 'count': 36, 'diagramx': [6246, -1, 8742, -1], 'generators': [2789705318416, 735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.36.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.jl1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JL', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107540
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '72.C', 'coset_action_label': None, 'count': 36, 'diagramx': [6209, -1, 8729, -1], 'generators': [735000173107200, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.36.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.jm1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JM', 'subgroup_fusion': None, 'weyl_group': '4608.mm'}
  • id: 242107541
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '72.C', 'coset_action_label': None, 'count': 12, 'diagramx': [9467, -1, 9821, -1], 'generators': [735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 135541930410327018, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.36.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.G', 'old_label': '36.jn1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107542
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 36, 'diagramx': [1070, -1, 7008, -1], 'generators': [135583775990103018, 98155440, 5045, 1509230577254416, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 1445067355253516, 391593555], 'label': '663552.hk.36.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BB', 'old_label': '36.jo1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107543
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '36.JP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.C', 'coset_action_label': None, 'count': 36, 'diagramx': [5224, -1, 8400, -1], 'generators': [2789705318416, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 135562765927477062, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1445067355253516, 735000271262640], 'label': '663552.hk.36.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.BH', 'old_label': '36.jp1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107544
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '48.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '331776.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1122, -1, 5246], 'generators': [735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.48.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.A', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107545
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '48.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '331776.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 2151, -1, 5363], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.48.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.b1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.B', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107546
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '48.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '331776.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 6264, -1, 5832], 'generators': [2789705318416, 735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.48.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.c1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.C', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107547
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '48.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '331776.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 3179, -1, 5481], 'generators': [2789705318416, 735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.48.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.d1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.D', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107548
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 12, 'diagramx': [1343, -1, 1323, -1], 'generators': [2789705318416, 735000271262656, 735000173107200, 5045, 1445154533544716, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.12.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.h1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.H', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107549
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '48.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '331776.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 4207, -1, 5598], 'generators': [735000546803619, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.48.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.e1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.E', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107550
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '48.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '331776.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.F', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 5236, -1, 5715], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.48.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.f1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.F', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107551
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '72.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1286, -1, 5973], 'generators': [2789705318416, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.72.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '72.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.A', 'subgroup_fusion': None, 'weyl_group': '20736.dk'}
  • id: 242107552
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '72.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 2721, -1, 6137], 'generators': [98155440, 16, 5045, 371693542943923200, 6405076232755200, 231596, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.72.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '72.b1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107553
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '72.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '72.C', 'coset_action_label': None, 'count': 2, 'diagramx': [-1, 4157, -1, 6301], 'generators': [735000173107200, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 2789705318400, 735000271262640], 'label': '663552.hk.72.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '72.c1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.C', 'subgroup_fusion': None, 'weyl_group': '20736.dk'}
  • id: 242107554
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '81.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': '1296.A', 'coset_action_label': None, 'count': 81, 'diagramx': None, 'generators': [858339153959626816, 635342745413376000, 25996225, 621472249645026404, 112568396, 18552965, 18558000, 180583603200, 161504497475074223, 167165, 371693542943923216], 'label': '663552.hk.81.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '81.a1', 'old_label': '81.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107555
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '96.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '331776.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 991, -1, 6431], 'generators': [371693542943923200, 858339241119360000, 83467440, 735000173107200, 735000271262640, 1443759680730374, 5045, 6405076232755200, 20671803587635200, 735000546803619, 1506440871936000], 'label': '663552.hk.96.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.a1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.A', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107556
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '96.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '331776.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1831, -1, 6526], 'generators': [735000564700755, 735000173107200, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.96.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.b1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.B', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107557
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '144.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 2796, -1, 6829], 'generators': [83467440, 16, 5045, 98155440, 6405076232755200, 371693542943923200, 391593555, 858339241119360000, 204421261, 20671803587635200, 167174], 'label': '663552.hk.144.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '144.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '144.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107558
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '144.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1286, -1, 6657], 'generators': [83467440, 1506440871936000, 16, 5045, 6405076232755200, 371693542943923200, 1443759680730374, 858339241119360000, 735000173107200, 735000271262640, 20671803587635200], 'label': '663552.hk.144.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '144.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '144.b1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.B', 'subgroup_fusion': None, 'weyl_group': '20736.dk'}
  • id: 242107559
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 6, 'diagramx': [875, -1, 1166, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.12.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.i1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.I', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107560
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '144.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.C', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 5743, -1, 7165], 'generators': [83467440, 1506440871936000, 2789705318416, 5045, 6405076232755200, 371693542943923200, 1443759680730374, 858339241119360000, 735000173107200, 735000271262640, 20671803587635200], 'label': '663552.hk.144.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '144.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '144.c1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.C', 'subgroup_fusion': None, 'weyl_group': '20736.dk'}
  • id: 242107561
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '144.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.D', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 4308, -1, 7001], 'generators': [2789705318400, 1506440871936000, 6405076232755200, 5045, 83467440, 371693542943923200, 1443759680730374, 858339241119360000, 735000173107200, 735000271262640, 20671803587635200], 'label': '663552.hk.144.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '144.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '144.d1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.D', 'subgroup_fusion': None, 'weyl_group': '20736.dk'}
  • id: 242107562
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '288.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 2558, -1, 7474], 'generators': [98155440, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.288.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '288.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '288.a1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107563
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '288.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1286, -1, 7329], 'generators': [371693542943923200, 858339241119360000, 83467440, 735000173107200, 735000271262640, 1443759680730374, 5045, 6405076232755200, 20671803587635200, 1506440871936000], 'label': '663552.hk.288.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '288.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '288.b1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.B', 'subgroup_fusion': None, 'weyl_group': '20736.dk'}
  • id: 242107564
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '432.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1461, -1, 7639], 'generators': [83467440, 16, 5045, 98155440, 6405076232755200, 371693542943923200, 858339241119360000, 373696419, 20671803587635200, 167174], 'label': '663552.hk.432.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '432.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '432.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107565
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '432.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 3242, -1, 7842], 'generators': [83467440, 16, 5045, 98155440, 6405076232755200, 371693542943923200, 391593555, 858339241119360000, 20671803587635200, 167174], 'label': '663552.hk.432.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '432.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '432.b1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107566
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '576.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1152.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 985, -1, 7991], 'generators': [371693542943923200, 858339241119360000, 735000173107200, 735000271262656, 732478327838656, 6405076232755200, 180583603200, 20671803587635200, 1506440871936000], 'label': '663552.hk.576.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '576.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '576.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576.A', 'subgroup_fusion': None, 'weyl_group': '1152.157849'}
  • id: 242107567
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '864.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '864.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 2495, -1, 8263], 'generators': [83467440, 6405076232755200, 5045, 98155440, 371693542943923200, 858339241119360000, 373696419, 20671803587635200, 167174], 'label': '663552.hk.864.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '864.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '864.a1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '864.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107568
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '864.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20736.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '864.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1185, -1, 8114], 'generators': [83467440, 6405076232755200, 5045, 98155440, 371693542943923200, 391593555, 858339241119360000, 20671803587635200, 167174], 'label': '663552.hk.864.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '864.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '864.b1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '864.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107569
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '1152.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '576.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1781, -1, 8480], 'generators': [167174, 83467440, 98155440, 391593555, 5045, 16, 204421261, 231596], 'label': '663552.hk.1152.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1152.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1152.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.A', 'subgroup_fusion': None, 'weyl_group': '576.8654'}
  • id: 242107570
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '576.A', 'coset_action_label': None, 'count': 6, 'diagramx': [916, -1, 1180, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.12.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.j1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.J', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107571
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '1152.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1152.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 946, -1, 8386], 'generators': [371693542943923200, 858339241119360000, 735000173107200, 735000271262656, 732478327838656, 6405076232755200, 20671803587635200, 1506440871936000], 'label': '663552.hk.1152.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1152.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1152.b1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.B', 'subgroup_fusion': None, 'weyl_group': '1152.157849'}
  • id: 242107572
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '1152.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1152.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1152.C', 'coset_action_label': None, 'count': 2, 'diagramx': [-1, 2615, -1, 8576], 'generators': [2789705318400, 371693542943923200, 858339241119360000, 735000173107200, 735087449553856, 6405076232755200, 20671803587635200, 1506440871936000], 'label': '663552.hk.1152.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1152.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1152.c1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.C', 'subgroup_fusion': None, 'weyl_group': '1152.157849'}
  • id: 242107573
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '1296.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1296.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 790, -1, 8653], 'generators': [83467440, 16, 5045, 98155440, 6405076232755200, 371693542943923200, 858339241119360000, 20671803587635200, 167174], 'label': '663552.hk.1296.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1296.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1296.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1296.A', 'subgroup_fusion': None, 'weyl_group': '1296.3528'}
  • id: 242107574
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2304.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '576.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 2401, -1, 8895], 'generators': [167174, 83467440, 98155440, 391593555, 5045, 16, 204421261], 'label': '663552.hk.2304.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2304.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2304.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2304.A', 'subgroup_fusion': None, 'weyl_group': '576.8654'}
  • id: 242107575
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2304.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1152.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 3380, -1, 9007], 'generators': [371693542943923200, 858339241119360000, 735000173107200, 735000271262656, 6405076232755200, 20671803587635200, 1506440871936000], 'label': '663552.hk.2304.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2304.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2304.b1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2304.B', 'subgroup_fusion': None, 'weyl_group': '1152.157849'}
  • id: 242107576
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2304.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1152.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.C', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1567, -1, 8800], 'generators': [371693542943923200, 858339241119360000, 735000173107200, 732478327838656, 6405076232755200, 20671803587635200, 1506440871936000], 'label': '663552.hk.2304.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2304.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2304.c1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2304.C', 'subgroup_fusion': None, 'weyl_group': '1152.157849'}
  • id: 242107577
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2304.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1152.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.D', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 877, -1, 8721], 'generators': [2789705318400, 371693542943923200, 858339241119360000, 735000173107200, 6405076232755200, 20671803587635200, 1506440871936000], 'label': '663552.hk.2304.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2304.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2304.d1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2304.D', 'subgroup_fusion': None, 'weyl_group': '1152.157849'}
  • id: 242107578
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2592.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1296.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 790, -1, 9092], 'generators': [83467440, 6405076232755200, 5045, 98155440, 371693542943923200, 858339241119360000, 20671803587635200, 167174], 'label': '663552.hk.2592.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2592.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2592.a1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2592.A', 'subgroup_fusion': None, 'weyl_group': '1296.3528'}
  • id: 242107579
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4608.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '576.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 784, -1, 9151], 'generators': [167174, 83467440, 98155440, 391593555, 5045, 204421261], 'label': '663552.hk.4608.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4608.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4608.a1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4608.A', 'subgroup_fusion': None, 'weyl_group': '576.8654'}
  • id: 242107580
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '4608.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1152.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1292, -1, 9208], 'generators': [371693542943923200, 858339241119360000, 735000173107200, 6405076232755200, 20671803587635200, 1506440871936000], 'label': '663552.hk.4608.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4608.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4608.b1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4608.B', 'subgroup_fusion': None, 'weyl_group': '1152.157849'}
  • id: 242107581
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 6, 'diagramx': [3208, -1, 1948, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 1445154533544716, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.12.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.k1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.K', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107582
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6912.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '576.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 2263, -1, 9439], 'generators': [167174, 83467440, 98155440, 373696419, 5045, 16], 'label': '663552.hk.6912.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6912.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6912.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6912.A', 'subgroup_fusion': None, 'weyl_group': '576.8654'}
  • id: 242107583
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '6912.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '576.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6912.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1085, -1, 9305], 'generators': [167174, 83467440, 98155440, 391593555, 5045, 16], 'label': '663552.hk.6912.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6912.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6912.b1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6912.B', 'subgroup_fusion': None, 'weyl_group': '576.8654'}
  • id: 242107584
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '8192.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': '663552.a1', 'coset_action_label': None, 'count': 256, 'diagramx': None, 'generators': [614984870852352000, 25770746, 186590845, 1443759680563200], 'label': '663552.hk.8192.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.a1', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 242107585
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '13824.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '576.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '13824.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 853, -1, 9548], 'generators': [167174, 83467440, 98155440, 373696419, 5045], 'label': '663552.hk.13824.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '13824.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '13824.a1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13824.A', 'subgroup_fusion': None, 'weyl_group': '576.8654'}
  • id: 242107586
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '13824.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '576.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '13824.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1561, -1, 9628], 'generators': [167174, 83467440, 98155440, 391593555, 5045], 'label': '663552.hk.13824.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '13824.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '13824.b1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13824.B', 'subgroup_fusion': None, 'weyl_group': '576.8654'}
  • id: 242107587
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '20736.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20736.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1266, -1, 9757], 'generators': [167174, 83467440, 98155440, 5045, 16], 'label': '663552.hk.20736.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20736.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20736.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20736.A', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 242107588
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '20736.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '72.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20736.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 753, -1, 9698], 'generators': [371693542943923200, 98155456, 858339241119360000, 6405076232755200, 20671803587635200], 'label': '663552.hk.20736.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20736.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20736.b1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20736.B', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 242107589
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '41472.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 753, -1, 9815], 'generators': [167174, 83467440, 98155440, 5045], 'label': '663552.hk.41472.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '41472.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '41472.a1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41472.A', 'subgroup_fusion': None, 'weyl_group': '36.10'}
  • id: 242107590
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '41472.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '72.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1266, -1, 9874], 'generators': [371693542943923200, 858339241119360000, 6405076232755200, 20671803587635200], 'label': '663552.hk.41472.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '41472.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '41472.b1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41472.B', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 242107591
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '331776.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '331776.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 684, -1, 9929], 'generators': [98155456], 'label': '663552.hk.331776.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '331776.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '331776.a1.N', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '331776.A', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 242107592
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2246, -1, 1626, -1], 'generators': [735000271262656, 735000173107200, 5045, 732478327838656, 735087449553840, 371693542943923200, 6405076232755200, 858339241119360000, 2789803617939, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461], 'label': '663552.hk.12.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.l1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.L', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107593
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '663552.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '663552.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 684, -1, 9980], 'generators': [], 'label': '663552.hk.663552.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '663552.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '663552.a1.N', 'projective_image': '663552.hk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '663552.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 242107594
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1987, -1, 1539, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.m1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107595
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1557, -1, 1395, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.n1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107596
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '2.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.G', 'coset_action_label': None, 'count': 1, 'diagramx': [23, 1317, 22, 224], 'generators': [2789705318416, 735000564700755, 135541843232035818, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 858339241119360000, 83467440, 1506440871936000, 134453770979748221, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.2.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.g1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.G', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 242107597
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [98, -1, 906, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.o1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.O', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107598
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1687, -1, 1438, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 858340461615436816, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.p1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107599
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [213, -1, 944, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.q1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Q', 'subgroup_fusion': None, 'weyl_group': '13824.gj'}
  • id: 242107600
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2954, -1, 1863, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.r1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107601
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1472, -1, 1367, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 1445154533544716, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.s1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107602
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3163, -1, 1933, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 858339153941068800, 371693542943923200, 6405076232755200, 83467440, 859784127891010316, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.t1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107603
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2109, -1, 1580, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.u1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107604
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1298, -1, 1308, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.v1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107605
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 12, 'diagramx': [537, -1, 1053, -1], 'generators': [735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.w1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.W', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107606
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1809, -1, 1479, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '12.x1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107607
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '3.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.B', 'coset_action_label': None, 'count': 3, 'diagramx': [74, -1, 142, -1], 'generators': [2789705318416, 735000546803619, 735000173107200, 16, 5045, 1445154533544716, 135583776005026976, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.3.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.A', 'old_label': '3.a1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.A', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 242107608
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1854, -1, 1494, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 735000173338796, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.y1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107609
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 2, 'diagramx': [152, -1, 924, -1], 'generators': [98155440, 16, 5045, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 231596, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.12.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '12.z1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Z', 'subgroup_fusion': None, 'weyl_group': '41472.kl'}
  • id: 242107610
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1296.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2618, -1, 1751, -1], 'generators': [735000564700755, 98155440, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261], 'label': '663552.hk.12.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BA', 'old_label': '12.ba1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107611
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 12, 'diagramx': [2875, -1, 1836, -1], 'generators': [735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.bb1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BB', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 242107612
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2913, -1, 1849, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 204421261, 391593555], 'label': '663552.hk.12.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.bc1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107613
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.A', 'coset_action_label': None, 'count': 12, 'diagramx': [19, -1, 880, -1], 'generators': [735000564700755, 98155440, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 735000377528461], 'label': '663552.hk.12.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BD', 'old_label': '12.bd1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107614
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '432.B', 'coset_action_label': None, 'count': 12, 'diagramx': [57, -1, 892, -1], 'generators': [98155440, 16, 5045, 1445154533544716, 85005060940800, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 167174, 20671803587635200, 1443759884984461, 391593555], 'label': '663552.hk.12.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BE', 'old_label': '12.be1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107615
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2542, -1, 1725, -1], 'generators': [735000546803619, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.E', 'old_label': '12.bf1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107616
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2580, -1, 1738, -1], 'generators': [735000564700755, 735000173107200, 16, 5045, 1445154533544716, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 1506440871936000, 20671803587635200, 1443759680730374, 735000271262640], 'label': '663552.hk.12.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.bg1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242107617
    {'ambient': '663552.hk', 'aut_centralizer_order': None, 'aut_label': '12.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2501, -1, 1711, -1], 'generators': [2789705318416, 735000564700755, 735000173107200, 16, 5045, 371693542943923200, 6405076232755200, 180583603200, 858339241119360000, 83467440, 20671803587635200, 1443759680730374, 1443759884984461, 735000271262640], 'label': '663552.hk.12.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.bh1', 'projective_image': '331776.ce', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BH', 'subgroup_fusion': None, 'weyl_group': None}