Abstract group data - 1536.408640176

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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': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [3, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'aut_gens': [[85621839531960, 25462620613446, 1, 735925060135, 360345418241760, 795776023551774, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [356255300106744, 1225828563215784, 1, 360096412929841, 360059003594766, 486919748214, 3437542381410024, 4914052418407320, 1822337812123926, 359890668370854], [733295299054008, 712366112680134, 1, 735925060135, 360345418241760, 795776023551774, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [355774647902431, 1779981751060848, 1, 735925060135, 795776023551774, 360345418241760, 2208820097161830, 5560883986259190, 795533260052208, 359890668370854], [85908192015966, 25854839668200, 1, 735925060135, 360345418241760, 795776023551774, 2208820097161830, 2587635382200510, 359890668370854, 795533260052208], [4738941069150, 84544331978526, 1, 735925060135, 795776023551774, 360345418241760, 4088283551881560, 5265536606238624, 795533260052208, 359890668370854], [3353416120032504, 3293313370192494, 1, 1821696294037008, 795171915151926, 359747497248528, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [733295299054009, 1800281897792928, 1, 735925060135, 360345418241760, 795776023551774, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [85621839531961, 25462620613446, 1, 735925060134, 360345418241760, 795776023551774, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [733295299054008, 712366112680134, 1, 735925060135, 360345418241760, 795776023551774, 4088283551881560, 3437542381410024, 359890668370854, 795533260052208], [1663625494874214, 1225554019493088, 1, 360096412929840, 360345418241760, 1822051397507040, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [85908192015966, 25736659943814, 1, 735925060135, 360345418241760, 795776023551774, 4088283551881560, 2587635382200510, 359890668370854, 795533260052208], [733295299054009, 1800281897792928, 1, 735925060135, 486919748214, 293647592166, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [733295299054008, 1800281897792928, 1, 735925060135, 360345418241760, 795776023551774, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208]], 'aut_group': '12288.bna', 'aut_hash': 6776030803717941962, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 12288, 'aut_permdeg': 96, 'aut_perms': [879423094424409651247501072122390917436166555006312807928894510051433530439661718307459365463471046564681074909115795011946718374049538201087717990010, 1343510877576289627029700377852357320548263701174675151528208499777471833049364065786852000293797649388940800710208596261569509868166762488486685988, 805416014899560427013589628112966702637856201139410595732190329248818069061123640364390605997775480788843828712267799029320326710407109339891480769365, 198991120309970434403873105343987866315973749647838383729939981575046276741896567593054232473749405350535378751642200762209952345209084731911119788074, 404203572513098243576506198297198264612555755213546944120727167797614945211611705343028834193023616059137787073411517933426608731559878561541084818859, 236661314057118615539281032550450238074352665059361847489741676310858174114873878263407825953243358455076098252821110365682961299580910006353494007350, 236368766458092911184358220624272758285433859521646548599731971156103321775555213964407162664391015740018606664859708679383582368455938103545468915709, 7584992106643374153321893480299388180004859395596815907330782433179263374992529545420342668704241340793416740042438591247676436951849946772629559193, 1343510877585499611153120626133535674273645403467630347381165949528123039611668831401853643822879012886290888890019618723426038496067475365518431022, 675040329728777514421616561154115592906417920570447856928728116007043732593357201777403273788390592420051874326010153096416084653769547991106803925262, 2731936470949442158270011808985803724815960385513163809256975065014316821520519832002206205870087446176575968415824273570059930529216692258945040028, 742537170630310072737776673710328609980943740331187244578527665402037648248054058126126189519349558039607231341152566986716759096676512282852555165059, 404285553995224119881246677615709921350290458361805518648507870748768356639035329295747142279162997768971054037872623010929854714548471510019977455812], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 3, 1, 2], [2, 4, 2, 1], [2, 6, 2, 2], [2, 12, 1, 4], [2, 12, 2, 1], [2, 24, 4, 1], [3, 128, 1, 1], [4, 12, 1, 2], [4, 12, 2, 1], [4, 24, 1, 2], [4, 24, 2, 1], [4, 24, 4, 1], [4, 48, 4, 2], [6, 128, 1, 1], [6, 128, 2, 1], [8, 48, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^7.\\GL(2,\\mathbb{Z}/4)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': None, 'autcentquo_hash': 1527740244680822011, 'autcentquo_nilpotent': False, 'autcentquo_order': 3072, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_4^2:A_4.D_4.C_2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 3, 2], [2, 4, 2], [2, 6, 4], [2, 12, 6], [2, 24, 4], [3, 128, 1], [4, 12, 4], [4, 24, 8], [4, 48, 8], [6, 128, 3], [8, 48, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '768.1090134', 'commutator_count': 1, 'commutator_label': '192.1023', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 408640176, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['768.1090134', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 3, 1, 2], [2, 4, 1, 2], [2, 6, 1, 4], [2, 12, 1, 6], [2, 24, 1, 4], [3, 128, 1, 1], [4, 12, 1, 4], [4, 24, 1, 8], [4, 48, 1, 8], [6, 128, 1, 3], [8, 48, 1, 4]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 70560, 'exponent': 24, 'exponents_of_order': [9, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 4]], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '384.20163', 'hash': 408640176, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [2, 3, 1, 2, 2, 2, 2, 2, 2, 2], 'inner_gens': [[85621839531960, 83903140502304, 1, 735925060135, 1821708766832454, 795776023551774, 3867165506497374, 1558054135131894, 1822337812123926, 795533260052208], [20960776773048, 25462620613446, 1, 735925060135, 795776023551774, 1821708766832454, 3867165506497374, 1179562545343134, 795533260052208, 1822337812123926], [85621839531960, 25462620613446, 1, 735925060135, 360345418241760, 795776023551774, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [85621839531960, 25462620613446, 1, 735925060135, 360345418241760, 795776023551774, 4088283551881560, 3437542381410024, 359890668370854, 795533260052208], [733350878979414, 1800412629863214, 1, 735925060135, 360345418241760, 795776023551774, 3058889034877584, 4466613129942960, 359890668370854, 795533260052208], [85621839531960, 441340427987574, 1, 735925060135, 360345418241760, 795776023551774, 2208820097161830, 3437542381410024, 359890668370854, 795533260052208], [1663625494874214, 1603516521199326, 1, 1821696294037009, 1821864384688488, 1822051397507040, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [85621839531960, 3844586175660846, 1, 795340005803407, 795171915151926, 293647592166, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [733295299054008, 1800281897792928, 1, 735925060135, 360345418241760, 795776023551774, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [85621839531960, 441751426353360, 1, 735925060135, 360345418241760, 795776023551774, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208]], 'inner_hash': 1090134, 'inner_nilpotent': False, 'inner_order': 768, 'inner_split': None, 'inner_tex': 'C_2^5:S_4', 'inner_used': [1, 2, 4, 5, 7], 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 12, 'irrep_stats': [[1, 8], [2, 4], [3, 24], [6, 4], [12, 8]], 'label': '1536.408640176', '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': True, 'name': 'C2^6:S4', 'ngens': 10, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 26, 'number_characteristic_subgroups': 21, 'number_conjugacy_classes': 48, 'number_divisions': 48, 'number_normal_subgroups': 43, 'number_subgroup_autclasses': 1314, 'number_subgroup_classes': 3093, 'number_subgroups': 32432, 'old_label': None, 'order': 1536, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 207], [3, 128], [4, 624], [6, 384], [8, 192]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [1821696294037008, 0, 0, 0], 'outer_gens': [[355774647902431, 1779981751060848, 1, 735925060135, 795776023551774, 360345418241760, 2208820097161830, 5560883986259190, 795533260052208, 359890668370854], [3353416120032504, 3293313370192494, 1, 1821696294037008, 795171915151926, 359747497248528, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [85621839531960, 25462620613446, 1, 735925060135, 486919748214, 293647592166, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208], [733295299054009, 1800281897792928, 1, 735925060135, 360345418241760, 795776023551774, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 8, 'outer_perms': [3084, 5455, 40193, 13050], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': 7, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 4], [3, 24], [6, 4], [12, 8]], 'representations': {'PC': {'code': '845497391270338918272535845976016216313920758957627677955869589701620141997917125999094724172777600', 'gens': [1, 2, 4, 5, 6, 7, 9], 'pres': [10, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 201, 51, 242, 2403, 1213, 503, 375, 925, 77286, 47056, 12206, 5076, 1596, 206, 61447, 30737, 19227, 119888, 22698, 6508, 4358, 2218, 268, 19209, 48019, 4829]}, 'Perm': {'d': 18, 'gens': [85621839531960, 25462620613446, 1, 735925060135, 360345418241760, 795776023551774, 1179562545343134, 1558054135131894, 359890668370854, 795533260052208]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^6:S_4', 'transitive_degree': 24, '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: 108862421
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 408640176, 'group_order': 1536, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 108862432
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 408640176, 'group_order': 1536, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 1, 'size': 1}
  • id: 108862443
    {'aut_label': '2B', 'centralizer': '3.a1', 'counter': 3, 'group_counter': 408640176, 'group_order': 1536, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 359890668370855, 'size': 3}
  • id: 108862454
    {'aut_label': '2C', 'centralizer': '3.a1', 'counter': 4, 'group_counter': 408640176, 'group_order': 1536, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 1822337812123926, 'size': 3}
  • id: 108862464
    {'aut_label': '2D', 'centralizer': '4.d1', 'counter': 5, 'group_counter': 408640176, 'group_order': 1536, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 735925060134, 'size': 4}
  • id: 108862465
    {'aut_label': '2D', 'centralizer': '4.d1', 'counter': 6, 'group_counter': 408640176, 'group_order': 1536, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 735925060135, 'size': 4}
  • id: 108862466
    {'aut_label': '2F', 'centralizer': '6.f1', 'counter': 7, 'group_counter': 408640176, 'group_order': 1536, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 50346753846, 'size': 6}
  • id: 108862467
    {'aut_label': '2F', 'centralizer': '6.f1', 'counter': 8, 'group_counter': 408640176, 'group_order': 1536, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 50346753847, 'size': 6}
  • id: 108862468
    {'aut_label': '2H', 'centralizer': '6.g1', 'counter': 9, 'group_counter': 408640176, 'group_order': 1536, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 359903140794048, 'size': 6}
  • id: 108862422
    {'aut_label': '2H', 'centralizer': '6.g1', 'counter': 10, 'group_counter': 408640176, 'group_order': 1536, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 359903140794049, 'size': 6}
  • id: 108862423
    {'aut_label': '2J', 'centralizer': '12.l1', 'counter': 11, 'group_counter': 408640176, 'group_order': 1536, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 293647592167, 'size': 12}
  • id: 108862424
    {'aut_label': '2K', 'centralizer': '12.r1', 'counter': 12, 'group_counter': 408640176, 'group_order': 1536, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 1179562545343135, 'size': 12}
  • id: 108862425
    {'aut_label': '2L', 'centralizer': '12.q1', 'counter': 13, 'group_counter': 408640176, 'group_order': 1536, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 1179581701804200, 'size': 12}
  • id: 108862426
    {'aut_label': '2L', 'centralizer': '12.q1', 'counter': 14, 'group_counter': 408640176, 'group_order': 1536, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 1179581701804201, 'size': 12}
  • id: 108862427
    {'aut_label': '2N', 'centralizer': '12.r1', 'counter': 15, 'group_counter': 408640176, 'group_order': 1536, 'label': '2N', 'order': 2, 'powers': [1, 15], 'representative': 2587635382200510, 'size': 12}
  • id: 108862428
    {'aut_label': '2O', 'centralizer': '12.l1', 'counter': 16, 'group_counter': 408640176, 'group_order': 1536, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 359747497248528, 'size': 12}
  • id: 108862429
    {'aut_label': '2P', 'centralizer': '24.g1', 'counter': 17, 'group_counter': 408640176, 'group_order': 1536, 'label': '2P', 'order': 2, 'powers': [1, 17], 'representative': 4103648207304, 'size': 24}
  • id: 108862430
    {'aut_label': '2P', 'centralizer': '24.g1', 'counter': 18, 'group_counter': 408640176, 'group_order': 1536, 'label': '2Q', 'order': 2, 'powers': [1, 18], 'representative': 4103648207305, 'size': 24}
  • id: 108862431
    {'aut_label': '2P', 'centralizer': '24.g1', 'counter': 19, 'group_counter': 408640176, 'group_order': 1536, 'label': '2R', 'order': 2, 'powers': [1, 19], 'representative': 4290457611624, 'size': 24}
  • id: 108862433
    {'aut_label': '2P', 'centralizer': '24.g1', 'counter': 20, 'group_counter': 408640176, 'group_order': 1536, 'label': '2S', 'order': 2, 'powers': [1, 20], 'representative': 4290457611625, 'size': 24}
  • id: 108862434
    {'aut_label': '3A', 'centralizer': '128.a1', 'counter': 21, 'group_counter': 408640176, 'group_order': 1536, 'label': '3A', 'order': 3, 'powers': [21, 1], 'representative': 84544331978526, 'size': 128}
  • id: 108862435
    {'aut_label': '4A', 'centralizer': '12.s1', 'counter': 22, 'group_counter': 408640176, 'group_order': 1536, 'label': '4A', 'order': 4, 'powers': [4, 22], 'representative': 1179936722089830, 'size': 12}
  • id: 108862436
    {'aut_label': '4A', 'centralizer': '12.s1', 'counter': 23, 'group_counter': 408640176, 'group_order': 1536, 'label': '4B', 'order': 4, 'powers': [4, 23], 'representative': 1179936722089831, 'size': 12}
  • id: 108862437
    {'aut_label': '4C', 'centralizer': '12.t1', 'counter': 24, 'group_counter': 408640176, 'group_order': 1536, 'label': '4C', 'order': 4, 'powers': [4, 24], 'representative': 1179942941898385, 'size': 12}
  • id: 108862438
    {'aut_label': '4D', 'centralizer': '12.t1', 'counter': 25, 'group_counter': 408640176, 'group_order': 1536, 'label': '4D', 'order': 4, 'powers': [4, 25], 'representative': 1558502850424320, 'size': 12}
  • id: 108862439
    {'aut_label': '4E', 'centralizer': '24.f1', 'counter': 26, 'group_counter': 408640176, 'group_order': 1536, 'label': '4E', 'order': 4, 'powers': [4, 26], 'representative': 381193590610368, 'size': 24}
  • id: 108862440
    {'aut_label': '4E', 'centralizer': '24.f1', 'counter': 27, 'group_counter': 408640176, 'group_order': 1536, 'label': '4F', 'order': 4, 'powers': [4, 27], 'representative': 381193590610369, 'size': 24}
  • id: 108862441
    {'aut_label': '4E', 'centralizer': '24.f1', 'counter': 28, 'group_counter': 408640176, 'group_order': 1536, 'label': '4G', 'order': 4, 'powers': [4, 28], 'representative': 381548610256560, 'size': 24}
  • id: 108862442
    {'aut_label': '4E', 'centralizer': '24.f1', 'counter': 29, 'group_counter': 408640176, 'group_order': 1536, 'label': '4H', 'order': 4, 'powers': [4, 29], 'representative': 381548610256561, 'size': 24}
  • id: 108862444
    {'aut_label': '4I', 'centralizer': '24.bm1', 'counter': 30, 'group_counter': 408640176, 'group_order': 1536, 'label': '4I', 'order': 4, 'powers': [4, 30], 'representative': 1179675107755560, 'size': 24}
  • id: 108862445
    {'aut_label': '4J', 'centralizer': '24.bm1', 'counter': 31, 'group_counter': 408640176, 'group_order': 1536, 'label': '4J', 'order': 4, 'powers': [4, 31], 'representative': 1179675107755561, 'size': 24}
  • id: 108862446
    {'aut_label': '4K', 'centralizer': '24.bk1', 'counter': 32, 'group_counter': 408640176, 'group_order': 1536, 'label': '4K', 'order': 4, 'powers': [4, 32], 'representative': 1179681327544014, 'size': 24}
  • id: 108862447
    {'aut_label': '4K', 'centralizer': '24.bk1', 'counter': 33, 'group_counter': 408640176, 'group_order': 1536, 'label': '4L', 'order': 4, 'powers': [4, 33], 'representative': 1179681327544015, 'size': 24}
  • id: 108862448
    {'aut_label': '4M', 'centralizer': '48.bj1', 'counter': 34, 'group_counter': 408640176, 'group_order': 1536, 'label': '4M', 'order': 4, 'powers': [15, 34], 'representative': 3982201188187368, 'size': 48}
  • id: 108862449
    {'aut_label': '4N', 'centralizer': '48.l1', 'counter': 35, 'group_counter': 408640176, 'group_order': 1536, 'label': '4N', 'order': 4, 'powers': [16, 35], 'representative': 3353428570803150, 'size': 48}
  • id: 108862450
    {'aut_label': '4M', 'centralizer': '48.bj1', 'counter': 36, 'group_counter': 408640176, 'group_order': 1536, 'label': '4O', 'order': 4, 'powers': [15, 36], 'representative': 4850374570882561, 'size': 48}
  • id: 108862451
    {'aut_label': '4N', 'centralizer': '48.l1', 'counter': 37, 'group_counter': 408640176, 'group_order': 1536, 'label': '4P', 'order': 4, 'powers': [16, 37], 'representative': 355800089328529, 'size': 48}
  • id: 108862452
    {'aut_label': '4N', 'centralizer': '48.l1', 'counter': 38, 'group_counter': 408640176, 'group_order': 1536, 'label': '4Q', 'order': 4, 'powers': [16, 38], 'representative': 1801140885423024, 'size': 48}
  • id: 108862453
    {'aut_label': '4M', 'centralizer': '48.bj1', 'counter': 39, 'group_counter': 408640176, 'group_order': 1536, 'label': '4R', 'order': 4, 'powers': [15, 39], 'representative': 5286079183568526, 'size': 48}
  • id: 108862455
    {'aut_label': '4N', 'centralizer': '48.l1', 'counter': 40, 'group_counter': 408640176, 'group_order': 1536, 'label': '4S', 'order': 4, 'powers': [16, 40], 'representative': 1664173824295015, 'size': 48}
  • id: 108862456
    {'aut_label': '4M', 'centralizer': '48.bj1', 'counter': 41, 'group_counter': 408640176, 'group_order': 1536, 'label': '4T', 'order': 4, 'powers': [15, 41], 'representative': 3824124137215447, 'size': 48}
  • id: 108862457
    {'aut_label': '6A', 'centralizer': '128.a1', 'counter': 42, 'group_counter': 408640176, 'group_order': 1536, 'label': '6A', 'order': 6, 'powers': [21, 2], 'representative': 25736659943815, 'size': 128}
  • id: 108862458
    {'aut_label': '6B', 'centralizer': '128.a1', 'counter': 43, 'group_counter': 408640176, 'group_order': 1536, 'label': '6B', 'order': 6, 'powers': [21, 5], 'representative': 711985915809534, 'size': 128}
  • id: 108862459
    {'aut_label': '6B', 'centralizer': '128.a1', 'counter': 44, 'group_counter': 408640176, 'group_order': 1536, 'label': '6C', 'order': 6, 'powers': [21, 6], 'representative': 1780155987526345, 'size': 128}
  • id: 108862460
    {'aut_label': '8A', 'centralizer': '48.bn1', 'counter': 45, 'group_counter': 408640176, 'group_order': 1536, 'label': '8A', 'order': 8, 'powers': [25, 45], 'representative': 1285776162364687, 'size': 48}
  • id: 108862461
    {'aut_label': '8A', 'centralizer': '48.bn1', 'counter': 46, 'group_counter': 408640176, 'group_order': 1536, 'label': '8B', 'order': 8, 'powers': [25, 46], 'representative': 5285680796037727, 'size': 48}
  • id: 108862462
    {'aut_label': '8A', 'centralizer': '48.bn1', 'counter': 47, 'group_counter': 408640176, 'group_order': 1536, 'label': '8C', 'order': 8, 'powers': [25, 47], 'representative': 4850181620671134, 'size': 48}
  • id: 108862463
    {'aut_label': '8A', 'centralizer': '48.bn1', 'counter': 48, 'group_counter': 408640176, 'group_order': 1536, 'label': '8D', 'order': 8, 'powers': [25, 48], 'representative': 3823850192023494, 'size': 48}
• gps_qchar •

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

  
  
  • id: 4047295
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4047306
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 4047317
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 4047328
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4047338
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4047339
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 4047340
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 4047341
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4047342
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047296
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.2b', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, -1, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047297
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.2c', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, -1, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047298
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 0, 0, 0, 0, -1, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047299
    {'cdim': 3, 'counter': 13, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3a', 'multiplicity': 1, 'nt': [4, 5], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 3, 3, 1, 1, 1, 1, 0, 3, 3, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 0, 0, 0, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4047300
    {'cdim': 3, 'counter': 14, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3b', 'multiplicity': 1, 'nt': [4, 5], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, -1, -1, -1, -1, 3, -1, 3, -1, -1, -1, 1, 1, 1, 1, 0, -1, -1, 3, 3, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4047301
    {'cdim': 3, 'counter': 15, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3c', 'multiplicity': 1, 'nt': [4, 5], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, 3, -1, 3, -1, -1, 1, 1, 1, 1, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 0, 0, 0, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4047302
    {'cdim': 3, 'counter': 16, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3d', 'multiplicity': 1, 'nt': [6, 8], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 3, 3, -1, -1, -1, -1, 0, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 0, 0, 0, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4047303
    {'cdim': 3, 'counter': 17, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3e', 'multiplicity': 1, 'nt': [6, 8], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, -1, -1, -1, -1, 3, -1, 3, -1, -1, -1, -1, -1, -1, -1, 0, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4047304
    {'cdim': 3, 'counter': 18, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3f', 'multiplicity': 1, 'nt': [6, 8], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, 3, -1, 3, -1, -1, -1, -1, -1, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 0, 0, 0, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4047305
    {'cdim': 3, 'counter': 19, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3g', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, -3, 3, -3, 3, -3, 3, -1, 3, 1, -3, -1, 1, -1, 1, 1, -1, 0, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 1, -1, -1, 1], 'schur_index': 1}
  • id: 4047307
    {'cdim': 3, 'counter': 20, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3h', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, -3, 3, -3, 3, -3, 3, -1, 3, 1, -3, -1, 1, 1, -1, -1, 1, 0, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, -1, 1, 1, -1], 'schur_index': 1}
  • id: 4047308
    {'cdim': 3, 'counter': 21, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3i', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, -3, 3, 1, -1, 1, -1, -1, -1, 1, 1, 3, -3, -1, 1, 1, -1, 0, 3, -3, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 1, -1, -1, 1], 'schur_index': 1}
  • id: 4047309
    {'cdim': 3, 'counter': 22, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3j', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, -3, 3, 1, -1, 1, -1, -1, -1, 1, 1, 3, -3, 1, -1, -1, 1, 0, 3, -3, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, -1, 1, 1, -1], 'schur_index': 1}
  • id: 4047310
    {'cdim': 3, 'counter': 23, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3k', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, -3, 3, 1, -1, 1, -1, 3, -1, -3, 1, -1, 1, -1, 1, 1, -1, 0, -1, 1, 3, -3, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 0, 0, 0, -1, 1, 1, -1], 'schur_index': 1}
  • id: 4047311
    {'cdim': 3, 'counter': 24, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3l', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, -3, 3, 1, -1, 1, -1, 3, -1, -3, 1, -1, 1, 1, -1, -1, 1, 0, -1, 1, 3, -3, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 0, 0, 0, 1, -1, -1, 1], 'schur_index': 1}
  • id: 4047312
    {'cdim': 3, 'counter': 25, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3m', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, 3, -3, -1, 1, -1, 1, -3, -1, 3, 1, -1, 1, -1, 1, -1, 1, 0, 1, -1, 3, -3, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 0, 0, 0, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4047313
    {'cdim': 3, 'counter': 26, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3n', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, 3, -3, -1, 1, -1, 1, -3, -1, 3, 1, -1, 1, 1, -1, 1, -1, 0, 1, -1, 3, -3, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 0, 0, 0, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4047314
    {'cdim': 3, 'counter': 27, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3o', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, 3, -3, -1, 1, -1, 1, 1, -1, -1, 1, 3, -3, -1, 1, -1, 1, 0, -3, 3, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 0, 0, 0, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4047315
    {'cdim': 3, 'counter': 28, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3p', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, 3, -3, -1, 1, -1, 1, 1, -1, -1, 1, 3, -3, 1, -1, 1, -1, 0, -3, 3, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 0, 0, 0, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4047316
    {'cdim': 3, 'counter': 29, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3q', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, 3, -3, 3, -3, 3, -3, 1, 3, -1, -3, -1, 1, -1, 1, -1, 1, 0, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 0, 0, 0, -1, -1, 1, 1], 'schur_index': 1}
  • id: 4047318
    {'cdim': 3, 'counter': 30, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3r', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, -3, -3, 3, 3, -3, 3, -3, 3, -3, 1, 3, -1, -3, -1, 1, 1, -1, 1, -1, 0, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 0, 0, 0, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4047319
    {'cdim': 3, 'counter': 31, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3s', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -3, -3, -3, -3, -3, -3, 1, 3, 1, 3, -1, -1, -1, -1, 1, 1, 0, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, -1, 1, -1, 1], 'schur_index': 1}
  • id: 4047320
    {'cdim': 3, 'counter': 32, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3t', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -3, -3, -3, -3, -3, -3, 1, 3, 1, 3, -1, -1, 1, 1, -1, -1, 0, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 1, -1, 1, -1], 'schur_index': 1}
  • id: 4047321
    {'cdim': 3, 'counter': 33, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3u', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -3, -3, 1, 1, 1, 1, -3, -1, -3, -1, -1, -1, -1, -1, 1, 1, 0, 1, 1, 3, 3, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 0, 0, 0, 1, -1, 1, -1], 'schur_index': 1}
  • id: 4047322
    {'cdim': 3, 'counter': 34, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3v', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -3, -3, 1, 1, 1, 1, -3, -1, -3, -1, -1, -1, 1, 1, -1, -1, 0, 1, 1, 3, 3, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 0, 0, 0, -1, 1, -1, 1], 'schur_index': 1}
  • id: 4047323
    {'cdim': 3, 'counter': 35, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3w', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -3, -3, 1, 1, 1, 1, 1, -1, 1, -1, 3, 3, -1, -1, 1, 1, 0, -3, -3, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, -1, 1, -1, 1], 'schur_index': 1}
  • id: 4047324
    {'cdim': 3, 'counter': 36, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.3x', 'multiplicity': 1, 'nt': [6, 11], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -3, -3, 1, 1, 1, 1, 1, -1, 1, -1, 3, 3, 1, 1, -1, -1, 0, -3, -3, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 1, -1, 1, -1], 'schur_index': 1}
  • id: 4047325
    {'cdim': 6, 'counter': 37, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.6a', 'multiplicity': 1, 'nt': [8, 34], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047326
    {'cdim': 6, 'counter': 38, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.6b', 'multiplicity': 1, 'nt': [12, 100], 'qdim': 6, 'qvalues': [6, -6, -6, 6, -6, 6, 2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047327
    {'cdim': 6, 'counter': 39, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.6c', 'multiplicity': 1, 'nt': [12, 100], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 6, -6, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047329
    {'cdim': 6, 'counter': 40, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.6d', 'multiplicity': 1, 'nt': [12, 100], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -6, -6, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047330
    {'cdim': 12, 'counter': 41, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.12a', 'multiplicity': 1, 'nt': [16, 1063], 'qdim': 12, 'qvalues': [12, 12, -4, -4, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047331
    {'cdim': 12, 'counter': 42, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.12b', 'multiplicity': 1, 'nt': [24, 1652], 'qdim': 12, 'qvalues': [12, 12, -4, -4, 0, 0, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047332
    {'cdim': 12, 'counter': 43, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.12c', 'multiplicity': 1, 'nt': [24, 1652], 'qdim': 12, 'qvalues': [12, 12, -4, -4, 0, 0, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047333
    {'cdim': 12, 'counter': 44, 'faithful': False, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.12d', 'multiplicity': 1, 'nt': [24, 1657], 'qdim': 12, 'qvalues': [12, 12, -4, -4, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047334
    {'cdim': 12, 'counter': 45, 'faithful': True, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.12e', 'multiplicity': 1, 'nt': [24, 3330], 'qdim': 12, 'qvalues': [12, -12, 4, -4, 0, 0, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047335
    {'cdim': 12, 'counter': 46, 'faithful': True, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.12f', 'multiplicity': 1, 'nt': [24, 3330], 'qdim': 12, 'qvalues': [12, -12, 4, -4, 0, 0, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047336
    {'cdim': 12, 'counter': 47, 'faithful': True, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.12g', 'multiplicity': 1, 'nt': [24, 3330], 'qdim': 12, 'qvalues': [12, -12, 4, -4, 0, 0, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4047337
    {'cdim': 12, 'counter': 48, 'faithful': True, 'group': '1536.408640176', 'group_order': 1536, 'image': None, 'label': '1536.408640176.12h', 'multiplicity': 1, 'nt': [24, 3330], 'qdim': 12, 'qvalues': [12, -12, 4, -4, 0, 0, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 5770118
    {'center': '1.a1', 'center_index': 1, 'center_order': 1536, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 1536, 'label': '1536.408640176.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5770129
    {'center': '1.a1', 'center_index': 1, 'center_order': 1536, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 768, 'label': '1536.408640176.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5770140
    {'center': '1.a1', 'center_index': 1, 'center_order': 1536, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 768, 'label': '1536.408640176.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5770151
    {'center': '1.a1', 'center_index': 1, 'center_order': 1536, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 768, 'label': '1536.408640176.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5770161
    {'center': '1.a1', 'center_index': 1, 'center_order': 1536, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 768, 'label': '1536.408640176.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5770162
    {'center': '1.a1', 'center_index': 1, 'center_order': 1536, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 768, 'label': '1536.408640176.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5770163
    {'center': '1.a1', 'center_index': 1, 'center_order': 1536, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 768, 'label': '1536.408640176.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5770164
    {'center': '1.a1', 'center_index': 1, 'center_order': 1536, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 768, 'label': '1536.408640176.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5770165
    {'center': '6.a1', 'center_index': 6, 'center_order': 256, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 256, 'label': '1536.408640176.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770119
    {'center': '6.a1', 'center_index': 6, 'center_order': 256, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 128, 'label': '1536.408640176.2b', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770120
    {'center': '6.a1', 'center_index': 6, 'center_order': 256, 'counter': 11, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 128, 'label': '1536.408640176.2c', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770121
    {'center': '6.a1', 'center_index': 6, 'center_order': 256, 'counter': 12, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 128, 'label': '1536.408640176.2d', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770122
    {'center': '24.b1', 'center_index': 24, 'center_order': 64, 'counter': 13, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.b1', 'kernel_order': 64, 'label': '1536.408640176.3a', 'nt': [4, 5], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5770123
    {'center': '24.c1', 'center_index': 24, 'center_order': 64, 'counter': 14, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.c1', 'kernel_order': 64, 'label': '1536.408640176.3b', 'nt': [4, 5], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5770124
    {'center': '24.a1', 'center_index': 24, 'center_order': 64, 'counter': 15, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1', 'kernel_order': 64, 'label': '1536.408640176.3c', 'nt': [4, 5], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5770125
    {'center': '24.b1', 'center_index': 24, 'center_order': 64, 'counter': 16, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.b1', 'kernel_order': 64, 'label': '1536.408640176.3d', 'nt': [6, 8], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5770126
    {'center': '24.c1', 'center_index': 24, 'center_order': 64, 'counter': 17, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.c1', 'kernel_order': 64, 'label': '1536.408640176.3e', 'nt': [6, 8], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5770127
    {'center': '24.a1', 'center_index': 24, 'center_order': 64, 'counter': 18, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1', 'kernel_order': 64, 'label': '1536.408640176.3f', 'nt': [6, 8], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5770128
    {'center': '24.a1', 'center_index': 24, 'center_order': 64, 'counter': 19, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.d1', 'kernel_order': 32, 'label': '1536.408640176.3g', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[1, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5770130
    {'center': '24.a1', 'center_index': 24, 'center_order': 64, 'counter': 20, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.d1', 'kernel_order': 32, 'label': '1536.408640176.3h', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[3, 0]], [[1, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5770131
    {'center': '24.b1', 'center_index': 24, 'center_order': 64, 'counter': 21, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.f1', 'kernel_order': 32, 'label': '1536.408640176.3i', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5770132
    {'center': '24.b1', 'center_index': 24, 'center_order': 64, 'counter': 22, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.f1', 'kernel_order': 32, 'label': '1536.408640176.3j', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5770133
    {'center': '24.c1', 'center_index': 24, 'center_order': 64, 'counter': 23, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.e1', 'kernel_order': 32, 'label': '1536.408640176.3k', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5770134
    {'center': '24.c1', 'center_index': 24, 'center_order': 64, 'counter': 24, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.e1', 'kernel_order': 32, 'label': '1536.408640176.3l', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5770135
    {'center': '24.c1', 'center_index': 24, 'center_order': 64, 'counter': 25, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.e1', 'kernel_order': 32, 'label': '1536.408640176.3m', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-3, 0]], [[-1, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5770136
    {'center': '24.c1', 'center_index': 24, 'center_order': 64, 'counter': 26, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.e1', 'kernel_order': 32, 'label': '1536.408640176.3n', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-3, 0]], [[-1, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5770137
    {'center': '24.b1', 'center_index': 24, 'center_order': 64, 'counter': 27, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.f1', 'kernel_order': 32, 'label': '1536.408640176.3o', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5770138
    {'center': '24.b1', 'center_index': 24, 'center_order': 64, 'counter': 28, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.f1', 'kernel_order': 32, 'label': '1536.408640176.3p', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5770139
    {'center': '24.a1', 'center_index': 24, 'center_order': 64, 'counter': 29, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.d1', 'kernel_order': 32, 'label': '1536.408640176.3q', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[3, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5770141
    {'center': '24.a1', 'center_index': 24, 'center_order': 64, 'counter': 30, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.d1', 'kernel_order': 32, 'label': '1536.408640176.3r', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[3, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5770142
    {'center': '24.a1', 'center_index': 24, 'center_order': 64, 'counter': 31, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1', 'kernel_order': 32, 'label': '1536.408640176.3s', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[3, 0]], [[1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5770143
    {'center': '24.a1', 'center_index': 24, 'center_order': 64, 'counter': 32, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1', 'kernel_order': 32, 'label': '1536.408640176.3t', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[3, 0]], [[1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5770144
    {'center': '24.c1', 'center_index': 24, 'center_order': 64, 'counter': 33, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.c1', 'kernel_order': 32, 'label': '1536.408640176.3u', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5770145
    {'center': '24.c1', 'center_index': 24, 'center_order': 64, 'counter': 34, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.c1', 'kernel_order': 32, 'label': '1536.408640176.3v', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5770146
    {'center': '24.b1', 'center_index': 24, 'center_order': 64, 'counter': 35, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.b1', 'kernel_order': 32, 'label': '1536.408640176.3w', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5770147
    {'center': '24.b1', 'center_index': 24, 'center_order': 64, 'counter': 36, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '48.48', 'image_order': 48, 'indicator': 1, 'kernel': '48.b1', 'kernel_order': 32, 'label': '1536.408640176.3x', 'nt': [6, 11], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5770148
    {'center': '96.a1', 'center_index': 96, 'center_order': 16, 'counter': 37, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '96.227', 'image_order': 96, 'indicator': 1, 'kernel': '96.a1', 'kernel_order': 16, 'label': '1536.408640176.6a', 'nt': [8, 34], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770149
    {'center': '96.a1', 'center_index': 96, 'center_order': 16, 'counter': 38, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '192.1538', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1', 'kernel_order': 8, 'label': '1536.408640176.6b', 'nt': [12, 100], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770150
    {'center': '96.a1', 'center_index': 96, 'center_order': 16, 'counter': 39, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '192.1538', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1', 'kernel_order': 8, 'label': '1536.408640176.6c', 'nt': [12, 100], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770152
    {'center': '96.a1', 'center_index': 96, 'center_order': 16, 'counter': 40, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '192.1538', 'image_order': 192, 'indicator': 1, 'kernel': '192.a1', 'kernel_order': 8, 'label': '1536.408640176.6d', 'nt': [12, 100], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770153
    {'center': '768.a1', 'center_index': 768, 'center_order': 2, 'counter': 41, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '768.1090134', 'image_order': 768, 'indicator': 1, 'kernel': '768.a1', 'kernel_order': 2, 'label': '1536.408640176.12a', 'nt': [16, 1063], 'q_character': None, 'values': [[[12, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770154
    {'center': '768.a1', 'center_index': 768, 'center_order': 2, 'counter': 42, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '768.1090134', 'image_order': 768, 'indicator': 1, 'kernel': '768.a1', 'kernel_order': 2, 'label': '1536.408640176.12b', 'nt': [24, 1652], 'q_character': None, 'values': [[[12, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770155
    {'center': '768.a1', 'center_index': 768, 'center_order': 2, 'counter': 43, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '768.1090134', 'image_order': 768, 'indicator': 1, 'kernel': '768.a1', 'kernel_order': 2, 'label': '1536.408640176.12c', 'nt': [24, 1652], 'q_character': None, 'values': [[[12, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770156
    {'center': '768.a1', 'center_index': 768, 'center_order': 2, 'counter': 44, 'cyclotomic_n': 1, 'dim': 12, 'faithful': False, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '768.1090134', 'image_order': 768, 'indicator': 1, 'kernel': '768.a1', 'kernel_order': 2, 'label': '1536.408640176.12d', 'nt': [24, 1657], 'q_character': None, 'values': [[[12, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770157
    {'center': '768.a1', 'center_index': 768, 'center_order': 2, 'counter': 45, 'cyclotomic_n': 1, 'dim': 12, 'faithful': True, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '1536.408640176', 'image_order': 1536, 'indicator': 1, 'kernel': '1536.a1', 'kernel_order': 1, 'label': '1536.408640176.12e', 'nt': [24, 3330], 'q_character': None, 'values': [[[12, 0]], [[-12, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770158
    {'center': '768.a1', 'center_index': 768, 'center_order': 2, 'counter': 46, 'cyclotomic_n': 1, 'dim': 12, 'faithful': True, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '1536.408640176', 'image_order': 1536, 'indicator': 1, 'kernel': '1536.a1', 'kernel_order': 1, 'label': '1536.408640176.12f', 'nt': [24, 3330], 'q_character': None, 'values': [[[12, 0]], [[-12, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770159
    {'center': '768.a1', 'center_index': 768, 'center_order': 2, 'counter': 47, 'cyclotomic_n': 1, 'dim': 12, 'faithful': True, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '1536.408640176', 'image_order': 1536, 'indicator': 1, 'kernel': '1536.a1', 'kernel_order': 1, 'label': '1536.408640176.12g', 'nt': [24, 3330], 'q_character': None, 'values': [[[12, 0]], [[-12, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5770160
    {'center': '768.a1', 'center_index': 768, 'center_order': 2, 'counter': 48, 'cyclotomic_n': 1, 'dim': 12, 'faithful': True, 'field': [0, 1], 'group': '1536.408640176', 'group_counter': 408640176, 'group_order': 1536, 'image': None, 'image_isoclass': '1536.408640176', 'image_order': 1536, 'indicator': 1, 'kernel': '1536.a1', 'kernel_order': 1, 'label': '1536.408640176.12h', 'nt': [24, 3330], 'q_character': None, 'values': [[[12, 0]], [[-12, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 62616914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1536, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '1536.408640176.1.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': '1536.408640176', 'subgroup_hash': 897929048780159773, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^6:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 768, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.2.a1', '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '768.1085079', 'subgroup_hash': 1085079, 'subgroup_order': 768, 'subgroup_tex': 'C_2^6:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 768, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.2.b1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '768.1090131', 'subgroup_hash': 1090131, 'subgroup_order': 768, 'subgroup_tex': 'C_2^5:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': True, 'centralizer_order': 2, 'characteristic': False, 'core_order': 768, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1536.408640176.2.c1', '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': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '768.1090134', 'subgroup_hash': 1090134, 'subgroup_order': 768, 'subgroup_tex': 'C_2^5:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1536.408640176.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '512.7530058', 'subgroup_hash': 5526727545486539728, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:C_2^3', 'supersolvable': True, 'sylow': 2}
  • id: 62617784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 384, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.4.a1', '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.18231', 'subgroup_hash': 18231, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 384, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.4.b1', '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': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.18235', 'subgroup_hash': 18235, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62618006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 384, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.4.c1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.18135', 'subgroup_hash': 18135, 'subgroup_order': 384, 'subgroup_tex': 'C_4^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62618117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.4.d1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '384.20163', 'subgroup_hash': 20163, 'subgroup_order': 384, 'subgroup_tex': 'C_2^2\\wr S_3', 'supersolvable': False, 'sylow': 0}
  • id: 62616915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 64, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.4.e1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '384.17948', 'subgroup_hash': 17948, 'subgroup_order': 384, 'subgroup_tex': 'C_2^4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 64, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.4.f1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '384.17949', 'subgroup_hash': 17949, 'subgroup_order': 384, 'subgroup_tex': 'C_2^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 256, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.55706', 'subgroup_hash': 55706, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 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': '256.53371', 'subgroup_hash': 53371, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26343', 'subgroup_hash': 26343, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.53383', 'subgroup_hash': 53383, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26332', 'subgroup_hash': 26332, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.53380', 'subgroup_hash': 53380, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26329', 'subgroup_hash': 26329, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26532', 'subgroup_hash': 26532, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26531', 'subgroup_hash': 26531, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26536', 'subgroup_hash': 26536, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 128, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26535', 'subgroup_hash': 26535, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26539', 'subgroup_hash': 26539, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26539', 'subgroup_hash': 26539, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26539', 'subgroup_hash': 26539, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 128, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.6.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '256.26539', 'subgroup_hash': 26539, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 192, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.8.a1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1023', 'subgroup_hash': 1023, 'subgroup_order': 192, 'subgroup_tex': 'C_4^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617429
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 62617440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 64, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '192.1000', 'subgroup_hash': 1000, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 64, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '192.1002', 'subgroup_hash': 1002, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 16, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '192.1001', 'subgroup_hash': 1001, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.8.f1', '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': '192.1538', 'subgroup_hash': 1538, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 32, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.8.g1', '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': '192.1538', 'subgroup_hash': 1538, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 32, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.8.h1', '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': '192.944', 'subgroup_hash': 944, 'subgroup_order': 192, 'subgroup_tex': 'C_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 62617507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.8.i1', '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': '192.1538', 'subgroup_hash': 1538, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 32, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.8.j1', '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': '192.956', 'subgroup_hash': 956, 'subgroup_order': 192, 'subgroup_tex': 'C_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 62617529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 32, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.8.k1', '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': '192.955', 'subgroup_hash': 955, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 128, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.2258', 'subgroup_hash': 2258, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 128, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': 2264, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 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': '128.2323', 'subgroup_hash': 2323, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 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': '128.2182', 'subgroup_hash': 2182, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 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': '128.1613', 'subgroup_hash': 1613, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 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': '128.1613', 'subgroup_hash': 1613, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1617', 'subgroup_hash': 1617, 'subgroup_order': 128, 'subgroup_tex': '\\OD_{16}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2178', 'subgroup_hash': 2178, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2177', 'subgroup_hash': 2177, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1613', 'subgroup_hash': 1613, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1756', 'subgroup_hash': 1756, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1747', 'subgroup_hash': 1747, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1746', 'subgroup_hash': 1746, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1613', 'subgroup_hash': 1613, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2177', 'subgroup_hash': 2177, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2312', 'subgroup_hash': 2312, 'subgroup_order': 128, 'subgroup_tex': 'D_8:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1632', 'subgroup_hash': 1632, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2195', 'subgroup_hash': 2195, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2201', 'subgroup_hash': 2201, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.850', 'subgroup_hash': 850, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2194', 'subgroup_hash': 2194, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1746', 'subgroup_hash': 1746, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.856', 'subgroup_hash': 856, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1756', 'subgroup_hash': 1756, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1747', 'subgroup_hash': 1747, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.851', 'subgroup_hash': 851, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.857', 'subgroup_hash': 857, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.850', 'subgroup_hash': 850, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2257', 'subgroup_hash': 2257, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.850', 'subgroup_hash': 850, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1751', 'subgroup_hash': 1751, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1751', 'subgroup_hash': 1751, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1758', 'subgroup_hash': 1758, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1758', 'subgroup_hash': 1758, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1758', 'subgroup_hash': 1758, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.853', 'subgroup_hash': 853, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1758', 'subgroup_hash': 1758, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.853', 'subgroup_hash': 853, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1751', 'subgroup_hash': 1751, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62618062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1751', 'subgroup_hash': 1751, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62618073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.859', 'subgroup_hash': 859, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.859', 'subgroup_hash': 859, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2264', 'subgroup_hash': 2264, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2264', 'subgroup_hash': 2264, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.850', 'subgroup_hash': 850, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2264', 'subgroup_hash': 2264, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2264', 'subgroup_hash': 2264, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.850', 'subgroup_hash': 850, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.928', 'subgroup_hash': 928, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\wr D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.928', 'subgroup_hash': 928, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\wr D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.929', 'subgroup_hash': 929, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.929', 'subgroup_hash': 929, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.931', 'subgroup_hash': 931, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.932', 'subgroup_hash': 932, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.931', 'subgroup_hash': 931, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.931', 'subgroup_hash': 931, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.932', 'subgroup_hash': 932, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.12.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.931', 'subgroup_hash': 931, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '96.226', 'subgroup_hash': 226, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617015
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617027
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 32, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617038
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 32, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '96.68', 'subgroup_hash': 68, 'subgroup_order': 96, 'subgroup_tex': 'C_4^2:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 62617049
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 8, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '96.68', 'subgroup_hash': 68, 'subgroup_order': 96, 'subgroup_tex': 'C_4^2:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 62617060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.f1', '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': '96.226', 'subgroup_hash': 226, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617071
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 32, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '96.72', 'subgroup_hash': 72, 'subgroup_order': 96, 'subgroup_tex': 'C_4^2:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 62617093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 32, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '96.70', 'subgroup_hash': 70, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 8, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '96.71', 'subgroup_hash': 71, 'subgroup_order': 96, 'subgroup_tex': 'C_4^2:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 62617115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 16, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.k1', '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': '96.227', 'subgroup_hash': 227, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.l1', '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': '96.227', 'subgroup_hash': 227, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 16, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.16.m1', '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': '96.64', 'subgroup_hash': 64, 'subgroup_order': 96, 'subgroup_tex': 'C_4^2:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 62617149
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 121, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 62617160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 64, 'counter': 122, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 64, 'counter': 123, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.211', 'subgroup_hash': 211, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 64, 'counter': 124, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', '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': ['D2', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': 242, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.263', 'subgroup_hash': 263, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.205', 'subgroup_hash': 205, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.254', 'subgroup_hash': 254, 'subgroup_order': 64, 'subgroup_tex': 'C_8:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.255', 'subgroup_hash': 255, 'subgroup_order': 64, 'subgroup_tex': 'Q_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.203', 'subgroup_hash': 203, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.253', 'subgroup_hash': 253, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.203', 'subgroup_hash': 203, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.205', 'subgroup_hash': 205, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.207', 'subgroup_hash': 207, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.209', 'subgroup_hash': 209, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.203', 'subgroup_hash': 203, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.205', 'subgroup_hash': 205, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.196', 'subgroup_hash': 196, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.196', 'subgroup_hash': 196, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.263', 'subgroup_hash': 263, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.263', 'subgroup_hash': 263, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.204', 'subgroup_hash': 204, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.247', 'subgroup_hash': 247, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62617301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.195', 'subgroup_hash': 195, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.203', 'subgroup_hash': 203, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.203', 'subgroup_hash': 203, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.211', 'subgroup_hash': 211, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.205', 'subgroup_hash': 205, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.207', 'subgroup_hash': 207, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.207', 'subgroup_hash': 207, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.205', 'subgroup_hash': 205, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.203', 'subgroup_hash': 203, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.209', 'subgroup_hash': 209, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.205', 'subgroup_hash': 205, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.254', 'subgroup_hash': 254, 'subgroup_order': 64, 'subgroup_tex': 'C_8:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.255', 'subgroup_hash': 255, 'subgroup_order': 64, 'subgroup_tex': 'Q_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.101', 'subgroup_hash': 101, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.101', 'subgroup_hash': 101, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.256', 'subgroup_hash': 256, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.216', 'subgroup_hash': 216, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.216', 'subgroup_hash': 216, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.216', 'subgroup_hash': 216, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.216', 'subgroup_hash': 216, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.eg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.216', 'subgroup_hash': 216, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.eh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.216', 'subgroup_hash': 216, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ei1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ej1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ek1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.el1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.em1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.en1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.eo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ep1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.eq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.er1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.es1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.et1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.136', 'subgroup_hash': 136, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.eu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.136', 'subgroup_hash': 136, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ev1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.134', 'subgroup_hash': 134, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ew1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.134', 'subgroup_hash': 134, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ex1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.139', 'subgroup_hash': 139, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ey1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.139', 'subgroup_hash': 139, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ez1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fa1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fe1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.256', 'subgroup_hash': 256, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ff1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.256', 'subgroup_hash': 256, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.102', 'subgroup_hash': 102, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.102', 'subgroup_hash': 102, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.232', 'subgroup_hash': 232, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.232', 'subgroup_hash': 232, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.232', 'subgroup_hash': 232, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ft1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.232', 'subgroup_hash': 232, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.fz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ga1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ge1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.232', 'subgroup_hash': 232, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.232', 'subgroup_hash': 232, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.134', 'subgroup_hash': 134, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.136', 'subgroup_hash': 136, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.136', 'subgroup_hash': 136, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.139', 'subgroup_hash': 139, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.241', 'subgroup_hash': 241, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.go1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.241', 'subgroup_hash': 241, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.242', 'subgroup_hash': 242, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.242', 'subgroup_hash': 242, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.241', 'subgroup_hash': 241, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.241', 'subgroup_hash': 241, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.242', 'subgroup_hash': 242, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.241', 'subgroup_hash': 241, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.gz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ha1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.242', 'subgroup_hash': 242, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.he1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.134', 'subgroup_hash': 134, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.34', 'subgroup_hash': 34, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.241', 'subgroup_hash': 241, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.139', 'subgroup_hash': 139, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.136', 'subgroup_hash': 136, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.136', 'subgroup_hash': 136, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.33', 'subgroup_hash': 33, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.35', 'subgroup_hash': 35, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.35', 'subgroup_hash': 35, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.ho1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.24.hq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617475
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.b1', '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': '48.48', 'subgroup_hash': 48, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617477
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617478
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.e1', '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': '48.48', 'subgroup_hash': 48, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.f1', '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': '48.48', 'subgroup_hash': 48, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.g1', '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': '48.48', 'subgroup_hash': 48, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617482
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 16, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.h1', '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': '48.50', 'subgroup_hash': 50, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617483
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '48.50', 'subgroup_hash': 50, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617484
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 16, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '48.3', 'subgroup_hash': 3, 'subgroup_order': 48, 'subgroup_tex': 'C_4^2:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 62617486
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '48.3', 'subgroup_hash': 3, 'subgroup_order': 48, 'subgroup_tex': 'C_4^2:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 62617487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.32.l1', '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': '48.48', 'subgroup_hash': 48, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617488
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 32, 'counter': 332, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617489
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 32, 'counter': 333, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617490
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 32, 'counter': 334, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617491
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 32, 'counter': 335, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 336, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 337, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617494
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617498
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617499
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617500
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617501
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.o2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.o2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617515
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617516
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617521
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.47', 'subgroup_hash': 47, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62617525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bi2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617528
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617534
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62617548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62617549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.41', 'subgroup_hash': 41, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62617550
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617556
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617560
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617565
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617566
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617583
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617587
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.47', 'subgroup_hash': 47, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617595
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62617598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617599
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dy2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dy2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617608
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ed2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ed2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.eg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.eh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.eh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ei1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62617620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ej1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ek1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.el1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.em1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.en1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.eo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ep1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.eq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.43', 'subgroup_hash': 43, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.er1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.44', 'subgroup_hash': 44, 'subgroup_order': 32, 'subgroup_tex': 'Q_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.es1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.et1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.eu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ev1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ew1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ex1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ey1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ez1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fa1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fe1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ff1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.43', 'subgroup_hash': 43, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.43', 'subgroup_hash': 43, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.44', 'subgroup_hash': 44, 'subgroup_order': 32, 'subgroup_tex': 'Q_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.44', 'subgroup_hash': 44, 'subgroup_order': 32, 'subgroup_tex': 'Q_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ft1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.fz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ga1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ge1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617683
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.go1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 62617684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.gz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ha1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.he1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.33', 'subgroup_hash': 33, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.33', 'subgroup_hash': 33, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.hl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ho1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hs2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.hs2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ht1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.hz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ia1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ia2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ia2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ia3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ia3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ib1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ic1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.id1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ie1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.if1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ig1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ih1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ii1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ij1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ik1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.il1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.im1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.in1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.29', 'subgroup_hash': 29, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.in2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.in2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.29', 'subgroup_hash': 29, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.io1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': 24, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.io2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.io2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': 24, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ip1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.29', 'subgroup_hash': 29, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.iq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.29', 'subgroup_hash': 29, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ir1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62617752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.is1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': 24, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.it1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.iu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.iv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.iw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ix1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.iy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.iz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ja1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.je1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ji1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.jq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.jr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.js1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.js1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.jt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ju1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ju1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.jv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.jw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.jx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.jy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jy2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.jy2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.jz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.jz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ka1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ka1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ke1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ke1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ki1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ki1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.33', 'subgroup_hash': 33, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.33', 'subgroup_hash': 33, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.km1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.km1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ko1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ko1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ks1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ks1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ku1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ku1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ky1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ky1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.kz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.kz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.la1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.la1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ld1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ld1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.le1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.le1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.li1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.li1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ll1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ll1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ln1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ln1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.43', 'subgroup_hash': 43, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ls1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ls1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ly1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ly1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.lz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.lz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ma1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ma1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.md1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.md1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.me1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.me1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.33', 'subgroup_hash': 33, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.33', 'subgroup_hash': 33, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.ml1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ml1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.11', 'subgroup_hash': 11, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.44', 'subgroup_hash': 44, 'subgroup_order': 32, 'subgroup_tex': 'Q_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.44', 'subgroup_hash': 44, 'subgroup_order': 32, 'subgroup_tex': 'Q_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.11', 'subgroup_hash': 11, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.48.mp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.mp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.11', 'subgroup_hash': 11, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617867
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617868
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 62617869
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617870
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.c2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617871
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617872
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.12', 'subgroup_hash': 12, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617875
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617876
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.12', 'subgroup_hash': 12, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.64.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.12', 'subgroup_hash': 12, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 62617879
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 16, 'counter': 685, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617880
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 16, 'counter': 686, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617881
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 16, 'counter': 687, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617882
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 16, 'counter': 688, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617883
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617885
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617886
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617890
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617891
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617892
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617893
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617894
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617897
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617898
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617901
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617902
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617903
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617904
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617905
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617910
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617916
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617917
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617919
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617920
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617923
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617924
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617925
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617926
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617927
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617930
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617931
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617932
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617934
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617935
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617942
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617943
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617944
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617945
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617946
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617948
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617949
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617950
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617952
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617953
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617954
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617955
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617956
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617957
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617958
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617959
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617961
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617966
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617967
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.da2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617968
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617969
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617970
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617971
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617974
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617975
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617978
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617979
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dj2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617983
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617985
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617989
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617990
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617991
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617992
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dt2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dt2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62617993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dy2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dy2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618001
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ec2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ec2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618005
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618009
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.eg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618011
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.eh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ei1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ej1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ek1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ek2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ek2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.el1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62618017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.em1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62618019
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.en1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618020
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.en2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.en2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618021
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.eo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ep1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.eq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.er1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618025
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.es1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618026
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.et1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.eu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ev1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ew1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618031
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ex1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618032
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ey1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618033
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ez1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618034
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fa1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618035
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fa2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.fa2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618036
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fe1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fe2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.fe2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ff1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.fh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ft1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618064
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618065
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.fz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ga1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ga2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ga2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618069
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618070
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ge1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618077
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618078
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62618082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.go1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62618083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62618085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gu2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.gu2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.gv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.gw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618096
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.gz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ha1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hc2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.hc2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.hd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618105
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.he1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 62618107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ho1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ht1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 62618124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62618125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.hz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ia1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ib1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ic1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.id1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62618135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ie1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62618136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.if1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62618137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ig1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62618138
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ih1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618139
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ii1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ij1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ik1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.il1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.im1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.in1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.io1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ip1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618148
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.iq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ir1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618150
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.is1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.it1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.iu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.iv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.iw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618156
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ix1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618157
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.iy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.iz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ja1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618163
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618164
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.je1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618165
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618166
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ji1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.jq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.jr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.js1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.js1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618180
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.jt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ju1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ju1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.jv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.jw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.jx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.jy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.jz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.jz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ka1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ka1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618190
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618191
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 62618192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ke1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ke1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618197
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ki1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ki1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618198
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.km1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.km1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ko1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ko1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ks1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ks1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ku1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ku1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618212
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ky1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ky1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.kz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.kz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.la1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.la1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 991, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 992, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ld1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ld1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 993, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.le1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.le1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 994, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 995, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 996, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 997, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.li1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.li1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62618226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 998, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62618227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 999, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 1000, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ll1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ll1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 1001, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 1002, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ln1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ln1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62616920
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 1003, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62616921
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 1004, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62616922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 1005, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62616923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 1006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62616924
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 1007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ls1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ls1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62616925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 1008, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 62616926
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 1009, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62616928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 1010, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616929
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 1011, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 62616930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 1012, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ly1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ly1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.lz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.lz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.ma1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ma1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.96.mb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.mb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616935
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 2, 'counter': 1017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.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': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 62616936
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 1018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.128.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.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': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 62616937
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 1019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.128.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.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': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62616939
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 1020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.128.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.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': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 62616940
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 1021, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.128.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62616941
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 1022, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.128.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62616942
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 1023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.128.f2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.f2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 62616943
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 8, 'counter': 1024, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1538, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:S_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616944
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 1025, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.192.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1538, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616945
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616946
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616947
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 1028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616948
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 1029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616950
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616951
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.g2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.g2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616952
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616953
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.h2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.h2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616954
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616955
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.i2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.i2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616956
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616957
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616958
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616959
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616961
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616962
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1041, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616963
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1042, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616964
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1043, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616965
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616966
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616967
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616968
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616969
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616970
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616972
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616973
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616974
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616975
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616976
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ba2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ba2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616977
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616978
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616979
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616980
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616981
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616983
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616984
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616985
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616986
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616987
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616988
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616989
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616990
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616991
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616992
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1069, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616994
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616995
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616996
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62616997
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616998
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bs2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bs2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62616999
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617000
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617001
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617002
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617003
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1079, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617005
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617006
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.by2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617007
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617008
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.bz2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617009
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617010
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ca2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617011
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617012
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617014
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617016
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617017
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617018
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617019
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617020
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617021
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617022
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1096, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617023
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1097, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617024
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1098, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1099, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617032
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617033
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617034
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617035
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617036
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617037
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617039
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617040
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617041
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617042
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617043
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617045
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617050
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617051
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617052
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617053
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617054
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617055
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617056
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617058
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617064
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617065
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617074
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617075
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617076
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.eg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617077
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.eg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.eg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.eh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ei1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ej1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ek1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617083
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.el1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617084
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.em1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617085
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.en1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617086
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.eo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617087
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.eo2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.eo2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ep1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.eq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.er1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.es1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617092
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.et1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617094
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.eu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617095
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ev1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617096
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ew1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ex1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ey1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ez1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fa1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617102
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617103
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617105
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fe1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617106
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ff1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617107
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617109
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617110
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617111
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617112
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617113
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617114
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617116
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ft1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617127
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1190, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 62617128
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 1191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.fz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ga1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617130
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617131
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617132
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617133
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ge1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 1197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617135
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617136
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617139
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617140
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617141
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617142
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 1203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617143
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617144
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.gm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617145
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617146
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.go1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617147
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617148
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617150
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617151
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gr2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.gr2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617152
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617153
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617154
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617155
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617156
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617157
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617158
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 62617159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.gz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617161
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.ha1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.hb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.hc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 1223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.hd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 1224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.he1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.192.hf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617167
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 2, 'counter': 1226, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.256.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.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': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 62617168
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 1227, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.256.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.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': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 62617169
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 1228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.256.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '256.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 62617170
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 4, 'counter': 1229, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.408640176.384.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.20163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 20163, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\wr S_3', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'D3', 'C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617172
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 1230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617173
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 1231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617174
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 1232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617175
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 1233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617176
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617177
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617178
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 1236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617179
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 1237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617180
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617181
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617183
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617184
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617185
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617186
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617187
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617188
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.o2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.o2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617189
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617190
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.p2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.p2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617191
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617192
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617194
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617195
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617196
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617197
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617198
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617199
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.w2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.w2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617200
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617201
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.x2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.x2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617202
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617203
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.y2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.y2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617205
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617206
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.z2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.z2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617207
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617208
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.ba2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.ba2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617209
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617210
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1265, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617211
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1266, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617212
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1267, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617213
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1268, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617214
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1269, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617216
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1270, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617217
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1271, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617218
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617219
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617220
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617221
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617222
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617223
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617224
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617225
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617227
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617228
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617229
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617230
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617231
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617232
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617233
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617234
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617235
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617236
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617238
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.ca2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.ca2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617239
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617240
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617241
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617242
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617243
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1295, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617244
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617245
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617246
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1298, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 62617247
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617250
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.408640176.384.cj2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.cj2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 62617251
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 1301, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '1536.408640176.512.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '512.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': 512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 62617252
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 2, 'counter': 1302, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1536.408640176.768.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '768.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1090134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1090134, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^5:S_4', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617253
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1303, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617254
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1304, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617255
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1305, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617256
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1306, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617257
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1307, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617258
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1308, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617259
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1309, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617261
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1310, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617262
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1311, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617263
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 1312, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617264
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1313, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.408640176.768.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62617265
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.408640176', 'ambient_counter': 408640176, 'ambient_order': 1536, 'ambient_tex': 'C_2^6:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 1, 'counter': 1314, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1536.408640176.1536.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1536.408640176', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 897929048780159773, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^6:S_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D4', 'C7'], '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: 62617178
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.i1', '192.i2', '192.t1', '192.w1', '192.be1'], 'contains': ['768.a1', '768.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 4088271101448655], 'label': '1536.408640176.384.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.q1', 'old_label': '384.h1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616969
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.v1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.p1', '96.w1', '96.cr1', '96.cs1', '96.cv1'], 'contains': ['384.d1', '384.f1', '384.bt1', '384.bu1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 50346753847, 1], 'label': '1536.408640176.192.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.v1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.v1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616970
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.w1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bh1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.m1', '96.x1', '96.cw1'], 'contains': ['384.e1', '384.g1', '384.h1', '384.bv1', '384.bw1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795527018642215, 1179562545343134, 1], 'label': '1536.408640176.192.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bh1', 'old_label': '192.w1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.w1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616991
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.bn1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.t1', '96.db1', '96.df1'], 'contains': ['384.l1', '384.q1', '384.bs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795184387931521, 85621839531960, 795533260052209], 'label': '1536.408640176.192.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.g1', 'old_label': '192.bn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bn1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617049
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1008', 'aut_weyl_index': 64, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '8.e1'], 'contains': ['32.k1', '48.dt1', '64.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 83903140502304, 359890668370854, 1, 4466419656786750], 'label': '1536.408640176.16.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '16.e1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '96.71'}
  • id: 62617156
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.gw1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.h1', '96.ct1', '96.da1', '96.eo1'], 'contains': ['384.bm1', '384.by1', '384.cj2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [486919748214, 1821708766832454, 795340005803407], 'label': '1536.408640176.192.gw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '192.gw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gw1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 62617157
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.gx1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.cu1', '96.df1', '96.fy1'], 'contains': ['384.bq1', '384.bs1', '384.cb1', '384.cd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [1558054135131895, 85621839531960, 1558403286670945], 'label': '1536.408640176.192.gx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.y1', 'old_label': '192.gx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gx1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616914
    {'ambient': '1536.408640176', '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': '768.a1', 'complements': ['1536.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '3.a1', '4.d1', '4.e1', '4.f1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [83903140502304, 85621839531960, 1558054135131894, 359890668370854, 1179562545343134, 1821708766832454, 486919748214, 1822337812123926, 735925060135, 1], 'label': '1536.408640176.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '768.1090134', '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': '768.1090134'}
  • id: 62616915
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1536.408560443', 'aut_weyl_index': 8, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['8.c1', '8.g1', '8.k1', '12.n1', '16.a1'], 'core': '24.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 85621839531960, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.4.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '4.e1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '192.955'}
  • id: 62616916
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.ck1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.h1', '6.m1', '6.n1'], 'contains': ['24.gd1', '24.ge1', '24.gg1', '24.hh1', '24.hi1', '24.hk1', '24.hl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1558054135131894, 1822051397507040, 85621839531960, 4087853328153271, 359890668370854], 'label': '1536.408640176.12.ck1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ck1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.ck1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62616917
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ll1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.do1', '48.gs1', '48.he1', '48.ho1', '48.ia2', '48.ib1', '48.ii1', '48.in2', '48.ip1', '48.jj1', '48.jy2', '48.kj1', '48.le1', '48.lh1', '48.mj1'], 'contains': ['192.gg1', '192.gj1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 3867807024594391, 1179756178121070, 359890668370854], 'label': '1536.408640176.96.ll1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ll1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ll1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62616918
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.lm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.do1', '48.gs1', '48.hf1', '48.hp1', '48.ia1', '48.ia3', '48.ih1', '48.in1', '48.iq1', '48.jv1', '48.jy1', '48.kk1', '48.kr1', '48.li1', '48.mi1'], 'contains': ['192.gg1', '192.gk1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121071, 1558496612582695, 359890668370854], 'label': '1536.408640176.96.lm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.lm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lm1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62616919
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ln1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dp1', '48.gy1', '48.ie1', '48.in1', '48.in2', '48.jo1', '48.ke1', '48.kg1', '48.kw1', '48.ky1', '48.lr1'], 'contains': ['192.fu1', '192.gh1', '192.gj1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 4913329002108151, 359890668370854], 'label': '1536.408640176.96.ln1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ln1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ln1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62616920
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.lo1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.dq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dq1', '48.gy1', '48.hq1', '48.ij1', '48.io2', '48.jz1', '48.kj1', '48.kt1', '48.mi1'], 'contains': ['192.gh1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1558496612582695, 4087853328153271, 359890668370854], 'label': '1536.408640176.96.lo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.lo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lo1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62616921
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.lp1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '48.hc1', '48.io1', '48.io2', '48.jp1', '48.kg1', '48.ky1', '48.ls1', '48.ml1'], 'contains': ['192.gh1', '192.gi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 4087853328153271, 359890668370854], 'label': '1536.408640176.96.lp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.lp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lp1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62616922
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.lq1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dp1', '48.gz1', '48.if1', '48.ip1', '48.jp1', '48.jq1', '48.lt1', '48.lx1', '48.mm1'], 'contains': ['192.fw1', '192.gi1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 1558428202046910, 4087853328153270], 'label': '1536.408640176.96.lq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.lq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lq1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62616923
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.lr1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dp1', '48.ha1', '48.ig1', '48.iq1', '48.js1', '48.kh1', '48.kz1', '48.ls1', '48.mn1'], 'contains': ['192.fx1', '192.gi1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [2209075491697615, 1822337812123926, 4466674913186214, 359890668370854], 'label': '1536.408640176.96.lr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.lr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lr1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62616924
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ls1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.dq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.dq1', '48.gz1', '48.ha1', '48.hr1', '48.ik1', '48.io1', '48.is1', '48.jl1', '48.kk1', '48.ll1', '48.mj1', '48.mo1'], 'contains': ['192.gi1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 359890668370854, 2208708020989111], 'label': '1536.408640176.96.ls1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ls1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ls1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62616925
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.lt1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.bb1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.dr1', '48.hb1', '48.ir1', '48.jr1', '48.lo1', '48.lw1', '48.ml1', '48.mm1', '48.mn1', '48.mo1', '48.mp1'], 'contains': ['192.fy1', '192.gi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 3982176232894495, 359890668370854], 'label': '1536.408640176.96.lt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.lt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lt1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62616926
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.lu1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.dt1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dt1', '48.hh1', '48.ia1', '48.ia2', '48.ia3', '48.jq1', '48.ke1', '48.kh1', '48.kw1', '48.kz1', '48.lr1'], 'contains': ['192.gj1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 4466419656786751], 'label': '1536.408640176.96.lu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.lu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lu1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62616927
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.cl1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.h1', '6.l1', '6.o1'], 'contains': ['24.gd1', '24.gf1', '24.gg1', '24.hh1', '24.hj1', '24.hk1', '24.hm1'], 'core': '96.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1558054135131894, 1179756178121070, 359890668370854, 85621839531961, 4087853328153270], 'label': '1536.408640176.12.cl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cl1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62616928
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.lv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ds1', '48.hh1', '48.hi1', '48.hl1', '48.hq1', '48.hw1', '48.ik1', '48.in1', '48.ip1', '48.jk1', '48.jy1', '48.kj1', '48.lf1', '48.lh1', '48.mj1'], 'contains': ['192.gj1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 4466581508513575, 359890668370854], 'label': '1536.408640176.96.lv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.lv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lv1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62616929
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.lw1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '48.49', 'aut_weyl_index': 256, 'centralizer': '48.dt1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.k1', '48.dt1', '48.hi1', '48.ib1', '48.jo1', '48.lt1'], 'contains': ['192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 4466419656786750], 'label': '1536.408640176.96.lw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '96.lw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lw1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 62616930
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.lx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ds1', '48.hh1', '48.hl2', '48.hr1', '48.hx1', '48.ij1', '48.in2', '48.iq1', '48.jw1', '48.jy2', '48.kk1', '48.ks1', '48.li1', '48.mi1'], 'contains': ['192.gk1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121071, 4466581508513575, 359890668370854], 'label': '1536.408640176.96.lx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.lx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lx1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62616931
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '96.ly1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.du1', '48.dw1', '48.fc1'], 'contains': ['192.gm2', '192.gp1', '192.gq1', '192.hb1', '192.hc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [1821864384688489, 85621839531960, 1822057638927127, 795776023551774], 'label': '1536.408640176.96.ly1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.ly1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ly1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62616932
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '96.lz1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.du1', '48.dw1', '48.fe1'], 'contains': ['192.gn1', '192.gp1', '192.gq1', '192.hb1', '192.hf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [486919748214, 723416299248, 85621839531961, 795340005803407], 'label': '1536.408640176.96.lz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.lz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lz1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62616933
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '96.ma1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.dv1', '48.dw1', '48.fc1'], 'contains': ['192.gp1', '192.gq1', '192.gt1', '192.gz1', '192.hc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [281175158881, 795171915151927, 85621839531960, 293647592166], 'label': '1536.408640176.96.ma1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.ma1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ma1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62616934
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '96.mb1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.l1', '48.dv1', '48.dw1', '48.fe1'], 'contains': ['192.gp1', '192.gq1', '192.gu1', '192.gz1', '192.hf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [735925060135, 486919748214, 723416299248, 85621839531961], 'label': '1536.408640176.96.mb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.mb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.mb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62616935
    {'ambient': '1536.408640176', 'aut_centralizer_order': 48, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '128.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.c1', '32.d1', '64.b1'], 'contains': ['256.a1', '256.b1', '384.c1'], 'core': '768.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [735925060135, 83903140502304, 1], 'label': '1536.408640176.128.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.b1', 'old_label': '128.a1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616936
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '128.b1', 'aut_quo_index': None, 'aut_stab_index': 128, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1024, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '32.e1', '32.f1', '64.b1'], 'contains': ['256.a1', '256.c1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 128, 'diagramx': None, 'generators': [86082708280015, 83903140502304, 1], 'label': '1536.408640176.128.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.b1', 'old_label': '128.b1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62616937
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '128.c1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1', '32.i1', '32.j1', '32.k1', '64.a1', '64.e1', '64.f1'], 'contains': ['384.a1', '512.a1'], 'core': '384.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1822337812123926, 83903140502304, 359890668370854], 'label': '1536.408640176.128.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '128.c1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62616938
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.cm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.k1', '6.l1'], 'contains': ['24.gr1', '24.gv1', '24.gw1', '24.ha1', '24.hb1', '24.hj1', '24.hm1'], 'core': '96.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 1179756178121070, 359890668370854, 486919748215, 4087853328153270], 'label': '1536.408640176.12.cm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cm1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62616939
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': 256, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1024, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.g1', '32.l1', '64.b1'], 'contains': ['256.b1', '256.c1', '384.bn1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 256, 'diagramx': None, 'generators': [735925060135, 83903140502304, 85621839531961], 'label': '1536.408640176.128.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.b1', 'old_label': '128.d1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62616940
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '128.e1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.h1', '64.d1', '64.i1'], 'contains': ['384.cg1', '512.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894, 83903140502304], 'label': '1536.408640176.128.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.f1', 'old_label': '128.e1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.e1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62616941
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '128.f1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.i1', '64.c1', '64.g1', '64.j1'], 'contains': ['384.cj1', '512.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [486919748214, 83903140502304, 723416299248], 'label': '1536.408640176.128.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.f1', 'old_label': '128.f1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.f1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62616942
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '128.f2', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.i1', '64.c2', '64.h1'], 'contains': ['384.cj2', '512.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [795377379173040, 1821864384688488, 83903140502304], 'label': '1536.408640176.128.f2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1', 'old_label': '128.f2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.f2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 62616943
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2048, 'aut_label': '192.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.cf1', '96.cg1', '96.ch1', '96.ci1', '96.cj1', '96.ck1', '96.cl1', '96.cm1', '96.cn1'], 'contains': ['384.a1', '384.b1', '384.r1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 1], 'label': '1536.408640176.192.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': ['48.a1', '48.b1', '48.c1', '96.a1'], 'normal_contains': ['384.a1', '768.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': '768.1090134', 'quotient_action_image': '6.1', 'quotient_action_kernel': '32.51', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62616944
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.b1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['64.e1', '96.a1', '96.ih1', '96.ii1', '96.ij1', '96.ik1', '96.il1', '96.im1', '96.in1', '96.io1', '96.ip1'], 'contains': ['384.a1', '384.s1'], 'core': '192.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854], 'label': '1536.408640176.192.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1', 'normal_contained_in': ['48.d1', '48.e1', '48.f1', '96.a1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '192.b1', 'projective_image': '1536.408640176', 'quotient_action_image': '24.12', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '192.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62616945
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '96.e1', '96.f1', '96.g1', '96.h1', '96.i1', '96.j1', '96.k1', '96.l1'], 'contains': ['384.b1', '384.c1', '384.j1', '384.s1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1], 'label': '1536.408640176.192.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '192.c1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616946
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.e1', '96.m1', '96.n1', '96.o1', '96.p1', '96.w1', '96.cf1'], 'contains': ['384.b1', '384.d1', '384.e1', '384.k1', '384.t1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1], 'label': '1536.408640176.192.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '192.d1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616947
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '192.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '6.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.f1', '96.q1', '96.r1', '96.s1', '96.t1', '96.u1', '96.v1', '96.w1', '96.cf1'], 'contains': ['384.b1', '384.d1', '384.l1', '384.u1'], 'core': '768.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [281175158881, 359890668370854, 1], 'label': '1536.408640176.192.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.e1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616948
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '192.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.g1', '96.o1', '96.x1', '96.y1', '96.z1', '96.ba1', '96.bb1', '96.cf1'], 'contains': ['384.b1', '384.e1', '384.m1', '384.v1'], 'core': '768.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822057638927127, 359890668370854, 1], 'label': '1536.408640176.192.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.f1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616949
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.cn1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.j1', '6.l1', '6.m1'], 'contains': ['24.gu1', '24.gv1', '24.gw1', '24.he1', '24.hf1', '24.hh1', '24.hk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1821708766832455, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854], 'label': '1536.408640176.12.cn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cn1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62616950
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.e1', '96.o1', '96.w1', '96.bd1', '96.bf1', '96.bk1', '96.cg1'], 'contains': ['384.b1', '384.f1', '384.n1', '384.w1', '384.ba1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1], 'label': '1536.408640176.192.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '192.g1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616951
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '192.g2', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.f1', '96.g1', '96.p1', '96.bc1', '96.be1', '96.bg1', '96.bh1', '96.bi1', '96.bj1', '96.bk1', '96.cg1'], 'contains': ['384.b1', '384.f1', '384.n2', '384.w2', '384.ba2'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 359890668370854, 1], 'label': '1536.408640176.192.g2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '192.g2', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.g2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616952
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '192.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.h1', '96.q1', '96.x1', '96.bc1', '96.bm1', '96.bn1', '96.bo1', '96.bp1', '96.bq1', '96.br1', '96.ch1'], 'contains': ['384.b1', '384.g1', '384.o1', '384.x1', '384.z1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1], 'label': '1536.408640176.192.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '192.h1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616953
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.h2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.m1', '96.r1', '96.y1', '96.bd1', '96.bl1', '96.br1', '96.ch1'], 'contains': ['384.b1', '384.g1', '384.o2', '384.x2', '384.z2'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 795533260052208, 1], 'label': '1536.408640176.192.h2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '192.h2', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.h2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616954
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '12.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.i1', '96.q1', '96.x1', '96.be1', '96.bl1', '96.bs1', '96.bt1', '96.bv1', '96.ci1'], 'contains': ['384.b1', '384.h1', '384.p1', '384.y1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1, 4088271101448655], 'label': '1536.408640176.192.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '192.i1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616955
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.i2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.m1', '96.s1', '96.z1', '96.bf1', '96.bu1', '96.bw1', '96.ci1'], 'contains': ['384.b1', '384.h1', '384.p2', '384.y2'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795533260052208, 1, 4088271101448655], 'label': '1536.408640176.192.i2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '192.i2', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616956
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.j1', '96.k1', '96.t1', '96.ba1', '96.bg1', '96.bh1', '96.bm1', '96.bn1', '96.bs1', '96.bt1', '96.bx1', '96.by1', '96.bz1', '96.ca1', '96.cj1'], 'contains': ['384.b1', '384.i1', '384.q1', '384.bb1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 1], 'label': '1536.408640176.192.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.j1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616957
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '12.s1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.h1', '96.u1', '96.bb1', '96.be1', '96.bu1', '96.bx1', '96.bz1', '96.cb1', '96.ck1'], 'contains': ['384.b1', '384.bc1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1], 'label': '1536.408640176.192.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '192.k1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616958
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '192.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.t1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.i1', '96.u1', '96.bb1', '96.bc1', '96.bw1', '96.by1', '96.ca1', '96.cc1', '96.cd1', '96.ce1', '96.cl1'], 'contains': ['384.b1', '384.bd1', '384.be1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 1], 'label': '1536.408640176.192.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '192.l1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.l1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616959
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.j1', '96.l1', '96.v1', '96.ba1', '96.bg1', '96.bi1', '96.bm1', '96.bo1', '96.bs1', '96.bv1', '96.bx1', '96.by1', '96.cb1', '96.cc1', '96.cj1'], 'contains': ['384.b1', '384.bf1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779421385188801, 795533260052208, 1], 'label': '1536.408640176.192.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.m1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616960
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.co1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.k1', '6.m1'], 'contains': ['24.gv1', '24.gw1', '24.gx1', '24.hi1', '24.hl1', '24.hp1', '24.hq1'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 1822051397507040, 359890668370854, 486919748215], 'label': '1536.408640176.12.co1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.co1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.co1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62616961
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.n1', '96.s1', '96.z1', '96.bd1', '96.bu1', '96.cd1', '96.cm1'], 'contains': ['384.b1', '384.bg1', '384.bh1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1], 'label': '1536.408640176.192.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '192.n1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616962
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bk1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.n1', '96.r1', '96.y1', '96.bf1', '96.bl1', '96.bp1', '96.cn1'], 'contains': ['384.b1', '384.bi1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [359890668370854, 1179681327544015, 1], 'label': '1536.408640176.192.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '192.o1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.o1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616963
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.e1', '96.f1', '96.co1', '96.cp1', '96.cq1', '96.cr1', '96.cs1'], 'contains': ['384.c1', '384.d1', '384.f1', '384.bj1', '384.bk1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 1], 'label': '1536.408640176.192.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.p1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.p1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616964
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.q1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.e1', '96.g1', '96.co1', '96.cr1', '96.ct1'], 'contains': ['384.c1', '384.e1', '384.f1', '384.bl1', '384.bm1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 1], 'label': '1536.408640176.192.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.q1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.q1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616965
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.r1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.b1', '96.k1', '96.cp1'], 'contains': ['384.c1', '384.i1', '384.bn1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 85621839531960, 1], 'label': '1536.408640176.192.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.j1', 'old_label': '192.r1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.r1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616966
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.s1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.o1', '96.p1', '96.w1', '96.co1', '96.cr1'], 'contains': ['384.d1', '384.e1', '384.f1', '384.bo1', '384.bp1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1], 'label': '1536.408640176.192.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.s1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.s1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616967
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.t1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.m1', '96.q1', '96.cu1'], 'contains': ['384.d1', '384.g1', '384.h1', '384.bq1', '384.br1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1179562545343134, 1], 'label': '1536.408640176.192.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.be1', 'old_label': '192.t1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.t1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616968
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.u1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.t1', '96.cp1', '96.cu1'], 'contains': ['384.d1', '384.i1', '384.bs1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [442804380649, 85621839531960, 1], 'label': '1536.408640176.192.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.g1', 'old_label': '192.u1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.u1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616971
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.cp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.k1', '6.n1'], 'contains': ['24.ha1', '24.hb1', '24.hc1', '24.hi1', '24.hl1', '24.hn1', '24.ho1'], 'core': '96.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 86082708280015, 1558054135131894, 1821708766832454, 359890668370854, 1179562545343135], 'label': '1536.408640176.12.cp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cp1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62616972
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.x1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.o1', '96.p1', '96.co1', '96.ct1', '96.cx1'], 'contains': ['384.e1', '384.f1', '384.bx1', '384.by1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1, 359903140794049], 'label': '1536.408640176.192.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.x1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.x1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616973
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.y1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bh1', '96.cp1', '96.cv1', '96.cx1', '96.cy1'], 'contains': ['384.f1', '384.i1', '384.bz1', '384.ch1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 1, 795776023551774], 'label': '1536.408640176.192.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '192.y1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.y1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616974
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.z1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bj1', '96.cq1', '96.cv1', '96.cx1', '96.cy1'], 'contains': ['384.f1', '384.ci1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [381592221980521, 1, 795776023551774], 'label': '1536.408640176.192.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '192.z1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.z1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616975
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.ba1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.c1', '96.bk1', '96.co1', '96.cs1', '96.cy1'], 'contains': ['384.f1', '384.ca1', '384.cj1'], 'core': '768.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1821708766832454, 360345418241760, 1], 'label': '1536.408640176.192.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '192.ba1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ba1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62616976
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.ba2', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.c2', '96.bk1', '96.cr1', '96.ct1'], 'contains': ['384.f1', '384.ca2', '384.cj2'], 'core': '768.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [486919748214, 1821708766832454, 1], 'label': '1536.408640176.192.ba2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '192.ba2', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ba2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 62616977
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.bb1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bn1', '96.cu1', '96.cz1'], 'contains': ['384.g1', '384.i1', '384.cb1', '384.ce1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 2587635382200510, 1], 'label': '1536.408640176.192.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.k1', 'old_label': '192.bb1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bb1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616978
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.bc1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.bj1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bq1', '96.cw1', '96.cz1'], 'contains': ['384.g1', '384.cf1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [2587635382200510, 1, 1286031869723215], 'label': '1536.408640176.192.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1', 'old_label': '192.bc1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616979
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.bd1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '48.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.d1', '96.br1', '96.cz1'], 'contains': ['384.g1', '384.cc1', '384.cg1'], 'core': '768.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894, 1], 'label': '1536.408640176.192.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1', 'old_label': '192.bd1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bd1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62616980
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.be1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bt1', '96.cu1'], 'contains': ['384.h1', '384.i1', '384.cd1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [85621839531960, 1558403286670945, 1], 'label': '1536.408640176.192.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.y1', 'old_label': '192.be1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.be1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616981
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.e1', '96.da1', '96.da2', '96.dd1', '96.dd2', '96.dj1', '96.dj2'], 'contains': ['384.j1', '384.k1', '384.n1', '384.bj1', '384.bk1', '384.bl1', '384.bm1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123927], 'label': '1536.408640176.192.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.bf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616982
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.cq1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.j1', '6.n1', '6.o1'], 'contains': ['24.he1', '24.hf1', '24.hg1', '24.hh1', '24.hk1', '24.hn1', '24.ho1'], 'core': '96.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 486919748214, 1558054135131894, 1821708766832454, 359890668370854, 85621839531961], 'label': '1536.408640176.12.cq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cq1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62616983
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.f1', '96.db1', '96.dc1', '96.dd1', '96.dd2', '96.dj2'], 'contains': ['384.j1', '384.l1', '384.n2', '384.bj1', '384.bk1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 359890668370855], 'label': '1536.408640176.192.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.bg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616984
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.g1', '96.da1', '96.da2', '96.dj2'], 'contains': ['384.j1', '384.m1', '384.n2', '384.bl1', '384.bm1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 359890668370855], 'label': '1536.408640176.192.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.bh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616985
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.k1', '96.db1'], 'contains': ['384.j1', '384.q1', '384.bn1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [85621839531960, 795340005803407, 795533260052209], 'label': '1536.408640176.192.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.j1', 'old_label': '192.bi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616986
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.bj1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '48.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.m1', '96.dn1', '96.dn2'], 'contains': ['384.k1', '384.o2', '384.p2', '384.bq1', '384.br1', '384.bv1', '384.bw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1822300402411441, 1179562545343134, 359890668370855], 'label': '1536.408640176.192.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.ch1', 'old_label': '192.bj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bj1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616987
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bk1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.o1', '96.da1', '96.da2', '96.dt1', '96.dt2'], 'contains': ['384.k1', '384.m1', '384.n1', '384.bo1', '384.bp1', '384.bx1', '384.by1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795527018642215, 486919748214, 1822337812123927], 'label': '1536.408640176.192.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.bk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bk1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616988
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bl1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.p1', '96.da1', '96.dd1', '96.de1', '96.dt1'], 'contains': ['384.k1', '384.n2', '384.bo1', '384.bu1', '384.by1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 359890668370855, 50346753847], 'label': '1536.408640176.192.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.bl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bl1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616989
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bl2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.p1', '96.da2', '96.dd2', '96.dt1'], 'contains': ['384.k1', '384.n2', '384.bp1', '384.bt1', '384.bx1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 359890668370855], 'label': '1536.408640176.192.bl2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.bl2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bl2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616990
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bm1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.q1', '96.df1', '96.dn2'], 'contains': ['384.l1', '384.o1', '384.p1', '384.bq1', '384.br1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1179562545343134, 1822337812123927], 'label': '1536.408640176.192.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.be1', 'old_label': '192.bm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bm1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616992
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bo1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.w1', '96.dd1', '96.dd2', '96.dt1', '96.dt2'], 'contains': ['384.k1', '384.l1', '384.n1', '384.bo1', '384.bp1', '384.bt1', '384.bu1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123927], 'label': '1536.408640176.192.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.bo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bo1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616993
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.cr1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '6.k1', '6.o1'], 'contains': ['24.d1', '24.hj1', '24.hm1', '24.hn1', '24.ho1', '24.hp1', '24.hq1'], 'core': '24.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1179562545343134, 86082708280015, 1558054135131894, 1821708766832454, 359890668370854], 'label': '1536.408640176.12.cr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cr1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62616994
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bp1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bh1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.x1', '96.dg1', '96.dn2'], 'contains': ['384.m1', '384.o1', '384.p1', '384.bv1', '384.bw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795527018642215, 1179562545343134, 1822337812123927], 'label': '1536.408640176.192.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bh1', 'old_label': '192.bp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bp1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616995
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.bq1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bh1', '96.db1', '96.de1', '96.dh1'], 'contains': ['384.n2', '384.q1', '384.bz1', '384.ch1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 795776023551774, 795533260052209], 'label': '1536.408640176.192.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '192.bq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bq1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616996
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.br1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bj1', '96.dc1', '96.de1', '96.dh1'], 'contains': ['384.n2', '384.ci1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [85634286366367, 293647592166, 795533260052209], 'label': '1536.408640176.192.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '192.br1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.br1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616997
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bs1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bk1', '96.da1', '96.dd2', '96.ea1'], 'contains': ['384.n1', '384.n2', '384.ca1', '384.ca2', '384.cj2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1821708766832454, 1822337812123927], 'label': '1536.408640176.192.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.bs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bs1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62616998
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bs2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bk1', '96.da2', '96.dd1', '96.dh1', '96.ea1'], 'contains': ['384.n1', '384.n2', '384.ca1', '384.ca2', '384.cj1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821708766832454, 1822337812123927, 360345418241760], 'label': '1536.408640176.192.bs2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.bs2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bs2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62616999
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.bt1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bn1', '96.df1', '96.di1'], 'contains': ['384.o1', '384.q1', '384.cb1', '384.ce1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 2587635382200510, 795533260052209], 'label': '1536.408640176.192.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.k1', 'old_label': '192.bt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bt1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617000
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.bu1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.bj1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bq1', '96.dg1', '96.di1'], 'contains': ['384.o1', '384.cf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [2292759663720169, 4466613129942960, 795533260052209], 'label': '1536.408640176.192.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1', 'old_label': '192.bu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617001
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.bv1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.br1', '96.di1', '96.ef1'], 'contains': ['384.o1', '384.o2', '384.cc1', '384.cg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894, 1822337812123927], 'label': '1536.408640176.192.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.cv1', 'old_label': '192.bv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bv1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617002
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.bw1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bt1', '96.df1'], 'contains': ['384.p1', '384.q1', '384.cd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [85621839531960, 3437280887168935, 795533260052209], 'label': '1536.408640176.192.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.y1', 'old_label': '192.bw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bw1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617003
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.bx1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '96.dj1', '96.dj2', '96.dk1', '96.dl1', '96.dm1'], 'contains': ['384.j1', '384.r1', '384.s1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370855], 'label': '1536.408640176.192.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '192.bx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bx1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617004
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '192.1472', 'aut_weyl_index': 64, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '4.e1', '4.f1'], 'contains': ['32.a1', '32.b1', '32.g1', '48.cf1', '64.b1'], 'core': '96.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 83903140502304, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.16.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '16.a1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617005
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.cf1', '96.dj1', '96.dn1', '96.do1', '96.dp1', '96.dq1', '96.dr1', '96.dt1'], 'contains': ['384.k1', '384.r1', '384.u1', '384.v1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [281175158881, 1822337812123927, 359890668370854], 'label': '1536.408640176.192.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.by1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617006
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.by2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cf1', '96.dj2', '96.dn2', '96.ds1', '96.dt1', '96.dt2'], 'contains': ['384.k1', '384.l1', '384.m1', '384.r1', '384.t1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 359890668370855], 'label': '1536.408640176.192.by2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '192.by2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617007
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cg1', '96.dj1', '96.dt2', '96.du1', '96.dw1', '96.dy1', '96.dy2', '96.dz1', '96.ea1'], 'contains': ['384.n1', '384.r1', '384.w2', '384.ba2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123927, 359890668370854], 'label': '1536.408640176.192.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '192.bz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617008
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.bz2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cg1', '96.dj2', '96.dt1', '96.dv1', '96.dx1', '96.ea1'], 'contains': ['384.n1', '384.n2', '384.r1', '384.w1', '384.ba1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 359890668370855], 'label': '1536.408640176.192.bz2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '192.bz2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617009
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.ch1', '96.dk1', '96.dn1', '96.du1', '96.ec1', '96.ec2', '96.ed1', '96.ee1', '96.ef1'], 'contains': ['384.o2', '384.r1', '384.x1', '384.z1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370855], 'label': '1536.408640176.192.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '192.ca1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617010
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.ca2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.ch1', '96.dn2', '96.do1', '96.dv1', '96.eb1', '96.ef1'], 'contains': ['384.o1', '384.o2', '384.r1', '384.x2', '384.z2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 795533260052208, 1822337812123927], 'label': '1536.408640176.192.ca2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '192.ca2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617011
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.cb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.ci1', '96.dl1', '96.dn1', '96.dw1', '96.eb1', '96.eg1'], 'contains': ['384.p2', '384.r1', '384.y1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 359890668370855, 4088271101448655], 'label': '1536.408640176.192.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '192.cb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617012
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.cb2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.ci1', '96.dn2', '96.dp1', '96.dx1', '96.eh1', '96.ei1'], 'contains': ['384.p1', '384.p2', '384.r1', '384.y2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795533260052208, 1822337812123927, 4088271101448655], 'label': '1536.408640176.192.cb2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '192.cb2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cb2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617013
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.cc1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.cj1', '96.dm1', '96.dq1', '96.dy1', '96.dy2', '96.ec1', '96.ec2', '96.eg1', '96.ej1', '96.ek1', '96.ek2'], 'contains': ['384.r1', '384.bb1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 1822337812123927], 'label': '1536.408640176.192.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.cc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cc1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617014
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.cd1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.bn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.ck1', '96.dk1', '96.dr1', '96.dw1', '96.eh1', '96.ej1'], 'contains': ['384.r1', '384.bc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 359890668370855], 'label': '1536.408640176.192.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '192.cd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cd1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617015
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '192.955', 'aut_weyl_index': 64, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '8.b1', '8.f1'], 'contains': ['32.i1', '48.a1', '64.a1', '64.c1', '64.c2'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832454, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.16.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '16.b1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 62617016
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.ce1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cl1', '96.dl1', '96.dr1', '96.du1', '96.ei1', '96.ek1', '96.ek2', '96.el1', '96.em1'], 'contains': ['384.r1', '384.bd1', '384.be1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 1822337812123927], 'label': '1536.408640176.192.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '192.ce1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ce1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617017
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.cf1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cm1', '96.dp1', '96.ds1', '96.dv1', '96.eh1', '96.el1'], 'contains': ['384.r1', '384.bg1', '384.bh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1822337812123927], 'label': '1536.408640176.192.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '192.cf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cf1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617018
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.cg1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bk1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cn1', '96.do1', '96.ds1', '96.dx1', '96.eb1', '96.ed1'], 'contains': ['384.r1', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123927, 359890668370854, 1179681327544015], 'label': '1536.408640176.192.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '192.cg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cg1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617019
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.ch1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.e1', '96.dj2', '96.en1', '96.en2', '96.fa1', '96.fa2', '96.ih1'], 'contains': ['384.s1', '384.t1', '384.w1', '384.bj1', '384.bl1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748215], 'label': '1536.408640176.192.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.ch1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ch1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617020
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.ci1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.e1', '96.dj2', '96.en2', '96.eo1', '96.fa2', '96.fb1', '96.ii1'], 'contains': ['384.s1', '384.t1', '384.ba1', '384.bk1', '384.bm1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926], 'label': '1536.408640176.192.ci1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.ci1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ci1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617021
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.cj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.f1', '96.dj1', '96.ep1', '96.eq1', '96.er1', '96.es1', '96.et1', '96.fa2', '96.ih1'], 'contains': ['384.s1', '384.u1', '384.w2', '384.bj1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 359890668370854, 486919748215], 'label': '1536.408640176.192.cj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '192.cj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cj1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617022
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.ck1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.f1', '96.dj1', '96.eu1', '96.ev1', '96.ew1', '96.ex1', '96.ey1', '96.ez1', '96.fa1', '96.fb1', '96.ii1'], 'contains': ['384.s1', '384.u1', '384.ba2', '384.bk1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 359890668370854], 'label': '1536.408640176.192.ck1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '192.ck1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ck1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617023
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.cl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.g1', '96.dj1', '96.en2', '96.fc1', '96.fd1', '96.fe1', '96.fe2', '96.ih1'], 'contains': ['384.s1', '384.v1', '384.w2', '384.bl1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821696294037009, 359890668370854, 486919748215], 'label': '1536.408640176.192.cl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '192.cl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cl1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617024
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.cm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.g1', '96.dj1', '96.en1', '96.eo1', '96.ff1', '96.fg1', '96.fh1', '96.fh2', '96.fi1', '96.ii1'], 'contains': ['384.s1', '384.v1', '384.ba2', '384.bm1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 359890668370854], 'label': '1536.408640176.192.cm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '192.cm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cm1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617025
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.cn1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.h1', '96.dk1', '96.ep1', '96.eu1', '96.fc1', '96.ff1', '96.fj1', '96.fk1', '96.ij1'], 'contains': ['384.s1', '384.x1', '384.bc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343135], 'label': '1536.408640176.192.cn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.cn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cn1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617026
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1536.408560461', 'aut_weyl_index': 8, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['8.d1', '8.h1', '8.j1', '12.p1', '16.a1'], 'core': '24.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [85621839531960, 83903140502304, 359890668370854, 3867638933942910, 4087853328153270, 1822337812123926, 735925060135, 1], 'label': '1536.408640176.4.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1', 'old_label': '4.f1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 62617027
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.5678', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '8.c1', '8.g1'], 'contains': ['32.h1', '48.b1', '64.a1', '64.d1'], 'core': '48.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131894, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.16.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '16.c1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '192.955'}
  • id: 62617028
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.co1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.i1', '96.dl1', '96.eq1', '96.eu1', '96.fd1', '96.ff1', '96.fl1', '96.fn1', '96.ik1'], 'contains': ['384.s1', '384.y1', '384.bd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 4087853328153271], 'label': '1536.408640176.192.co1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.co1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.co1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617029
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.cp1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.i1', '96.dl1', '96.ep1', '96.ev1', '96.fc1', '96.fg1', '96.fm1', '96.fo1', '96.il1'], 'contains': ['384.s1', '384.y1', '384.be1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 4466674913186214, 795533260052208], 'label': '1536.408640176.192.cp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.cp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cp1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617030
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.cq1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.h1', '96.dk1', '96.eq1', '96.ev1', '96.fd1', '96.fg1', '96.fp1', '96.fq1', '96.im1'], 'contains': ['384.s1', '384.z1', '384.bc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134], 'label': '1536.408640176.192.cq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.cq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cq1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617031
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.cr1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.i1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.j1', '96.dm1', '96.er1', '96.ew1', '96.fe1', '96.fh1', '96.fj1', '96.fk1', '96.fl1', '96.fm1', '96.fn1', '96.fo1', '96.fp1', '96.fq1', '96.in1'], 'contains': ['384.s1', '384.bb1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1821696294037009, 795533260052208, 85621839531961], 'label': '1536.408640176.192.cr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.cr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cr1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617032
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.cs1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.k1', '96.dm1', '96.es1', '96.ex1', '96.fe2', '96.fh2', '96.fk1', '96.fn1', '96.fo1', '96.fq1', '96.in1'], 'contains': ['384.s1', '384.bb1', '384.bn1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 795533260052208, 85621839531961], 'label': '1536.408640176.192.cs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.cs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cs1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617033
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.ct1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.l1', '96.dm1', '96.et1', '96.ey1', '96.fe2', '96.fh2', '96.fj1', '96.fl1', '96.fm1', '96.fp1', '96.in1'], 'contains': ['384.s1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 1779365212353055, 795533260052208], 'label': '1536.408640176.192.ct1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.ct1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ct1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617034
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.cu1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.m1', '96.dn2', '96.fr1', '96.ft1', '96.gq1', '96.gs1', '96.iq1'], 'contains': ['384.t1', '384.x2', '384.y2', '384.bq1', '384.bv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 795533260052208, 1179562545343135], 'label': '1536.408640176.192.cu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '192.cu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cu1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617035
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.cv1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.m1', '96.dn2', '96.fs1', '96.fu1', '96.gr1', '96.gt1', '96.is1'], 'contains': ['384.t1', '384.y2', '384.z2', '384.br1', '384.bw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 1179562545343134, 795533260052208], 'label': '1536.408640176.192.cv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '192.cv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cv1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617036
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.cw1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.co1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.n1', '96.ds1', '96.fr1', '96.fu1', '96.gq1', '96.gt1', '96.jd1'], 'contains': ['384.t1', '384.bg1', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 1179756178121070, 795533260052208], 'label': '1536.408640176.192.cw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '192.cw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cw1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617037
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.cx1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.co1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.n1', '96.ds1', '96.fs1', '96.ft1', '96.gr1', '96.gs1', '96.je1'], 'contains': ['384.t1', '384.bh1', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 1179756178121071, 795533260052208], 'label': '1536.408640176.192.cx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '192.cx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cx1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617038
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.5677', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '8.d1', '8.h1'], 'contains': ['32.j1', '48.c1', '64.a1'], 'core': '48.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1822337812123926, 83903140502304, 359890668370854, 1, 4087853328153270, 3867638933942910], 'label': '1536.408640176.16.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1', 'old_label': '16.d1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 62617039
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.cy1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.o1', '96.dt1', '96.en1', '96.en2', '96.fr1', '96.fs1', '96.jf1'], 'contains': ['384.t1', '384.v1', '384.w1', '384.bo1', '384.bx1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795527018642215, 1822337812123926, 486919748215], 'label': '1536.408640176.192.cy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '192.cy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cy1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617040
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.cz1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.o1', '96.dt1', '96.en2', '96.eo1', '96.ft1', '96.fu1', '96.jg1'], 'contains': ['384.t1', '384.v1', '384.ba1', '384.bp1', '384.by1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795527018642215, 486919748214, 1822337812123926], 'label': '1536.408640176.192.cz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '192.cz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cz1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617041
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.da1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.p1', '96.dt2', '96.en2', '96.fa2', '96.jf1'], 'contains': ['384.t1', '384.w2', '384.bo1', '384.bt1', '384.bx1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 359890668370854, 486919748215], 'label': '1536.408640176.192.da1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.da1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.da1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617042
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.db1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.p1', '96.dt2', '96.en1', '96.eo1', '96.fa1', '96.fb1', '96.fv1', '96.fw1', '96.jg1'], 'contains': ['384.t1', '384.ba2', '384.bp1', '384.bu1', '384.by1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 359890668370854], 'label': '1536.408640176.192.db1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.db1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.db1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617043
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.dc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.be1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.q1', '96.dn1', '96.ep1', '96.eu1', '96.fx1', '96.fy1', '96.fz1', '96.ga2', '96.iq1'], 'contains': ['384.u1', '384.x1', '384.y1', '384.bq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343135], 'label': '1536.408640176.192.dc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '192.dc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dc1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617044
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.dd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.r1', '96.do1', '96.ga1', '96.ga2', '96.gq1', '96.gs1', '96.ir1'], 'contains': ['384.u1', '384.x2', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [281175158881, 359890668370854, 1179562545343135], 'label': '1536.408640176.192.dd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '192.dd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dd1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617045
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.de1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.be1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.q1', '96.dn1', '96.eq1', '96.ev1', '96.ga1', '96.gb1', '96.gc1', '96.gd1', '96.ge1', '96.gf1', '96.is1'], 'contains': ['384.u1', '384.y1', '384.z1', '384.br1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134], 'label': '1536.408640176.192.de1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '192.de1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.de1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617046
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.df1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.s1', '96.dp1', '96.gg1', '96.gh1', '96.gq1', '96.gt1', '96.it1'], 'contains': ['384.u1', '384.y2', '384.bg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1179581701804201], 'label': '1536.408640176.192.df1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '192.df1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.df1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617047
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.dg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.s1', '96.dp1', '96.gg1', '96.gi1', '96.gr1', '96.gs1', '96.iu1'], 'contains': ['384.u1', '384.y2', '384.bh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179756178121071, 795533260052208, 442804380649], 'label': '1536.408640176.192.dg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '192.dg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dg1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617048
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.dh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.r1', '96.do1', '96.ga2', '96.gf1', '96.gr1', '96.gt1', '96.iv1'], 'contains': ['384.u1', '384.z2', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 281175158881, 359890668370854], 'label': '1536.408640176.192.dh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '192.dh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dh1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617050
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.di1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.t1', '96.dq1', '96.er1', '96.es1', '96.ew1', '96.ex1', '96.fx1', '96.fy1', '96.gb1', '96.gc1', '96.gj1', '96.gk1', '96.gl1', '96.gm1', '96.iw1'], 'contains': ['384.u1', '384.bb1', '384.bs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 442804380649, 85621839531961], 'label': '1536.408640176.192.di1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.di1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.di1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617051
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.dj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bo1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.u1', '96.dr1', '96.eq1', '96.eu1', '96.gg1', '96.gj1', '96.gl1', '96.gn1', '96.ix1'], 'contains': ['384.u1', '384.bc1', '384.bd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 4087853328153271], 'label': '1536.408640176.192.dj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '192.dj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dj1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617052
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.dk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bo1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.u1', '96.dr1', '96.ep1', '96.ev1', '96.gh1', '96.gi1', '96.gk1', '96.gm1', '96.go1', '96.gp1', '96.iy1'], 'contains': ['384.u1', '384.bc1', '384.be1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 442804380649], 'label': '1536.408640176.192.dk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '192.dk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dk1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617053
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.dl1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.v1', '96.dq1', '96.er1', '96.et1', '96.ew1', '96.ey1', '96.fx1', '96.fz1', '96.gb1', '96.gd1', '96.gj1', '96.gk1', '96.gn1', '96.go1', '96.iw1'], 'contains': ['384.u1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779365212353055, 795533260052208, 442804380649], 'label': '1536.408640176.192.dl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.dl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dl1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617054
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.dm1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.w1', '96.dt1', '96.fa1', '96.fa2', '96.gq1', '96.gr1', '96.jf1'], 'contains': ['384.t1', '384.u1', '384.w1', '384.bo1', '384.bt1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 486919748215], 'label': '1536.408640176.192.dm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '192.dm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dm1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617055
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.dn1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.w1', '96.dt1', '96.fa2', '96.fb1', '96.gs1', '96.gt1', '96.jg1'], 'contains': ['384.t1', '384.u1', '384.ba1', '384.bp1', '384.bu1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123926], 'label': '1536.408640176.192.dn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '192.dn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dn1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617056
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.do1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bh1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.x1', '96.dn1', '96.fc1', '96.ff1', '96.gu1', '96.gu2', '96.gv2', '96.iq1'], 'contains': ['384.v1', '384.x1', '384.y1', '384.bv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795527018642215, 1822337812123926, 1179562545343135], 'label': '1536.408640176.192.do1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '192.do1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.do1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617057
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.dp1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.y1', '96.do1', '96.fr1', '96.ft1', '96.gv1', '96.gv2', '96.ir1'], 'contains': ['384.v1', '384.x2', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822057638927127, 359890668370854, 1179562545343135], 'label': '1536.408640176.192.dp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '192.dp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dp1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617058
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.dq1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bh1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.x1', '96.dn1', '96.fd1', '96.fg1', '96.gv1', '96.gw1', '96.gw2', '96.gx1', '96.gy1', '96.is1'], 'contains': ['384.v1', '384.y1', '384.z1', '384.bw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795527018642215, 1822337812123926, 1179562545343134], 'label': '1536.408640176.192.dq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '192.dq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dq1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617059
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.dr1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.z1', '96.dp1', '96.fr1', '96.fu1', '96.gz1', '96.ha1', '96.it1'], 'contains': ['384.v1', '384.y2', '384.bg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 4088271101448655], 'label': '1536.408640176.192.dr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '192.dr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dr1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617060
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '192.1472', 'aut_weyl_index': 64, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1'], 'contains': ['32.c1', '32.e1', '32.l1', '48.dv1', '64.b1'], 'core': '768.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [83903140502304, 85621839531960, 723416299248, 486919748214, 735925060135, 1], 'label': '1536.408640176.16.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.f1', 'old_label': '16.f1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617061
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.ds1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.z1', '96.dp1', '96.fs1', '96.ft1', '96.gz1', '96.hb1', '96.iu1'], 'contains': ['384.v1', '384.y2', '384.bh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1179756178121071, 795533260052208], 'label': '1536.408640176.192.ds1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '192.ds1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ds1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617062
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.dt1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.y1', '96.do1', '96.fs1', '96.fu1', '96.gv2', '96.gy1', '96.iv1'], 'contains': ['384.v1', '384.z2', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 1822057638927127, 359890668370854], 'label': '1536.408640176.192.dt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '192.dt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dt1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617063
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.du1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.h1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.ba1', '96.dq1', '96.fe1', '96.fe2', '96.fh1', '96.fh2', '96.gu1', '96.gu2', '96.gw1', '96.gw2', '96.hc1', '96.hc2', '96.hd1', '96.hd2', '96.iw1'], 'contains': ['384.v1', '384.bb1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1821901758068215, 795533260052208, 85621839531961], 'label': '1536.408640176.192.du1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.du1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.du1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617064
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.dv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bb1', '96.dr1', '96.fd1', '96.ff1', '96.gz1', '96.hc1', '96.hc2', '96.ix1'], 'contains': ['384.v1', '384.bc1', '384.bd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795527018642215, 1822337812123926, 4087853328153271], 'label': '1536.408640176.192.dv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '192.dv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dv1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617065
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.dw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bb1', '96.dr1', '96.fc1', '96.fg1', '96.ha1', '96.hb1', '96.hd1', '96.hd2', '96.he1', '96.iy1'], 'contains': ['384.v1', '384.bc1', '384.be1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 4466674913186214, 795533260052208], 'label': '1536.408640176.192.dw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '192.dw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dw1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617066
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.dx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bc1', '96.du1', '96.ep1', '96.fc1', '96.hf1', '96.hg1', '96.jh1'], 'contains': ['384.w2', '384.x1', '384.be1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822051397507041, 4466674913186214, 795533260052208], 'label': '1536.408640176.192.dx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.dx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dx1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617067
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.dy1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bd1', '96.dv1', '96.fr1', '96.gq1', '96.ji1'], 'contains': ['384.w1', '384.x2', '384.bg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1179562545343135], 'label': '1536.408640176.192.dy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '192.dy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dy1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617068
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.dz1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.be1', '96.dw1', '96.ep1', '96.eq1', '96.fc1', '96.fd1', '96.hh1', '96.hi1', '96.jj1'], 'contains': ['384.w2', '384.y1', '384.bc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3867807024594391, 359890668370854, 486919748215], 'label': '1536.408640176.192.dz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.dz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dz1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617069
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ea1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bf1', '96.dx1', '96.fr1', '96.fs1', '96.gq1', '96.gr1', '96.jk1'], 'contains': ['384.w1', '384.y2', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 486919748215, 4088271101448655], 'label': '1536.408640176.192.ea1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '192.ea1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ea1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617070
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.eb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bc1', '96.du1', '96.eq1', '96.fd1', '96.hj1', '96.hk1', '96.jl1'], 'contains': ['384.w2', '384.z1', '384.bd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 1179562545343134], 'label': '1536.408640176.192.eb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.eb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.eb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617071
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.955', 'aut_weyl_index': 64, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '8.b1', '8.i1'], 'contains': ['32.i1', '48.d1', '64.e1', '64.g1', '64.h1'], 'core': '48.d1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1821708766832454, 83903140502304, 359890668370854], 'label': '1536.408640176.16.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '16.g1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 62617072
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.ec1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bd1', '96.dv1', '96.fs1', '96.gr1', '96.jm1'], 'contains': ['384.w1', '384.z2', '384.bh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 795533260052208, 486919748215], 'label': '1536.408640176.192.ec1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '192.ec1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ec1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617073
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ed1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bg1', '96.dy2', '96.er1', '96.fe2', '96.hf1', '96.hg1', '96.hh1', '96.hi1', '96.hj1', '96.hk1', '96.jn1'], 'contains': ['384.w2', '384.bb1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822051397507041, 86082708280015, 795533260052208], 'label': '1536.408640176.192.ed1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.ed1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ed1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617074
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ee1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bh1', '96.dy1', '96.es1', '96.fe1', '96.hg1', '96.hi1', '96.hk1', '96.jn1'], 'contains': ['384.w2', '384.bb1', '384.bz1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 293647592167], 'label': '1536.408640176.192.ee1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.ee1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ee1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617075
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ef1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bi1', '96.dy1', '96.et1', '96.fe1', '96.hf1', '96.hh1', '96.hj1', '96.jn1'], 'contains': ['384.w2', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779421385188801, 795533260052208, 293647592167], 'label': '1536.408640176.192.ef1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.ef1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ef1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617076
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.eg1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bk1', '96.ea1', '96.en1', '96.fa1', '96.hl1', '96.hm1', '96.jt1'], 'contains': ['384.w1', '384.ba2', '384.ca1', '384.ca2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1821708766832455, 359890668370854], 'label': '1536.408640176.192.eg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.eg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.eg1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617077
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.eg2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bk1', '96.ea1', '96.en2', '96.fa2', '96.jt1'], 'contains': ['384.w1', '384.w2', '384.ba1', '384.ca1', '384.ca2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832455], 'label': '1536.408640176.192.eg2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.eg2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.eg2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617078
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.eh1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bl1', '96.eb1', '96.ga1', '96.ga2', '96.gv1', '96.gv2', '96.ju1'], 'contains': ['384.x2', '384.y1', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1558496612582695, 359890668370854, 1179562545343135], 'label': '1536.408640176.192.eh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bl1', 'old_label': '192.eh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.eh1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617079
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.ei1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bc1', '96.du1', '96.eu1', '96.ff1', '96.hn1', '96.ho1', '96.jv1'], 'contains': ['384.x1', '384.ba2', '384.bd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 3867165506497375, 359890668370854], 'label': '1536.408640176.192.ei1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.ei1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ei1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617080
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.ej1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bd1', '96.dv1', '96.ft1', '96.gs1', '96.jw1'], 'contains': ['384.x2', '384.ba1', '384.bh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 795533260052208, 1179562545343135], 'label': '1536.408640176.192.ej1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '192.ej1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ej1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617081
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ek1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.x1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bm1', '96.ec2', '96.fj1', '96.fk1', '96.fx1', '96.gu2', '96.hf1', '96.hg1', '96.hn1', '96.ho1', '96.jx1'], 'contains': ['384.x1', '384.bb1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 1558054135131895], 'label': '1536.408640176.192.ek1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.ek1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ek1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617082
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '384.5677', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '8.d1', '8.j1'], 'contains': ['32.j1', '48.e1', '64.e1'], 'core': '48.e1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 83903140502304, 359890668370854, 4087853328153270, 3867638933942910], 'label': '1536.408640176.16.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1', 'old_label': '16.h1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 62617083
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.el1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bn1', '96.ec1', '96.fk1', '96.fy1', '96.gu1', '96.hg1', '96.ho1', '96.jx1'], 'contains': ['384.x1', '384.bb1', '384.cb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [4466613129942961, 86082708280015, 795533260052208], 'label': '1536.408640176.192.el1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.el1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.el1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617084
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.em1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.z1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bo1', '96.ec1', '96.fj1', '96.fz1', '96.gu1', '96.hf1', '96.hn1', '96.jx1'], 'contains': ['384.x1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [4466613129942961, 1779421385188801, 795533260052208], 'label': '1536.408640176.192.em1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.em1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.em1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617085
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.en1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.df1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bp1', '96.ed1', '96.ga2', '96.gv2', '96.kc1'], 'contains': ['384.x1', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 4466581508513575, 1179562545343135], 'label': '1536.408640176.192.en1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bl1', 'old_label': '192.en1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.en1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617086
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.eo1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.br1', '96.ef1', '96.ga1', '96.gv1', '96.hp1', '96.hq1', '96.kd1'], 'contains': ['384.x2', '384.z1', '384.cc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131895], 'label': '1536.408640176.192.eo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '192.eo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.eo1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617087
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.eo2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.br1', '96.ef1', '96.ga2', '96.gv2', '96.kd1'], 'contains': ['384.x1', '384.x2', '384.z2', '384.cc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 795533260052208, 1558054135131895], 'label': '1536.408640176.192.eo2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bl1', 'old_label': '192.eo2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.eo2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617088
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ep1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bl1', '96.eb1', '96.ga2', '96.gf1', '96.gv2', '96.gy1', '96.ke1'], 'contains': ['384.y1', '384.z2', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179562545343134, 1558496612582695, 359890668370854], 'label': '1536.408640176.192.ep1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bl1', 'old_label': '192.ep1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ep1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617089
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.eq1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.be1', '96.dw1', '96.eu1', '96.ev1', '96.ff1', '96.fg1', '96.hr1', '96.hs1', '96.kf1'], 'contains': ['384.y1', '384.ba2', '384.bc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 3867807024594391, 359890668370854], 'label': '1536.408640176.192.eq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.eq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.eq1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617090
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.er1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bf1', '96.dx1', '96.ft1', '96.fu1', '96.gs1', '96.gt1', '96.kg1'], 'contains': ['384.y2', '384.ba1', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 795533260052208, 4088271101448655], 'label': '1536.408640176.192.er1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '192.er1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.er1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617091
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.es1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.x1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.bs1', '96.eg1', '96.fl1', '96.fm1', '96.fn1', '96.fo1', '96.fx1', '96.gb1', '96.gu1', '96.gw1', '96.hh1', '96.hi1', '96.hr1', '96.hs1', '96.kh1'], 'contains': ['384.y1', '384.bb1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [795533260052208, 4466787406313791, 85621839531961], 'label': '1536.408640176.192.es1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.es1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.es1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617092
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.et1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bt1', '96.eg1', '96.fn1', '96.fo1', '96.fy1', '96.gc1', '96.gu2', '96.gw2', '96.hi1', '96.hs1', '96.kh1'], 'contains': ['384.y1', '384.bb1', '384.cd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 1558403286670945, 85621839531961], 'label': '1536.408640176.192.et1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.et1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.et1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617093
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '384.5678', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '8.c1', '8.k1'], 'contains': ['32.h1', '48.f1', '64.e1'], 'core': '48.f1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 83903140502304, 359890668370854], 'label': '1536.408640176.16.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '16.i1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': '192.955'}
  • id: 62617094
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.eu1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.di1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bu1', '96.eh1', '96.gg1', '96.gh1', '96.gz1', '96.ha1', '96.ki1'], 'contains': ['384.y2', '384.bc1', '384.bg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1558328574027631], 'label': '1536.408640176.192.eu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bn1', 'old_label': '192.eu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.eu1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617095
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ev1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.di1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bu1', '96.eh1', '96.gg1', '96.gi1', '96.gz1', '96.hb1', '96.kj1'], 'contains': ['384.y2', '384.bc1', '384.bh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179756178121071, 795533260052208, 1558328574027631], 'label': '1536.408640176.192.ev1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bn1', 'old_label': '192.ev1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ev1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617096
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.ew1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.z1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bv1', '96.eg1', '96.fl1', '96.fm1', '96.fz1', '96.gd1', '96.gu2', '96.gw2', '96.hh1', '96.hr1', '96.kh1'], 'contains': ['384.y1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779365212353055, 795533260052208, 1558403286670945], 'label': '1536.408640176.192.ew1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.ew1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ew1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617097
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ex1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bw1', '96.ei1', '96.gg1', '96.gz1', '96.km1'], 'contains': ['384.y2', '384.bd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 4087853328153271, 4466787406313791], 'label': '1536.408640176.192.ex1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bn1', 'old_label': '192.ex1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ex1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617098
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ey1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bw1', '96.ei1', '96.gh1', '96.gi1', '96.ha1', '96.hb1', '96.ht1', '96.hu1', '96.kn1'], 'contains': ['384.y2', '384.be1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 4088271101448655], 'label': '1536.408640176.192.ey1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '192.ey1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ey1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617099
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.ez1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bc1', '96.du1', '96.ev1', '96.fg1', '96.hv1', '96.hw1', '96.ko1'], 'contains': ['384.z1', '384.ba2', '384.be1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 359890668370854, 3867165506497374], 'label': '1536.408640176.192.ez1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.ez1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ez1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617100
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.fa1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bd1', '96.dv1', '96.fu1', '96.gt1', '96.kp1'], 'contains': ['384.z2', '384.ba1', '384.bg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1179562545343134, 795533260052208], 'label': '1536.408640176.192.fa1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '192.fa1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fa1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617101
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fb1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.x1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bm1', '96.ec1', '96.fp1', '96.fq1', '96.gb1', '96.gw2', '96.hj1', '96.hk1', '96.hv1', '96.hw1', '96.kq1'], 'contains': ['384.z1', '384.bb1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 1558054135131894, 795533260052208], 'label': '1536.408640176.192.fb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.fb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617102
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fc1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bn1', '96.ec2', '96.fq1', '96.gc1', '96.gw1', '96.hk1', '96.hp1', '96.hw1', '96.hx1', '96.hz1', '96.kq1'], 'contains': ['384.z1', '384.bb1', '384.ce1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 4466613129942960], 'label': '1536.408640176.192.fc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '192.fc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fc1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617103
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.z1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bo1', '96.ec2', '96.fp1', '96.gd1', '96.gw1', '96.hj1', '96.hq1', '96.hv1', '96.hy1', '96.ia1', '96.kq1'], 'contains': ['384.z1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779421385188801, 795533260052208, 4466613129942960], 'label': '1536.408640176.192.fd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '192.fd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fd1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617104
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '192.1008', 'aut_weyl_index': 64, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '8.e1'], 'contains': ['32.k1', '48.hi1', '64.e1'], 'core': '192.b1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 83903140502304, 359890668370854, 4466419656786750], 'label': '1536.408640176.16.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '16.j1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': '96.71'}
  • id: 62617105
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fe1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.df1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bp1', '96.ed1', '96.ga1', '96.gf1', '96.gv1', '96.gy1', '96.hx1', '96.hy1', '96.kw1'], 'contains': ['384.z1', '384.bi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 4466581508513575], 'label': '1536.408640176.192.fe1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '192.fe1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fe1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617106
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ff1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.bj1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bq1', '96.ee1', '96.ge1', '96.gx1', '96.hp1', '96.hq1', '96.hx1', '96.hy1', '96.hz1', '96.ia1', '96.kx1'], 'contains': ['384.z1', '384.cf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 4466613129942960, 1286031869723215], 'label': '1536.408640176.192.ff1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '192.ff1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ff1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617107
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.fg1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1', '96.br1', '96.ef1', '96.gf1', '96.gy1', '96.hz1', '96.ia1'], 'contains': ['384.z1', '384.z2', '384.cg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131894], 'label': '1536.408640176.192.fg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '192.fg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fg1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617108
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fh1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bg1', '96.dy1', '96.ew1', '96.fh2', '96.hn1', '96.ho1', '96.hr1', '96.hs1', '96.hv1', '96.hw1', '96.ky1'], 'contains': ['384.ba2', '384.bb1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 1822051397507040], 'label': '1536.408640176.192.fh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.fh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fh1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617109
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fi1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bh1', '96.dy2', '96.ex1', '96.fh1', '96.fv1', '96.hl1', '96.ho1', '96.hs1', '96.hw1', '96.ib1', '96.ky1'], 'contains': ['384.ba2', '384.bb1', '384.ch1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 293647592166], 'label': '1536.408640176.192.fi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '192.fi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fi1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617110
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fj1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bi1', '96.dy2', '96.ey1', '96.fh1', '96.fw1', '96.hm1', '96.hn1', '96.hr1', '96.hv1', '96.ic1', '96.ky1'], 'contains': ['384.ba2', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779421385188801, 795533260052208, 293647592166], 'label': '1536.408640176.192.fj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '192.fj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fj1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617111
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fk1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bj1', '96.dz1', '96.ez1', '96.fi1', '96.fv1', '96.fw1', '96.hl1', '96.hm1', '96.ib1', '96.ic1', '96.lf1'], 'contains': ['384.ba2', '384.ci1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 85634286366367, 293647592166], 'label': '1536.408640176.192.fk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.fk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fk1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617112
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.fl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.c1', '96.bk1', '96.ea1', '96.eo1', '96.fb1', '96.ib1', '96.ic1'], 'contains': ['384.ba1', '384.ba2', '384.cj1', '384.cj2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832454], 'label': '1536.408640176.192.fl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.fl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fl1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617113
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.fm1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.bd1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.bx1', '96.ej1', '96.fj1', '96.fk1', '96.fp1', '96.fq1', '96.gj1', '96.gk1', '96.hc1', '96.hd1', '96.hh1', '96.hi1', '96.hr1', '96.hs1', '96.lg1'], 'contains': ['384.bb1', '384.bc1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [795533260052208, 85621839531961, 1558328574027631], 'label': '1536.408640176.192.fm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.fm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fm1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617114
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fn1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.bd1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.by1', '96.ek2', '96.fl1', '96.fn1', '96.gj1', '96.hc2', '96.hj1', '96.hk1', '96.hn1', '96.ho1', '96.lh1'], 'contains': ['384.bb1', '384.bd1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 4466674913186215], 'label': '1536.408640176.192.fn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.fn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fn1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617115
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '192.955', 'aut_weyl_index': 64, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '8.g1', '8.k1'], 'contains': ['32.h1', '48.me1', '64.f1', '64.i1'], 'core': '96.b1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 83903140502304, 359890668370854], 'label': '1536.408640176.16.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '16.k1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1', 'subgroup_fusion': None, 'weyl_group': '192.955'}
  • id: 62617116
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fo1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.bd1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.by1', '96.ek1', '96.fm1', '96.fo1', '96.gk1', '96.hd2', '96.hf1', '96.hg1', '96.hv1', '96.hw1', '96.li1'], 'contains': ['384.bb1', '384.be1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 4466674913186214, 795533260052208], 'label': '1536.408640176.192.fo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.fo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fo1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617117
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.fp1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.be1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bz1', '96.ej1', '96.fk1', '96.fq1', '96.gl1', '96.gm1', '96.hc2', '96.hd2', '96.hi1', '96.hs1', '96.lg1'], 'contains': ['384.bb1', '384.bc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [4466413418965225, 795533260052208, 85621839531961], 'label': '1536.408640176.192.fp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.fp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fp1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617118
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fq1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.be1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.ca1', '96.ek1', '96.fn1', '96.gl1', '96.hc1', '96.hk1', '96.ho1', '96.lh1'], 'contains': ['384.bb1', '384.bd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 1558502850424321, 795533260052208], 'label': '1536.408640176.192.fq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.fq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fq1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617119
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fr1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.be1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.ca1', '96.ek2', '96.fo1', '96.gm1', '96.hd1', '96.hg1', '96.ht1', '96.hw1', '96.id1', '96.ie1', '96.li1'], 'contains': ['384.bb1', '384.be1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1558502850424320, 86082708280015, 795533260052208], 'label': '1536.408640176.192.fr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '192.fr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fr1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617120
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '192.fs1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.bf1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.cb1', '96.ej1', '96.fj1', '96.fp1', '96.gn1', '96.go1', '96.hc2', '96.hd2', '96.hh1', '96.hr1', '96.lg1'], 'contains': ['384.bc1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779365212353055, 4466413418965225, 795533260052208], 'label': '1536.408640176.192.fs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.fs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fs1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617121
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.ft1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.bf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.cc1', '96.ek1', '96.fl1', '96.gn1', '96.hc1', '96.hj1', '96.hn1', '96.lh1'], 'contains': ['384.bd1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779421385188801, 1558502850424321, 795533260052208], 'label': '1536.408640176.192.ft1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.ft1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ft1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617122
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.fu1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cd1', '96.el1', '96.gg1', '96.gz1', '96.ln1'], 'contains': ['384.bd1', '384.bg1', '384.bh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 4913329002108151], 'label': '1536.408640176.192.fu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bn1', 'old_label': '192.fu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fu1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617123
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fv1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.bf1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.cc1', '96.ek2', '96.fm1', '96.go1', '96.hd1', '96.hf1', '96.hu1', '96.hv1', '96.if1', '96.ig1', '96.li1'], 'contains': ['384.be1', '384.bf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779421385188801, 1558502850424320, 795533260052208], 'label': '1536.408640176.192.fv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '192.fv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fv1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617124
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.fw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cd1', '96.el1', '96.gh1', '96.ha1', '96.id1', '96.if1', '96.lq1'], 'contains': ['384.be1', '384.bg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558428202046910, 4087853328153270], 'label': '1536.408640176.192.fw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '192.fw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fw1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617125
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.fx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cd1', '96.el1', '96.gi1', '96.hb1', '96.ie1', '96.ig1', '96.lr1'], 'contains': ['384.be1', '384.bh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [2209075491697615, 4466674913186214, 795533260052208], 'label': '1536.408640176.192.fx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '192.fx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fx1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617126
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '192.955', 'aut_weyl_index': 64, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '8.f1', '8.i1'], 'contains': ['32.i1', '48.mk1', '64.f1', '64.j1'], 'core': '96.c1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 86082708280015, 1821708766832454, 83903140502304, 359890668370854], 'label': '1536.408640176.16.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '16.l1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 62617127
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.fy1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.bn1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.ce1', '96.em1', '96.gp1', '96.he1', '96.ht1', '96.hu1', '96.id1', '96.ie1', '96.if1', '96.ig1', '96.lt1'], 'contains': ['384.be1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 3982176232894495], 'label': '1536.408640176.192.fy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '192.fy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fy1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617128
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.fz1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.cf1', '96.ih1', '96.ii1', '96.iq1', '96.ir1', '96.is1', '96.it1', '96.iu1', '96.iv1', '96.iw1', '96.ix1', '96.iy1', '96.iz1', '96.ja1', '96.jb1', '96.jc1', '96.jd1', '96.je1', '96.jf1', '96.jg1'], 'contains': ['384.a1', '384.t1', '384.u1', '384.v1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 359890668370854], 'label': '1536.408640176.192.fz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.fz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.fz1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617129
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.ga1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cg1', '96.ih1', '96.jf1', '96.jh1', '96.ji1', '96.jj1', '96.jk1', '96.jl1', '96.jm1', '96.jn1', '96.jo1', '96.jp1', '96.jq1', '96.jr1', '96.js1', '96.jt1'], 'contains': ['384.a1', '384.w1', '384.w2'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 486919748215], 'label': '1536.408640176.192.ga1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.ga1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ga1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617130
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.gb1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.ch1', '96.ij1', '96.iq1', '96.ir1', '96.jh1', '96.ji1', '96.ju1', '96.jv1', '96.jw1', '96.jx1', '96.jy1', '96.jz1', '96.ka1', '96.kb1', '96.kc1', '96.kd1'], 'contains': ['384.a1', '384.x1', '384.x2'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 1179562545343135], 'label': '1536.408640176.192.gb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.gb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gb1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617131
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.gc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.bf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.ci1', '96.ik1', '96.il1', '96.iq1', '96.is1', '96.it1', '96.iu1', '96.jj1', '96.jk1', '96.ju1', '96.ke1', '96.kf1', '96.kg1', '96.kh1', '96.ki1', '96.kj1', '96.kk1', '96.kl1', '96.km1', '96.kn1'], 'contains': ['384.a1', '384.y1', '384.y2'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 4088271101448655], 'label': '1536.408640176.192.gc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.gc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gc1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617132
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.gd1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1', '96.ch1', '96.im1', '96.is1', '96.iv1', '96.jl1', '96.jm1', '96.kd1', '96.ke1', '96.ko1', '96.kp1', '96.kq1', '96.kr1', '96.ks1', '96.kt1', '96.ku1', '96.kv1', '96.kw1', '96.kx1'], 'contains': ['384.a1', '384.z1', '384.z2'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370854], 'label': '1536.408640176.192.gd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.gd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gd1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617133
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.ge1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.c1', '96.cg1', '96.ii1', '96.jg1', '96.jt1', '96.jv1', '96.jw1', '96.kf1', '96.kg1', '96.ko1', '96.kp1', '96.ky1', '96.kz1', '96.la1', '96.lb1', '96.lc1', '96.ld1', '96.le1', '96.lf1'], 'contains': ['384.a1', '384.ba1', '384.ba2'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 359890668370854], 'label': '1536.408640176.192.ge1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.ge1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ge1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617134
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '192.gf1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.f1', '96.cj1', '96.in1', '96.iw1', '96.jn1', '96.jx1', '96.kh1', '96.kq1', '96.ky1', '96.lg1', '96.lh1', '96.li1'], 'contains': ['384.a1', '384.bb1', '384.bf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 359890668370854], 'label': '1536.408640176.192.gf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '192.gf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gf1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617135
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.gg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.bn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.ck1', '96.ij1', '96.im1', '96.ix1', '96.iy1', '96.iz1', '96.ja1', '96.jj1', '96.jo1', '96.jy1', '96.kf1', '96.ki1', '96.kj1', '96.kr1', '96.kz1', '96.lg1', '96.lj1', '96.lk1', '96.ll1', '96.lm1'], 'contains': ['384.a1', '384.bc1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 359890668370854], 'label': '1536.408640176.192.gg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.gg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gg1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617136
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.gh1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cl1', '96.ik1', '96.ix1', '96.jb1', '96.jl1', '96.jp1', '96.jv1', '96.jz1', '96.km1', '96.ks1', '96.la1', '96.lh1', '96.lj1', '96.ln1', '96.lo1', '96.lp1'], 'contains': ['384.a1', '384.bd1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 4087853328153271, 359890668370854], 'label': '1536.408640176.192.gh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.gh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gh1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617137
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408641029', 'aut_weyl_index': 8, 'centralizer': '192.a1', 'complements': ['256.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.d1', '12.h1', '12.i1', '12.k1', '12.u1', '12.w1', '12.y1', '12.bi1', '12.bz1', '12.ca1', '12.cd1', '12.cf1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.6.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['12.a1', '12.b1', '24.a1', '24.b1', '24.c1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '768.1090134', 'quotient_action_image': '6.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 62617138
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '192.956', 'aut_weyl_index': 64, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '8.h1', '8.j1'], 'contains': ['32.j1', '48.mp1', '64.f1'], 'core': '96.d1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 83903140502304, 359890668370854, 4087853328153270, 3867638933942910], 'label': '1536.408640176.16.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1', 'old_label': '16.m1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 62617158
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.gy1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.cu1', '96.df1', '96.gc1'], 'contains': ['384.br1', '384.bs1', '384.cd1', '384.ce1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [795184387931521, 1558054135131894, 85621839531961], 'label': '1536.408640176.192.gy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.y1', 'old_label': '192.gy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gy1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617139
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.gi1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.d1', '96.cl1', '96.il1', '96.iy1', '96.jc1', '96.jh1', '96.jq1', '96.ka1', '96.kn1', '96.ko1', '96.kt1', '96.lb1', '96.li1', '96.lk1', '96.lp1', '96.lq1', '96.lr1', '96.ls1', '96.lt1'], 'contains': ['384.a1', '384.be1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 359890668370854], 'label': '1536.408640176.192.gi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.gi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gi1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617140
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.gj1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cm1', '96.io1', '96.it1', '96.iz1', '96.jd1', '96.ji1', '96.jp1', '96.jr1', '96.jz1', '96.kb1', '96.ki1', '96.kk1', '96.kp1', '96.kt1', '96.ku1', '96.lb1', '96.lc1', '96.ll1', '96.ln1', '96.lq1', '96.lu1', '96.lv1', '96.lw1'], 'contains': ['384.a1', '384.bg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854], 'label': '1536.408640176.192.gj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.gj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gj1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617141
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '192.gk1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.cm1', '96.ip1', '96.iu1', '96.ja1', '96.je1', '96.jm1', '96.jq1', '96.jr1', '96.jw1', '96.ka1', '96.kb1', '96.kj1', '96.kl1', '96.ks1', '96.kv1', '96.la1', '96.ld1', '96.lm1', '96.ln1', '96.lr1', '96.lu1', '96.lx1'], 'contains': ['384.a1', '384.bh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179756178121071, 1822337812123926, 359890668370854], 'label': '1536.408640176.192.gk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.gk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gk1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617142
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '192.gl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bk1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.cn1', '96.io1', '96.ip1', '96.ir1', '96.iv1', '96.jb1', '96.jc1', '96.jd1', '96.je1', '96.jk1', '96.jo1', '96.js1', '96.ju1', '96.kc1', '96.ke1', '96.kg1', '96.kk1', '96.kl1', '96.kw1', '96.kz1', '96.le1', '96.lj1', '96.lk1', '96.ll1', '96.lm1', '96.lo1', '96.ls1', '96.lv1', '96.lx1'], 'contains': ['384.a1', '384.bi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 1179681327544015], 'label': '1536.408640176.192.gl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.gl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gl1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617143
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.gm1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.co1', '96.da1', '96.da2', '96.dd2', '96.en1', '96.en2', '96.fa2'], 'contains': ['384.bj1', '384.bl1', '384.bm1', '384.bo1', '384.bp1', '384.bx1', '384.ca1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 723416299249], 'label': '1536.408640176.192.gm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.gm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gm1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617144
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.gm2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.co1', '96.da1', '96.dd1', '96.en2', '96.fa1', '96.ly1'], 'contains': ['384.bk1', '384.bl1', '384.bo1', '384.by1', '384.ca1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 360096412929841, 723416299249], 'label': '1536.408640176.192.gm2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.gm2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gm2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617145
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.gn1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.co1', '96.da2', '96.dd1', '96.eo1', '96.fb1', '96.lz1'], 'contains': ['384.bk1', '384.bm1', '384.bp1', '384.by1', '384.cj1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821696294037009, 1821708766832454, 360345418241760], 'label': '1536.408640176.192.gn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.gn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gn1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617146
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.go1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.cp1', '96.db1', '96.es1'], 'contains': ['384.bj1', '384.bn1', '384.bs1', '384.bz1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [442804380649, 293647592167, 85621839531960], 'label': '1536.408640176.192.go1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.j1', 'old_label': '192.go1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.go1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617147
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.gp1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.cp1', '96.db1', '96.ex1', '96.ly1', '96.lz1', '96.ma1', '96.mb1'], 'contains': ['384.bk1', '384.bn1', '384.bs1', '384.ch1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [735925060135, 85621839531961, 795776023551774], 'label': '1536.408640176.192.gp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '192.gp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gp1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617148
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.gq1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.l1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.cq1', '96.dc1', '96.ez1', '96.ly1', '96.lz1', '96.ma1', '96.mb1'], 'contains': ['384.bk1', '384.ci1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [735925060135, 795776023551774, 381181143791215], 'label': '1536.408640176.192.gq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '192.gq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gq1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617149
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.226', 'aut_weyl_index': 128, 'centralizer': '24.a1', 'complements': ['64.i1'], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '12.k1', '12.l1'], 'contains': ['48.a1', '48.d1', '48.g1', '48.m1', '48.cc1', '48.cp1', '48.ea1', '48.go1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.24.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': ['6.a1'], 'normal_contains': ['48.a1', '48.d1', '96.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '768.1090134', 'quotient_action_image': '24.12', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617150
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.gr1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.cr1', '96.da1', '96.dd1', '96.en1', '96.fa2'], 'contains': ['384.bj1', '384.bm1', '384.bo1', '384.bu1', '384.ca2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 1821708766832455, 1821696294037009], 'label': '1536.408640176.192.gr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.gr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gr1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617151
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.gr2', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.cr1', '96.da2', '96.dd1', '96.dd2', '96.en2', '96.fa1', '96.fa2'], 'contains': ['384.bj1', '384.bk1', '384.bl1', '384.bo1', '384.bp1', '384.bt1', '384.ca2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [735925060135, 486919748214, 1821708766832455], 'label': '1536.408640176.192.gr2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.gr2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gr2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617152
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.gs1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.cr1', '96.da1', '96.dd2', '96.eo1', '96.fb1'], 'contains': ['384.bk1', '384.bm1', '384.bp1', '384.bu1', '384.cj2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 486919748214, 1821708766832454], 'label': '1536.408640176.192.gs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.gs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gs1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617153
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.gt1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.cs1', '96.dd1', '96.dd2', '96.fa1', '96.fa2', '96.ma1'], 'contains': ['384.bj1', '384.bk1', '384.bt1', '384.bu1', '384.ca1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 486919748214, 723416299249], 'label': '1536.408640176.192.gt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.gt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gt1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617154
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.gu1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.g1', '96.cs1', '96.dd1', '96.fb1', '96.mb1'], 'contains': ['384.bk1', '384.bu1', '384.cj1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [735925060135, 1821708766832454, 360345418241760], 'label': '1536.408640176.192.gu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '192.gu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gu1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62617155
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '192.gv1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.ct1', '96.da1', '96.da2', '96.en1', '96.en2'], 'contains': ['384.bl1', '384.bm1', '384.bx1', '384.by1', '384.ca2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 1821708766832455, 795340005803407], 'label': '1536.408640176.192.gv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '192.gv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gv1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617159
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.gz1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.cv1', '96.de1', '96.fv1', '96.ma1', '96.mb1'], 'contains': ['384.bu1', '384.ch1', '384.ci1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [281175158881, 85621839531961, 293647592166], 'label': '1536.408640176.192.gz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '192.gz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.gz1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617160
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.1090187', 'aut_weyl_index': 16, 'centralizer': '192.a1', 'complements': ['64.j1'], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.i1', '12.n1'], 'contains': ['48.b1', '48.f1', '48.cd1', '48.dc1', '48.gt1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 359890668370854, 1], 'label': '1536.408640176.24.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': ['6.a1'], 'normal_contains': ['48.b1', '48.f1', '96.a1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '768.1090134', 'quotient_action_image': '24.12', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 62617161
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.ha1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.bj1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.cw1', '96.dg1', '96.gx1'], 'contains': ['384.bw1', '384.cf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [1821901758068215, 1558054135131894, 1285751207061721], 'label': '1536.408640176.192.ha1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.bj1', 'old_label': '192.ha1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ha1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617162
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.hb1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.cx1', '96.de1', '96.fv1', '96.ly1', '96.lz1'], 'contains': ['384.by1', '384.ch1', '384.ci1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [1822057638927127, 85621839531961, 795776023551774], 'label': '1536.408640176.192.hb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '192.hb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.hb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617163
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.hc1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.cy1', '96.dh1', '96.hl1', '96.ly1', '96.ma1'], 'contains': ['384.ca1', '384.ch1', '384.ci1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [1821864384688489, 381592221980521, 795776023551774], 'label': '1536.408640176.192.hc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '192.hc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.hc1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617164
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.hd1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.cz1', '96.di1', '96.hp1'], 'contains': ['384.cc1', '384.ce1', '384.cf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [2587635382200510, 1179562545343135, 1286031869723215], 'label': '1536.408640176.192.hd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.bw1', 'old_label': '192.hd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.hd1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617165
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.he1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.i1', '96.cz1', '96.di1', '96.hz1'], 'contains': ['384.ce1', '384.cf1', '384.cg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [1179562545343134, 86082708280015, 2587635382200510], 'label': '1536.408640176.192.he1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.bw1', 'old_label': '192.he1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.he1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617166
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '192.hf1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['64.j1', '96.cy1', '96.dh1', '96.ib1', '96.lz1', '96.mb1'], 'contains': ['384.ch1', '384.ci1', '384.cj1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [486919748214, 86082708280015, 723416299248], 'label': '1536.408640176.192.hf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '192.hf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.hf1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617167
    {'ambient': '1536.408640176', 'aut_centralizer_order': 96, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '128.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '64.c1', '64.c2', '64.d1', '128.a1', '128.b1'], 'contains': ['512.a1', '768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [83903140502304, 1], 'label': '1536.408640176.256.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.b1', 'old_label': '256.a1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617168
    {'ambient': '1536.408640176', 'aut_centralizer_order': 48, 'aut_label': '256.b1', 'aut_quo_index': None, 'aut_stab_index': 128, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '128.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.e1', '64.g1', '64.h1', '128.a1', '128.d1'], 'contains': ['512.a1', '768.d1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 128, 'diagramx': None, 'generators': [735925060135, 83903140502304], 'label': '1536.408640176.256.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.b1', 'old_label': '256.b1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617169
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '256.c1', 'aut_quo_index': None, 'aut_stab_index': 256, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.f1', '64.i1', '64.j1', '128.b1', '128.d1'], 'contains': ['512.a1', '768.l1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 256, 'diagramx': None, 'generators': [86082708280015, 83903140502304], 'label': '1536.408640176.256.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.b1', 'old_label': '256.c1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62617170
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2048, 'aut_label': '384.a1', 'aut_quo_index': 18, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.c1', '192.a1', '192.b1', '192.fz1', '192.ga1', '192.gb1', '192.gc1', '192.gd1', '192.ge1', '192.gf1', '192.gg1', '192.gh1', '192.gi1', '192.gj1', '192.gk1', '192.gl1'], 'contains': ['768.c1'], 'core': '384.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1822337812123926, 359890668370854], 'label': '1536.408640176.384.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.a1', 'normal_contained_in': ['96.b1', '96.c1', '96.d1', '192.a1', '192.b1'], 'normal_contains': ['1536.a1'], 'normalizer': '1.a1', 'old_label': '384.a1', 'projective_image': '1536.408640176', 'quotient_action_image': '6.1', 'quotient_action_kernel': '64.267', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '384.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62617171
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.1090187', 'aut_weyl_index': 16, 'centralizer': '192.a1', 'complements': ['64.j1', '64.i1'], 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '12.h1', '12.p1'], 'contains': ['48.c1', '48.e1', '48.ce1', '48.dk1', '48.hc1'], 'core': '24.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 1, 4087853328153270, 3867638933942910], 'label': '1536.408640176.24.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': ['6.a1'], 'normal_contains': ['48.c1', '48.e1', '96.a1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '768.1090134', 'quotient_action_image': '24.12', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 62617172
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4096, 'aut_label': '384.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '192.c1', '192.d1', '192.e1', '192.f1', '192.g1', '192.g2', '192.h1', '192.h2', '192.i1', '192.i2', '192.j1', '192.k1', '192.l1', '192.m1', '192.n1', '192.o1'], 'contains': ['768.a1', '768.b1', '768.c1'], 'core': '768.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1], 'label': '1536.408640176.384.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.b1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617173
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1536, 'aut_label': '384.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '4.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.a1', '192.c1', '192.p1', '192.q1', '192.r1'], 'contains': ['768.a1', '768.d1'], 'core': '768.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [735925060135, 1], 'label': '1536.408640176.384.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '384.c1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617174
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '6.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.d1', '192.e1', '192.p1', '192.s1', '192.t1', '192.u1', '192.v1'], 'contains': ['768.a1', '768.e1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [281175158881, 1], 'label': '1536.408640176.384.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '384.d1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617175
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.d1', '192.f1', '192.q1', '192.s1', '192.w1', '192.x1'], 'contains': ['768.a1', '768.f1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822057638927127, 1], 'label': '1536.408640176.384.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '384.e1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617176
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.g1', '192.g2', '192.p1', '192.q1', '192.s1', '192.v1', '192.x1', '192.y1', '192.z1', '192.ba1', '192.ba2'], 'contains': ['768.a1', '768.g1', '768.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1], 'label': '1536.408640176.384.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '384.f1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617177
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.h1', '192.h2', '192.t1', '192.w1', '192.bb1', '192.bc1', '192.bd1'], 'contains': ['768.a1', '768.h1', '768.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 1], 'label': '1536.408640176.384.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '384.g1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617179
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '384.i1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['128.b1', '192.j1', '192.r1', '192.u1', '192.y1', '192.bb1', '192.be1'], 'contains': ['768.a1', '768.l1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 1], 'label': '1536.408640176.384.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.g1', 'old_label': '384.i1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617180
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.j1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.c1', '192.bf1', '192.bg1', '192.bh1', '192.bi1', '192.bx1'], 'contains': ['768.b1', '768.d1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123927], 'label': '1536.408640176.384.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '384.j1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617181
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.k1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.d1', '192.bf1', '192.bj1', '192.bk1', '192.bl1', '192.bl2', '192.bo1', '192.by1', '192.by2'], 'contains': ['768.b1', '768.e1', '768.f1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [281175158881, 1822337812123927], 'label': '1536.408640176.384.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '384.k1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617182
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '768.1090187', 'aut_weyl_index': 16, 'centralizer': '192.a1', 'complements': ['64.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.a1', '12.b1', '12.cr1'], 'contains': ['48.lt1', '48.lx1', '48.ly1', '48.md1'], 'core': '24.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 1821708766832454, 359890668370854], 'label': '1536.408640176.24.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': ['8.a1', '12.a1', '12.b1'], 'normal_contains': ['96.b1', '96.c1', '96.d1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '1536.408640176', 'quotient_action_image': '12.4', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 62617183
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '6.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.e1', '192.bg1', '192.bm1', '192.bn1', '192.bo1', '192.by2'], 'contains': ['768.b1', '768.e1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [281175158881, 359890668370855], 'label': '1536.408640176.384.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '384.l1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617184
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.f1', '192.bh1', '192.bk1', '192.bp1', '192.by2'], 'contains': ['768.b1', '768.f1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [359890668370855, 1822057638927127], 'label': '1536.408640176.384.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '384.m1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617185
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.n1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.g1', '192.bf1', '192.bk1', '192.bo1', '192.bs1', '192.bs2', '192.bz1', '192.bz2'], 'contains': ['768.b1', '768.g1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1822337812123927], 'label': '1536.408640176.384.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '384.n1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617186
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.n2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.g2', '192.bg1', '192.bh1', '192.bl1', '192.bl2', '192.bq1', '192.br1', '192.bs1', '192.bs2', '192.bz2'], 'contains': ['768.b1', '768.g1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 359890668370855], 'label': '1536.408640176.384.n2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '384.n2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.n2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617187
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.h1', '192.bm1', '192.bp1', '192.bt1', '192.bu1', '192.bv1', '192.ca2'], 'contains': ['768.b1', '768.h1', '768.j1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 1822337812123927], 'label': '1536.408640176.384.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '384.o1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.o1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617188
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.o2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.h2', '192.bj1', '192.bv1', '192.ca1', '192.ca2'], 'contains': ['768.b1', '768.h1', '768.j1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 359890668370855], 'label': '1536.408640176.384.o2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bl1', 'old_label': '384.o2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.o2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617189
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.i1', '192.bm1', '192.bp1', '192.bw1', '192.cb2'], 'contains': ['768.b1', '768.i1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123927, 4088271101448655], 'label': '1536.408640176.384.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.q1', 'old_label': '384.p1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.p1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617190
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.p2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.i2', '192.bj1', '192.cb1', '192.cb2'], 'contains': ['768.b1', '768.i1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [359890668370855, 4088271101448655], 'label': '1536.408640176.384.p2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bf1', 'old_label': '384.p2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.p2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617191
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '384.q1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.j1', '192.bi1', '192.bn1', '192.bq1', '192.bt1', '192.bw1'], 'contains': ['768.b1', '768.l1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 795533260052209], 'label': '1536.408640176.384.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.g1', 'old_label': '384.q1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.q1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617192
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2048, 'aut_label': '384.r1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '192.bx1', '192.by1', '192.by2', '192.bz1', '192.bz2', '192.ca1', '192.ca2', '192.cb1', '192.cb2', '192.cc1', '192.cd1', '192.ce1', '192.cf1', '192.cg1'], 'contains': ['768.b1', '768.c1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 359890668370855], 'label': '1536.408640176.384.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.r1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.r1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617193
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.l1'], 'contains': ['48.g1', '48.o1', '48.p1', '48.v1', '48.w1', '48.bs1', '48.bt1', '48.es1', '48.et1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 795533260052208, 85621839531960, 723416299248, 1], 'label': '1536.408640176.24.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '24.e1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617194
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.s1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.b1', '192.c1', '192.bx1', '192.ch1', '192.ci1', '192.cj1', '192.ck1', '192.cl1', '192.cm1', '192.cn1', '192.co1', '192.cp1', '192.cq1', '192.cr1', '192.cs1', '192.ct1'], 'contains': ['768.c1', '768.d1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926], 'label': '1536.408640176.384.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '384.s1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.s1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617195
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.t1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.d1', '192.by2', '192.ch1', '192.ci1', '192.cu1', '192.cv1', '192.cw1', '192.cx1', '192.cy1', '192.cz1', '192.da1', '192.db1', '192.dm1', '192.dn1', '192.fz1'], 'contains': ['768.c1', '768.e1', '768.f1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 281175158881], 'label': '1536.408640176.384.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '384.t1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.t1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617196
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.u1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '6.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.e1', '192.by1', '192.cj1', '192.ck1', '192.dc1', '192.dd1', '192.de1', '192.df1', '192.dg1', '192.dh1', '192.di1', '192.dj1', '192.dk1', '192.dl1', '192.dm1', '192.dn1', '192.fz1'], 'contains': ['768.c1', '768.e1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [281175158881, 359890668370854], 'label': '1536.408640176.384.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.u1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.u1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617197
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.v1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.f1', '192.by1', '192.cl1', '192.cm1', '192.cy1', '192.cz1', '192.do1', '192.dp1', '192.dq1', '192.dr1', '192.ds1', '192.dt1', '192.du1', '192.dv1', '192.dw1', '192.fz1'], 'contains': ['768.c1', '768.f1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822057638927127, 359890668370854], 'label': '1536.408640176.384.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.v1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.v1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617198
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.w1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.g1', '192.bz2', '192.ch1', '192.cy1', '192.dm1', '192.dy1', '192.ea1', '192.ec1', '192.eg1', '192.eg2', '192.ga1'], 'contains': ['768.c1', '768.g1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748215], 'label': '1536.408640176.384.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '384.w1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.w1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617199
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.w2', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.g2', '192.bz1', '192.cj1', '192.cl1', '192.da1', '192.dx1', '192.dz1', '192.eb1', '192.ed1', '192.ee1', '192.ef1', '192.eg2', '192.ga1'], 'contains': ['768.c1', '768.g1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [359890668370854, 486919748215], 'label': '1536.408640176.384.w2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '384.w2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.w2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617200
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.x1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.h1', '192.ca1', '192.cn1', '192.dc1', '192.do1', '192.dx1', '192.ei1', '192.ek1', '192.el1', '192.em1', '192.en1', '192.eo2', '192.gb1'], 'contains': ['768.c1', '768.h1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343135], 'label': '1536.408640176.384.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '384.x1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.x1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617201
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.x2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.h2', '192.ca2', '192.cu1', '192.dd1', '192.dp1', '192.dy1', '192.eh1', '192.ej1', '192.eo1', '192.eo2', '192.gb1'], 'contains': ['768.c1', '768.h1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795533260052208, 1179562545343135], 'label': '1536.408640176.384.x2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '384.x2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.x2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617202
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.y1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.i1', '192.cb1', '192.co1', '192.cp1', '192.dc1', '192.de1', '192.do1', '192.dq1', '192.dz1', '192.eh1', '192.ep1', '192.eq1', '192.es1', '192.et1', '192.ew1', '192.gc1'], 'contains': ['768.c1', '768.i1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 4088271101448655], 'label': '1536.408640176.384.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '384.y1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.y1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617203
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.y2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.i2', '192.cb2', '192.cu1', '192.cv1', '192.df1', '192.dg1', '192.dr1', '192.ds1', '192.ea1', '192.er1', '192.eu1', '192.ev1', '192.ex1', '192.ey1', '192.gc1'], 'contains': ['768.c1', '768.i1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 4088271101448655], 'label': '1536.408640176.384.y2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '384.y2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.y2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617204
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1'], 'contains': ['48.h1', '48.i1', '48.k1', '48.q1', '48.s1', '48.x1', '48.z1', '48.bd1', '48.bf1', '48.bo1', '48.bq1', '48.eu1', '48.ew1', '48.ey1', '48.fa1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821696294037009, 1558054135131894, 795533260052208, 1822051397507040, 1, 1779365212353054], 'label': '1536.408640176.24.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '24.f1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617205
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.z1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.h1', '192.ca1', '192.cq1', '192.de1', '192.dq1', '192.eb1', '192.eo1', '192.ez1', '192.fb1', '192.fc1', '192.fd1', '192.fe1', '192.ff1', '192.fg1', '192.gd1'], 'contains': ['768.c1', '768.j1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134], 'label': '1536.408640176.384.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '384.z1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.z1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617206
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.z2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.h2', '192.ca2', '192.cv1', '192.dh1', '192.dt1', '192.ec1', '192.eo2', '192.ep1', '192.fa1', '192.fg1', '192.gd1'], 'contains': ['768.c1', '768.j1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 795533260052208], 'label': '1536.408640176.384.z2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '384.z2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.z2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617207
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.ba1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.g1', '192.bz2', '192.ci1', '192.cz1', '192.dn1', '192.eg2', '192.ej1', '192.er1', '192.fa1', '192.fl1', '192.ge1'], 'contains': ['768.c1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926], 'label': '1536.408640176.384.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '384.ba1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.ba1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617208
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.ba2', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.g2', '192.bz1', '192.ck1', '192.cm1', '192.db1', '192.eg1', '192.ei1', '192.eq1', '192.ez1', '192.fh1', '192.fi1', '192.fj1', '192.fk1', '192.fl1', '192.ge1'], 'contains': ['768.c1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 359890668370854], 'label': '1536.408640176.384.ba2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '384.ba2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.ba2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617209
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '384.bb1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.j1', '192.cc1', '192.cr1', '192.cs1', '192.di1', '192.du1', '192.ed1', '192.ee1', '192.ek1', '192.el1', '192.es1', '192.et1', '192.fb1', '192.fc1', '192.fh1', '192.fi1', '192.fm1', '192.fn1', '192.fo1', '192.fp1', '192.fq1', '192.fr1', '192.gf1'], 'contains': ['768.c1', '768.l1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 795533260052208], 'label': '1536.408640176.384.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '384.bb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bb1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617210
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.bc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.s1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.k1', '192.cd1', '192.cn1', '192.cq1', '192.dj1', '192.dk1', '192.dv1', '192.dw1', '192.dz1', '192.eq1', '192.eu1', '192.ev1', '192.fm1', '192.fp1', '192.fs1', '192.gg1'], 'contains': ['768.c1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926], 'label': '1536.408640176.384.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '384.bc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617211
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.bd1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.t1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.l1', '192.ce1', '192.co1', '192.dj1', '192.dv1', '192.eb1', '192.ei1', '192.ex1', '192.fn1', '192.fq1', '192.ft1', '192.fu1', '192.gh1'], 'contains': ['768.c1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 4087853328153271], 'label': '1536.408640176.384.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '384.bd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bd1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617212
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '384.be1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '12.t1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.l1', '192.ce1', '192.cp1', '192.dk1', '192.dw1', '192.dx1', '192.ey1', '192.ez1', '192.fo1', '192.fr1', '192.fv1', '192.fw1', '192.fx1', '192.fy1', '192.gi1'], 'contains': ['768.c1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [4466674913186214, 795533260052208], 'label': '1536.408640176.384.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '384.be1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.be1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617213
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '384.bf1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.m1', '192.cc1', '192.cr1', '192.ct1', '192.dl1', '192.du1', '192.ed1', '192.ef1', '192.ek1', '192.em1', '192.es1', '192.ew1', '192.fb1', '192.fd1', '192.fh1', '192.fj1', '192.fm1', '192.fn1', '192.fo1', '192.fs1', '192.ft1', '192.fv1', '192.gf1'], 'contains': ['768.c1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779421385188801, 795533260052208], 'label': '1536.408640176.384.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '384.bf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bf1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617214
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.bg1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.n1', '192.cf1', '192.cw1', '192.df1', '192.dr1', '192.dy1', '192.eu1', '192.fa1', '192.fu1', '192.fw1', '192.gj1'], 'contains': ['768.c1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179756178121070, 795533260052208], 'label': '1536.408640176.384.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '384.bg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bg1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617215
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1'], 'contains': ['48.h1', '48.i1', '48.j1', '48.r1', '48.t1', '48.x1', '48.y1', '48.bd1', '48.be1', '48.bp1', '48.br1', '48.ev1', '48.ex1', '48.ez1', '48.fb1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821696294037009, 1558054135131894, 795533260052208, 1822051397507040, 85621839531960, 1], 'label': '1536.408640176.24.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '24.g1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617216
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '384.bh1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.n1', '192.cf1', '192.cx1', '192.dg1', '192.ds1', '192.ec1', '192.ej1', '192.ev1', '192.fu1', '192.fx1', '192.gk1'], 'contains': ['768.c1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179756178121071, 795533260052208], 'label': '1536.408640176.384.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '384.bh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bh1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617217
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bi1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.bk1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.o1', '192.cg1', '192.cw1', '192.cx1', '192.dd1', '192.dh1', '192.dp1', '192.dt1', '192.ea1', '192.eh1', '192.en1', '192.ep1', '192.er1', '192.fe1', '192.gl1'], 'contains': ['768.c1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [359890668370854, 1179681327544015], 'label': '1536.408640176.384.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '384.bi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bi1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617218
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bj1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.p1', '192.bf1', '192.bg1', '192.ch1', '192.cj1', '192.gm1', '192.go1', '192.gr1', '192.gr2', '192.gt1'], 'contains': ['768.d1', '768.e1', '768.g1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 486919748215], 'label': '1536.408640176.384.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '384.bj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bj1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617219
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bk1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.p1', '192.bf1', '192.bg1', '192.ci1', '192.ck1', '192.gm2', '192.gn1', '192.gp1', '192.gq1', '192.gr2', '192.gs1', '192.gt1', '192.gu1'], 'contains': ['768.d1', '768.e1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 486919748214], 'label': '1536.408640176.384.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '384.bk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bk1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617220
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bl1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.q1', '192.bf1', '192.bh1', '192.ch1', '192.cl1', '192.gm1', '192.gm2', '192.gr2', '192.gv1'], 'contains': ['768.d1', '768.f1', '768.g1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821696294037009, 486919748215], 'label': '1536.408640176.384.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '384.bl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bl1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617221
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bm1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.q1', '192.bf1', '192.bh1', '192.ci1', '192.cm1', '192.gm1', '192.gn1', '192.gr1', '192.gs1', '192.gv1', '192.gw1'], 'contains': ['768.d1', '768.f1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 1821696294037009], 'label': '1536.408640176.384.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '384.bm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bm1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617222
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '384.bn1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['128.d1', '192.r1', '192.bi1', '192.cs1', '192.go1', '192.gp1'], 'contains': ['768.d1', '768.l1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [735925060135, 85621839531961], 'label': '1536.408640176.384.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.j1', 'old_label': '384.bn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bn1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617223
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bo1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.s1', '192.bk1', '192.bl1', '192.bo1', '192.cy1', '192.da1', '192.dm1', '192.gm1', '192.gm2', '192.gr1', '192.gr2'], 'contains': ['768.e1', '768.f1', '768.g1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 486919748215], 'label': '1536.408640176.384.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '384.bo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bo1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617224
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bp1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.s1', '192.bk1', '192.bl2', '192.bo1', '192.cz1', '192.db1', '192.dn1', '192.gm1', '192.gn1', '192.gr2', '192.gs1'], 'contains': ['768.e1', '768.f1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 486919748214], 'label': '1536.408640176.384.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '384.bp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bp1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617225
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bq1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.be1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.t1', '192.bj1', '192.bm1', '192.cu1', '192.dc1', '192.gx1'], 'contains': ['768.e1', '768.h1', '768.i1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 1179562545343135], 'label': '1536.408640176.384.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.be1', 'old_label': '384.bq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bq1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617226
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1'], 'contains': ['48.j1', '48.l1', '48.m1', '48.v1', '48.bs1', '48.du1', '48.dv1', '48.dw1', '48.fc1', '48.fe1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 795533260052208, 85621839531960, 723416299248, 1], 'label': '1536.408640176.24.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '24.h1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617227
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.br1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.be1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.t1', '192.bj1', '192.bm1', '192.cv1', '192.de1', '192.gy1'], 'contains': ['768.e1', '768.i1', '768.j1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 1179562545343134], 'label': '1536.408640176.384.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.be1', 'old_label': '384.br1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.br1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617228
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '384.bs1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['192.u1', '192.bn1', '192.di1', '192.go1', '192.gp1', '192.gx1', '192.gy1'], 'contains': ['768.e1', '768.l1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [795184387931521, 85621839531961], 'label': '1536.408640176.384.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.g1', 'old_label': '384.bs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bs1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617229
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bt1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.v1', '192.bl2', '192.bo1', '192.da1', '192.dm1', '192.gr2', '192.gt1'], 'contains': ['768.e1', '768.g1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [50346753847, 486919748215], 'label': '1536.408640176.384.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '384.bt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bt1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617230
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bu1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.v1', '192.bl1', '192.bo1', '192.db1', '192.dn1', '192.gr1', '192.gs1', '192.gt1', '192.gu1', '192.gz1'], 'contains': ['768.e1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 50346753847], 'label': '1536.408640176.384.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '384.bu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bu1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617231
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bv1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.bh1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.w1', '192.bj1', '192.bp1', '192.cu1', '192.do1'], 'contains': ['768.f1', '768.h1', '768.i1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795527018642215, 1179562545343135], 'label': '1536.408640176.384.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bh1', 'old_label': '384.bv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bv1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617232
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bw1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.bh1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.w1', '192.bj1', '192.bp1', '192.cv1', '192.dq1', '192.ha1'], 'contains': ['768.f1', '768.i1', '768.j1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795527018642215, 1179562545343134], 'label': '1536.408640176.384.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bh1', 'old_label': '384.bw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bw1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617233
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.bx1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.x1', '192.bk1', '192.bl2', '192.cy1', '192.da1', '192.gm1', '192.gv1'], 'contains': ['768.f1', '768.g1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748215, 359903140794049], 'label': '1536.408640176.384.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '384.bx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bx1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617234
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.by1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.x1', '192.bk1', '192.bl1', '192.cz1', '192.db1', '192.gm2', '192.gn1', '192.gv1', '192.gw1', '192.hb1'], 'contains': ['768.f1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 359903140794049], 'label': '1536.408640176.384.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '384.by1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.by1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617235
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '384.bz1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.y1', '192.bq1', '192.ee1', '192.go1'], 'contains': ['768.g1', '768.l1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [795776023551775, 86082708280015], 'label': '1536.408640176.384.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.j1', 'old_label': '384.bz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bz1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617236
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.ca1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.ba1', '192.bs1', '192.bs2', '192.eg1', '192.eg2', '192.gm1', '192.gm2', '192.gt1', '192.hc1'], 'contains': ['768.g1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 723416299249], 'label': '1536.408640176.384.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '384.ca1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.ca1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617237
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1'], 'contains': ['48.k1', '48.l1', '48.m1', '48.w1', '48.bt1', '48.fd1', '48.ff1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 795533260052208, 723416299248, 1, 1779365212353054], 'label': '1536.408640176.24.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '24.i1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617238
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.ca2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.ba2', '192.bs1', '192.bs2', '192.eg1', '192.eg2', '192.gr1', '192.gr2', '192.gv1'], 'contains': ['768.g1', '768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1821708766832455], 'label': '1536.408640176.384.ca2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '384.ca2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.ca2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617239
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '384.cb1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.bb1', '192.bt1', '192.el1', '192.gx1'], 'contains': ['768.h1', '768.l1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [86082708280015, 2587635382200511], 'label': '1536.408640176.384.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.y1', 'old_label': '384.cb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.cb1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617240
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '384.cc1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.bd1', '192.bv1', '192.eo1', '192.eo2', '192.hd1'], 'contains': ['768.h1', '768.j1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179562545343134, 1558054135131895], 'label': '1536.408640176.384.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.cv1', 'old_label': '384.cc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.cc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617241
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '384.cd1', 'aut_quo_index': None, 'aut_stab_index': 192, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.be1', '192.bw1', '192.et1', '192.gx1', '192.gy1'], 'contains': ['768.i1', '768.l1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 192, 'diagramx': None, 'generators': [85621839531961, 3437280887168935], 'label': '1536.408640176.384.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.y1', 'old_label': '384.cd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.cd1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617242
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '384.ce1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.bb1', '192.bt1', '192.fc1', '192.gy1', '192.hd1', '192.he1'], 'contains': ['768.j1', '768.l1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [86082708280015, 2587635382200510], 'label': '1536.408640176.384.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.k1', 'old_label': '384.ce1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.ce1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617243
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '384.cf1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.bj1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.bc1', '192.bu1', '192.ff1', '192.ha1', '192.hd1', '192.he1'], 'contains': ['768.j1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [2587635382200510, 1286031869723215], 'label': '1536.408640176.384.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1', 'old_label': '384.cf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.cf1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617244
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '384.cg1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '48.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['128.e1', '192.bd1', '192.bv1', '192.fg1', '192.he1'], 'contains': ['768.j1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894], 'label': '1536.408640176.384.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1', 'old_label': '384.cg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.cg1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62617245
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '384.ch1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.y1', '192.bq1', '192.fi1', '192.gp1', '192.gz1', '192.hb1', '192.hc1', '192.hf1'], 'contains': ['768.k1', '768.l1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [86082708280015, 795776023551774], 'label': '1536.408640176.384.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '384.ch1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.ch1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617246
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '384.ci1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '48.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.z1', '192.br1', '192.fk1', '192.gq1', '192.gz1', '192.hb1', '192.hc1', '192.hf1'], 'contains': ['768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [381592221980521, 795776023551774], 'label': '1536.408640176.384.ci1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '384.ci1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.ci1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617247
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.cj1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['128.f1', '192.ba1', '192.bs2', '192.fl1', '192.gn1', '192.gu1', '192.hf1'], 'contains': ['768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1821708766832454, 360345418241760], 'label': '1536.408640176.384.cj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '384.cj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.cj1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62617248
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.c1', '12.g1', '12.h1', '12.o1', '12.p1', '12.s1', '12.t1', '12.ba1', '12.bd1', '12.bm1', '12.bn1', '12.bu1', '12.bv1'], 'core': '24.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1179756178121070, 85621839531960, 359890668370854, 1, 4087853328153270], 'label': '1536.408640176.6.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617249
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.c1'], 'contains': ['48.n1', '48.o1', '48.o2', '48.q1', '48.r1', '48.s1', '48.t1', '48.bi1', '48.bi2', '48.bm1', '48.bm2', '48.bo1', '48.bp1', '48.bq1', '48.br1', '48.fg1', '48.fh1', '48.fi1', '48.fj1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1558054135131894, 795533260052208, 1822051397507040, 85621839531960, 1], 'label': '1536.408640176.24.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '24.j1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617250
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '384.cj2', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '6.1', 'aut_weyl_index': 2048, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.f2', '192.ba2', '192.bs1', '192.fl1', '192.gs1', '192.gw1'], 'contains': ['768.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [486919748214, 1821708766832454], 'label': '1536.408640176.384.cj2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '384.cj2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.cj2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 62617251
    {'ambient': '1536.408640176', 'aut_centralizer_order': 96, 'aut_label': '512.a1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '128.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.c1', '128.e1', '128.f1', '128.f2', '256.a1', '256.b1', '256.c1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [83903140502304], 'label': '1536.408640176.512.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.b1', 'old_label': '512.a1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617252
    {'ambient': '1536.408640176', 'aut_centralizer_order': 12288, 'aut_label': '768.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '1.a1', 'complements': ['2.c1'], 'conjugacy_class_count': 1, 'contained_in': ['256.a1', '384.b1', '384.c1', '384.d1', '384.e1', '384.f1', '384.g1', '384.h1', '384.i1'], 'contains': ['1536.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1], 'label': '1536.408640176.768.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.a1', 'normal_contained_in': ['192.a1'], 'normal_contains': ['1536.a1'], 'normalizer': '1.a1', 'old_label': '768.a1', 'projective_image': '768.1090134', 'quotient_action_image': '1.1', 'quotient_action_kernel': '768.1090134', 'quotient_action_kernel_order': 768, 'quotient_fusion': None, 'short_label': '768.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617253
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4096, 'aut_label': '768.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.b1', '384.j1', '384.k1', '384.l1', '384.m1', '384.n1', '384.n2', '384.o1', '384.o2', '384.p1', '384.p2', '384.q1', '384.r1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123927], 'label': '1536.408640176.768.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.b1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617254
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4096, 'aut_label': '768.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.a1', '384.b1', '384.r1', '384.s1', '384.t1', '384.u1', '384.v1', '384.w1', '384.w2', '384.x1', '384.x2', '384.y1', '384.y2', '384.z1', '384.z2', '384.ba1', '384.ba2', '384.bb1', '384.bc1', '384.bd1', '384.be1', '384.bf1', '384.bg1', '384.bh1', '384.bi1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926], 'label': '1536.408640176.768.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.c1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617255
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1536, 'aut_label': '768.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '4.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['256.b1', '384.c1', '384.j1', '384.s1', '384.bj1', '384.bk1', '384.bl1', '384.bm1', '384.bn1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [735925060135], 'label': '1536.408640176.768.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '768.d1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617256
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '768.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '6.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.d1', '384.k1', '384.l1', '384.t1', '384.u1', '384.bj1', '384.bk1', '384.bo1', '384.bp1', '384.bq1', '384.br1', '384.bs1', '384.bt1', '384.bu1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [281175158881], 'label': '1536.408640176.768.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '768.e1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617257
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '768.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '6.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.e1', '384.k1', '384.m1', '384.t1', '384.v1', '384.bl1', '384.bm1', '384.bo1', '384.bp1', '384.bv1', '384.bw1', '384.bx1', '384.by1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822057638927127], 'label': '1536.408640176.768.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '768.f1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617258
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '768.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.f1', '384.n1', '384.n2', '384.w1', '384.w2', '384.bj1', '384.bl1', '384.bo1', '384.bt1', '384.bx1', '384.bz1', '384.ca1', '384.ca2'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748215], 'label': '1536.408640176.768.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '768.g1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617259
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '768.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.g1', '384.o1', '384.o2', '384.x1', '384.x2', '384.bq1', '384.bv1', '384.cb1', '384.cc1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343135], 'label': '1536.408640176.768.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '768.h1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617260
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.r1'], 'contains': ['48.y1', '48.ba1', '48.bb1', '48.bu1', '48.bw1', '48.fk1', '48.fm1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894, 795533260052208, 442804380649, 85621839531960, 1], 'label': '1536.408640176.24.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '24.k1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617261
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '768.i1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.h1', '384.p1', '384.p2', '384.y1', '384.y2', '384.bq1', '384.br1', '384.bv1', '384.bw1', '384.cd1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [4088271101448655], 'label': '1536.408640176.768.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.q1', 'old_label': '768.i1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617262
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '768.j1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.g1', '384.o1', '384.o2', '384.z1', '384.z2', '384.br1', '384.bw1', '384.cc1', '384.ce1', '384.cf1', '384.cg1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134], 'label': '1536.408640176.768.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '768.j1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617263
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1024, 'aut_label': '768.k1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.f1', '384.n1', '384.n2', '384.ba1', '384.ba2', '384.bk1', '384.bm1', '384.bp1', '384.bu1', '384.by1', '384.ca1', '384.ca2', '384.ch1', '384.ci1', '384.cj1', '384.cj2'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214], 'label': '1536.408640176.768.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '768.k1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617264
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '768.l1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '1.1', 'aut_weyl_index': 12288, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['256.c1', '384.i1', '384.q1', '384.bb1', '384.bn1', '384.bs1', '384.bz1', '384.cb1', '384.cd1', '384.ce1', '384.ch1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [86082708280015], 'label': '1536.408640176.768.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.g1', 'old_label': '768.l1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617265
    {'ambient': '1536.408640176', 'aut_centralizer_order': None, 'aut_label': '1536.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['512.a1', '768.a1', '768.b1', '768.c1', '768.d1', '768.e1', '768.f1', '768.g1', '768.h1', '768.i1', '768.j1', '768.k1', '768.l1'], 'contains': [], 'core': '1536.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '1536.408640176.1536.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.a1', 'normal_contained_in': ['384.a1', '768.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.a1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617266
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.r1'], 'contains': ['48.z1', '48.ba1', '48.bb1', '48.bv1', '48.bx1', '48.fl1', '48.fn1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894, 795533260052208, 442804380649, 1, 1779365212353054], 'label': '1536.408640176.24.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '24.l1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617267
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.29080', 'aut_weyl_index': 48, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.s1'], 'contains': ['48.bc1', '48.be1', '48.bg1', '48.by1', '48.ca1', '48.fo1', '48.fp1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 442804380649, 85621839531960, 1, 3867794551809024], 'label': '1536.408640176.24.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '24.m1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617268
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.29080', 'aut_weyl_index': 48, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.s1'], 'contains': ['48.bc1', '48.bf1', '48.bg1', '48.bz1', '48.cb1', '48.fq1', '48.fr1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 442804380649, 1, 3867794551809024, 1779365212353054], 'label': '1536.408640176.24.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '24.n1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617269
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.r1'], 'contains': ['48.bi1', '48.bj1', '48.bk1', '48.bu1', '48.bv1', '48.bw1', '48.bx1', '48.fs1', '48.ft1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1179562545343134, 1558054135131894, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.24.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '24.o1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617270
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2320', 'aut_weyl_index': 96, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.s1'], 'contains': ['48.bl1', '48.bm1', '48.bn1', '48.by1', '48.bz1', '48.ca1', '48.cb1', '48.fu1', '48.fv1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1179756178121070, 795533260052208, 85621839531960, 1, 3867794551809024], 'label': '1536.408640176.24.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '24.p1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617271
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.e1', '12.f1', '12.g1', '12.h1', '12.i1', '12.k1'], 'contains': ['48.h1', '48.n1', '48.cc1', '48.cd1', '48.ce1', '48.ch1', '48.cl1', '48.cq1', '48.cs1', '48.dx1', '48.fw1', '48.fy1', '48.ge1', '48.gg1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 359890668370854, 1, 3867165506497374], 'label': '1536.408640176.24.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.q1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617272
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.i1', '12.k1'], 'contains': ['48.cc1', '48.cd1', '48.cg1', '48.ci1', '48.cm1', '48.cr1', '48.cv1', '48.fx1', '48.gb1', '48.gf1', '48.gj1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 359890668370854, 1], 'label': '1536.408640176.24.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.r1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617273
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.h1', '12.k1'], 'contains': ['48.cc1', '48.ce1', '48.cg1', '48.cj1', '48.cn1', '48.ct1', '48.cw1', '48.fz1', '48.ga1', '48.gh1', '48.gi1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832454, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.24.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.s1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617274
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.e1', '12.f1', '12.h1', '12.bb1', '12.bf1', '12.bw1', '12.bx1'], 'core': '24.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1179756178121070, 86101382114928, 359890668370854, 1, 4087853328153270], 'label': '1536.408640176.6.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617275
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55751', 'aut_weyl_index': 48, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.j1', '12.l1'], 'contains': ['48.i1', '48.j1', '48.k1', '48.o1', '48.o2', '48.cc1', '48.cf1', '48.ck1', '48.cu1', '48.dy1', '48.dy2', '48.gc1', '48.gk1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1822051397507040, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.24.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.t1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.t1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617276
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.u1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.j1', '12.k1'], 'contains': ['48.cc1', '48.cg1', '48.co1', '48.cx1', '48.cy1', '48.gd1', '48.gl1', '48.gm1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.24.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.u1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.u1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617277
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55751', 'aut_weyl_index': 48, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1', '12.j1', '12.l1'], 'contains': ['48.l1', '48.p1', '48.cc1', '48.cz1', '48.dz1', '48.gn1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 86101382114928, 1822051397507040, 359890668370854, 1], 'label': '1536.408640176.24.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.v1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.v1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617278
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.w1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.h1', '12.i1'], 'contains': ['48.cd1', '48.ce1', '48.cg1', '48.da1', '48.dd1', '48.di1', '48.dn1', '48.gp1', '48.gq1', '48.gu1', '48.gv1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.24.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.w1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.w1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617279
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.x1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.16888', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.m1', '12.n1'], 'contains': ['48.q1', '48.r1', '48.cd1', '48.cf1', '48.db1', '48.dl1', '48.eb1', '48.gr1', '48.hd1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.24.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.x1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.x1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617280
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.y1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.i1', '12.m1'], 'contains': ['48.cd1', '48.cg1', '48.de1', '48.df1', '48.do1', '48.gs1', '48.he1', '48.hf1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 1, 3867165506497374, 1558428202046910], 'label': '1536.408640176.24.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.y1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.y1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617281
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.z1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.16888', 'aut_weyl_index': 48, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1', '12.m1', '12.n1'], 'contains': ['48.cd1', '48.dg1', '48.hg1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 359890668370854, 1, 1285751207061720], 'label': '1536.408640176.24.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.z1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.z1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617282
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.ba1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.16888', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.o1', '12.p1'], 'contains': ['48.s1', '48.t1', '48.ce1', '48.cf1', '48.dh1', '48.dm1', '48.ec1', '48.gw1', '48.gx1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 4466674913186214, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.24.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.ba1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ba1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617283
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.bb1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.h1', '12.o1'], 'contains': ['48.ce1', '48.cg1', '48.dj1', '48.dp1', '48.dq1', '48.gy1', '48.gz1', '48.ha1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 1, 4087853328153270, 1558428202046910], 'label': '1536.408640176.24.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bb1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bb1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617284
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.bc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.16888', 'aut_weyl_index': 48, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1', '12.o1', '12.p1'], 'contains': ['48.ce1', '48.dr1', '48.hb1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 4466674913186214, 359890668370854, 1, 3982369238227080], 'label': '1536.408640176.24.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.bc1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bc1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617285
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.c1', '12.e1', '12.i1', '12.m1', '12.n1', '12.q1', '12.r1', '12.bc1', '12.bg1', '12.bo1', '12.bp1', '12.bq1', '12.bs1'], 'core': '24.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.6.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.d1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617286
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.bd1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '384.20166', 'aut_weyl_index': 32, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '12.d1'], 'contains': ['48.cg1', '48.ds1', '48.dt1', '48.hh1', '48.hi1'], 'core': '96.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 359890668370854, 1, 4466419656786750], 'label': '1536.408640176.24.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.bd1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bd1', 'subgroup_fusion': None, 'weyl_group': '96.229'}
  • id: 62617287
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.be1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55751', 'aut_weyl_index': 48, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.q1', '12.r1'], 'contains': ['48.x1', '48.y1', '48.z1', '48.bi1', '48.bi2', '48.ch1', '48.ck1', '48.db1', '48.dh1', '48.ed1', '48.ed2', '48.hj1', '48.ht1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1558054135131894, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.24.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.be1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.be1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617288
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.bf1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1', '12.q1', '12.u1'], 'contains': ['48.ch1', '48.cm1', '48.dc1', '48.de1', '48.di1', '48.hk1', '48.hu1', '48.hv1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 359890668370854, 1, 3867165506497374, 1558428202046910], 'label': '1536.408640176.24.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bf1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bf1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617289
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.bg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.u1', '12.y1'], 'contains': ['48.ci1', '48.cj1', '48.co1', '48.da1', '48.de1', '48.dj1', '48.ds1', '48.hl1', '48.hl2', '48.hw1', '48.hx1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 1, 3867165506497374, 1558428202046910], 'label': '1536.408640176.24.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bg1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bg1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617290
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.bh1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55751', 'aut_weyl_index': 48, 'centralizer': '96.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1', '12.q1', '12.r1'], 'contains': ['48.ba1', '48.bj1', '48.ch1', '48.dg1', '48.ee1', '48.hy1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1558054135131894, 359890668370854, 1, 1285751207061720], 'label': '1536.408640176.24.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.bh1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bh1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617291
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1', '12.u1', '12.y1'], 'contains': ['48.ch1', '48.cj1', '48.cn1', '48.da1', '48.dd1', '48.dj1', '48.dk1', '48.hm1', '48.hn1', '48.ic1', '48.id1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.24.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bi1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617292
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1', '12.u1', '12.w1'], 'contains': ['48.ci1', '48.cl1', '48.cm1', '48.dc1', '48.dd1', '48.dn1', '48.do1', '48.ho1', '48.hp1', '48.ih1', '48.ii1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.24.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bj1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617293
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.bk1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.w1', '12.y1'], 'contains': ['48.ci1', '48.cn1', '48.co1', '48.dd1', '48.df1', '48.dq1', '48.ds1', '48.hq1', '48.hr1', '48.ij1', '48.ik1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1179562545343134, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.24.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bk1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bk1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617294
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.bl1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1', '12.r1', '12.y1'], 'contains': ['48.b1', '48.bb1', '48.bk1', '48.ch1', '48.ci1', '48.da1', '48.df1', '48.ef1', '48.hs1', '48.hs2', '48.hz1'], 'core': '48.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 1558054135131894, 359890668370854, 1], 'label': '1536.408640176.24.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bl1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bl1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617295
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.u1'], 'contains': ['48.cj1', '48.cm1', '48.co1', '48.di1', '48.dj1', '48.do1', '48.dt1', '48.ia1', '48.ia2', '48.ia3', '48.ib1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1179756178121070, 359890668370854, 1, 4466419656786750], 'label': '1536.408640176.24.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bm1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617296
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.f1', '12.g1', '12.i1', '12.be1', '12.bh1', '12.br1', '12.bt1'], 'core': '24.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 86101382114928, 1822051397507040, 359890668370854, 1], 'label': '1536.408640176.6.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617297
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.bn1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1', '12.s1', '12.u1'], 'contains': ['48.bc1', '48.bl1', '48.cj1', '48.cl1', '48.di1', '48.dk1', '48.dp1', '48.eg1', '48.ie1', '48.if1', '48.ig1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 1, 4087853328153270, 1558428202046910], 'label': '1536.408640176.24.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bn1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bn1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617298
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.bo1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55751', 'aut_weyl_index': 48, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.s1', '12.t1'], 'contains': ['48.bd1', '48.be1', '48.bf1', '48.bm1', '48.bm2', '48.ck1', '48.cl1', '48.dl1', '48.dm1', '48.eh1', '48.eh2', '48.il1', '48.im1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 4466674913186214, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.24.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.bo1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bo1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617299
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.bp1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.u1', '12.w1'], 'contains': ['48.cm1', '48.cn1', '48.co1', '48.dn1', '48.do1', '48.dp1', '48.ds1', '48.in1', '48.in2', '48.ip1', '48.iq1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 359890668370854, 1, 4087853328153270, 1558428202046910], 'label': '1536.408640176.24.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bp1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bp1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617300
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.bq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55751', 'aut_weyl_index': 48, 'centralizer': '96.bb1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1', '12.s1', '12.t1'], 'contains': ['48.bg1', '48.bn1', '48.cl1', '48.dr1', '48.ei1', '48.ir1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 4466674913186214, 359890668370854, 1, 3982369238227080], 'label': '1536.408640176.24.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.bq1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bq1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617301
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.br1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.cl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1', '12.t1', '12.w1'], 'contains': ['48.c1', '48.cl1', '48.cn1', '48.dn1', '48.dq1', '48.io1', '48.io2', '48.is1'], 'core': '48.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 1, 4087853328153270, 3867638933942910], 'label': '1536.408640176.24.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.br1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.br1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617302
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '24.bs1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1', '12.u1', '12.y1'], 'contains': ['48.u1', '48.bh1', '48.ch1', '48.ci1', '48.cj1', '48.co1', '48.cp1', '48.cr1', '48.ct1', '48.ej1', '48.it1', '48.iv1', '48.ja1', '48.jc1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123926, 1179562545343134, 359890668370854, 1], 'label': '1536.408640176.24.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bs1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bs1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617303
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '24.bt1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1', '12.v1', '12.w1', '12.x1', '12.y1'], 'contains': ['48.ci1', '48.cn1', '48.cp1', '48.cq1', '48.cy1', '48.iu1', '48.ix1', '48.jb1', '48.jf1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123926, 359890668370854, 1, 3867165506497374], 'label': '1536.408640176.24.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bt1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bt1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617304
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '24.bu1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1', '12.u1', '12.z1'], 'contains': ['48.cj1', '48.cm1', '48.cp1', '48.cs1', '48.cx1', '48.iw1', '48.jd1', '48.je1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1179756178121070, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.24.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bu1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617305
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.bv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.261', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.l1', '12.v1', '12.z1'], 'contains': ['48.v1', '48.w1', '48.cp1', '48.cu1', '48.cz1', '48.ek1', '48.jg1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1822051397507040, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.24.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.bv1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bv1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617306
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '24.bw1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1', '12.u1', '12.w1'], 'contains': ['48.cl1', '48.cm1', '48.cn1', '48.co1', '48.cp1', '48.cv1', '48.cw1', '48.iy1', '48.iz1', '48.jh1', '48.ji1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832454, 359890668370854, 1, 1558428202046910, 1558328574027631], 'label': '1536.408640176.24.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bw1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bw1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617307
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1024.dly', 'aut_weyl_index': 12, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.c1', '12.f1', '12.j1', '12.k1', '12.l1', '12.v1', '12.z1', '12.bj1', '12.bl1', '12.by1', '12.cb1', '12.ce1', '12.cg1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1558054135131894, 1821708766832454, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.6.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.f1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617308
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.bx1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1', '12.u1', '12.bi1'], 'contains': ['48.cr1', '48.cs1', '48.cv1', '48.da1', '48.dc1', '48.di1', '48.do1', '48.jj1', '48.jv1', '48.kr1', '48.le1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 359890668370854, 1, 1558328574027631], 'label': '1536.408640176.24.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bx1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bx1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617309
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.by1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.y1', '12.bi1'], 'contains': ['48.cr1', '48.ct1', '48.cy1', '48.da1', '48.df1', '48.dj1', '48.ds1', '48.jk1', '48.jw1', '48.ks1', '48.lf1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 4466581508513575, 359890668370854, 1], 'label': '1536.408640176.24.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.by1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.by1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617310
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.bz1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1', '12.y1', '12.ba1', '12.bb1', '12.bi1'], 'contains': ['48.cq1', '48.ct1', '48.da1', '48.dk1', '48.dq1', '48.jl1', '48.jz1', '48.kt1', '48.ll1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 4466581508513575, 359890668370854, 1, 3867165506497374], 'label': '1536.408640176.24.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bz1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bz1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617311
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.ca1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '12.v1', '12.ba1', '12.bc1', '12.bd1', '12.bg1', '12.bj1'], 'contains': ['48.bo1', '48.bp1', '48.cq1', '48.cu1', '48.db1', '48.dm1', '48.el1', '48.jm1', '48.kc1', '48.ku1', '48.lp1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 1822051397507040, 359890668370854, 1], 'label': '1536.408640176.24.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ca1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ca1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617312
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.cb1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1', '12.w1', '12.bc1', '12.be1', '12.bi1'], 'contains': ['48.cq1', '48.cv1', '48.dc1', '48.df1', '48.dn1', '48.jn1', '48.kd1', '48.kv1', '48.lq1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 359890668370854, 1, 3867165506497374, 1558328574027631], 'label': '1536.408640176.24.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cb1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cb1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617313
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.cc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.d1', '12.u1'], 'contains': ['48.cr1', '48.cw1', '48.cx1', '48.dd1', '48.de1', '48.dp1', '48.dt1', '48.jo1', '48.jq1', '48.ke1', '48.kh1', '48.kw1', '48.kz1', '48.lr1', '48.lt1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 359890668370854, 1, 4466419656786750], 'label': '1536.408640176.24.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cc1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cc1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617314
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.cd1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.e1', '12.x1', '12.bb1', '12.bc1', '12.bf1', '12.bg1', '12.bk1'], 'contains': ['48.cq1', '48.dg1', '48.kf1', '48.lu1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1, 1286031869723215], 'label': '1536.408640176.24.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cd1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cd1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617315
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.ce1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.f1', '12.v1', '12.bb1', '12.be1', '12.bf1', '12.bh1', '12.bj1'], 'contains': ['48.cq1', '48.cz1', '48.kx1', '48.lv1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1, 1779060146112295], 'label': '1536.408640176.24.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ce1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ce1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617316
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.cf1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '12.x1', '12.ba1', '12.bd1', '12.be1', '12.bh1', '12.bk1'], 'contains': ['48.cq1', '48.dr1', '48.jr1', '48.lw1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 3982176232894495, 1822051397507040, 359890668370854, 1], 'label': '1536.408640176.24.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cf1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cf1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617317
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.cg1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.h1', '12.w1', '12.bd1', '12.bf1'], 'contains': ['48.c1', '48.cq1', '48.cw1', '48.dd1', '48.dp1', '48.jp1', '48.js1', '48.kg1', '48.ky1', '48.ls1', '48.lx1'], 'core': '48.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1821708766832454, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.24.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cg1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cg1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617318
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1024.dly', 'aut_weyl_index': 12, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.e1', '12.g1', '12.k1', '12.x1', '12.bk1', '12.cc1', '12.ch1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1558054135131894, 359890668370854, 1821708766832454, 486919748214, 1822337812123926, 1285751207061720, 735925060135, 1], 'label': '1536.408640176.6.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.g1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617319
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.ch1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.i1', '12.y1', '12.bg1', '12.bh1'], 'contains': ['48.b1', '48.cq1', '48.cr1', '48.dd1', '48.de1', '48.jt1', '48.ju1', '48.ki1', '48.lb1', '48.lc1', '48.md1'], 'core': '48.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 359890668370854, 1], 'label': '1536.408640176.24.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ch1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ch1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617320
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.ci1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.16888', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.z1', '12.bl1'], 'contains': ['48.bq1', '48.br1', '48.cs1', '48.cu1', '48.dh1', '48.dl1', '48.em1', '48.jx1', '48.lg1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1822051397507040, 85621839531960, 359890668370854, 1, 1558328574027631], 'label': '1536.408640176.24.ci1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.ci1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ci1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617321
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.cj1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.u1', '12.bi1'], 'contains': ['48.ct1', '48.cv1', '48.cx1', '48.di1', '48.dj1', '48.do1', '48.ds1', '48.jy1', '48.jy2', '48.lh1', '48.li1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 1821708766832454, 359890668370854, 1, 1558328574027631], 'label': '1536.408640176.24.cj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cj1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cj1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617322
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.ck1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.16888', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1', '12.z1', '12.bl1'], 'contains': ['48.cs1', '48.cz1', '48.lj1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 86101382114928, 1822051397507040, 359890668370854, 1, 1558328574027631], 'label': '1536.408640176.24.ck1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.ck1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ck1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617323
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.cl1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1', '12.u1', '12.bi1'], 'contains': ['48.cs1', '48.ct1', '48.cw1', '48.di1', '48.dj1', '48.dk1', '48.dn1', '48.ka1', '48.kb1', '48.lm1', '48.ln1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1821708766832454, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.24.cl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cl1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cl1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617324
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.cm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1', '12.z1', '12.bj1'], 'contains': ['48.cu1', '48.cx1', '48.cz1', '48.mf1', '48.mg1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 359890668370854, 1, 4466419656786750, 1558428202046910], 'label': '1536.408640176.24.cm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.cm1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cm1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617325
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.cn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1', '12.v1', '12.bl1'], 'contains': ['48.cu1', '48.cy1', '48.cz1', '48.mh1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558496612582695, 1822051397507040, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.24.cn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.cn1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cn1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617326
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.co1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.w1', '12.bi1'], 'contains': ['48.cv1', '48.cw1', '48.cy1', '48.dn1', '48.do1', '48.dq1', '48.ds1', '48.kj1', '48.kk1', '48.mi1', '48.mj1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 3867807024594391, 1821708766832454, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.24.co1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.co1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.co1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617327
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '24.cp1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.k1', '12.bi1', '12.bj1', '12.bk1'], 'contains': ['48.a1', '48.cq1', '48.cr1', '48.cw1', '48.cx1', '48.kl1', '48.km1', '48.ko1', '48.kp1', '48.la1', '48.ly1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.24.cp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cp1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cp1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617328
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.cq1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1', '12.bi1', '12.bl1'], 'contains': ['48.a1', '48.cs1', '48.ct1', '48.cv1', '48.cy1', '48.kn1', '48.kn2', '48.lk1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1179936722089831, 486919748214, 1822337812123926, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.24.cq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cq1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cq1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617329
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.10482065', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['3.a1'], 'contains': ['12.v1', '12.w1', '12.x1', '12.bc1', '12.bd1', '12.be1', '12.bf1', '12.ck1', '12.cl1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1558054135131894, 1179756178121070, 85621839531960, 359890668370854, 1, 4087853328153270], 'label': '1536.408640176.6.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.h1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.h1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617330
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.cr1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.261', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '12.l1', '12.bj1', '12.bl1'], 'contains': ['48.a1', '48.bs1', '48.bt1', '48.cu1', '48.cz1', '48.en1', '48.kq1', '48.mk1'], 'core': '48.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 86082708280015, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.24.cr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.cr1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cr1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617331
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.cs1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '192.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.n1', '12.q1', '12.bc1'], 'contains': ['48.db1', '48.dc1', '48.dg1', '48.lz1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1558054135131894, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.24.cs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.cs1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cs1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617332
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.ct1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '192.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.m1', '12.q1', '12.bg1'], 'contains': ['48.db1', '48.de1', '48.dg1', '48.ma1', '48.mb1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 4088034024283854, 359890668370854, 1], 'label': '1536.408640176.24.ct1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.ct1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ct1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617333
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.cu1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2320', 'aut_weyl_index': 96, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.m1', '12.r1', '12.bc1'], 'contains': ['48.bu1', '48.bv1', '48.db1', '48.df1', '48.dg1', '48.eo1', '48.mc1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 4087934280229231, 1558054135131894, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.24.cu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.cu1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cu1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617334
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.cv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.261', 'aut_weyl_index': 192, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.g1', '12.n1', '12.r1', '12.bg1'], 'contains': ['48.b1', '48.bw1', '48.bx1', '48.db1', '48.dg1', '48.ep1', '48.ld1', '48.me1'], 'core': '48.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 359890668370854, 1], 'label': '1536.408640176.24.cv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.cv1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cv1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617335
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.cw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.p1', '12.s1', '12.ba1'], 'contains': ['48.by1', '48.bz1', '48.dk1', '48.dm1', '48.dr1', '48.eq1', '48.lo1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 85621839531960, 359890668370854, 1, 4088271101448655], 'label': '1536.408640176.24.cw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.cw1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cw1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617336
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.cx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.o1', '12.s1', '12.bd1'], 'contains': ['48.ca1', '48.cb1', '48.dm1', '48.dp1', '48.dr1', '48.er1', '48.mm1', '48.mn1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1179756178121070, 359890668370854, 1, 4913329002108150], 'label': '1536.408640176.24.cx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.cx1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cx1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617337
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.cy1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2320', 'aut_weyl_index': 96, 'centralizer': '192.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.o1', '12.t1', '12.ba1'], 'contains': ['48.dm1', '48.dq1', '48.dr1', '48.mo1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 85621839531960, 359890668370854, 1, 2208708020989111], 'label': '1536.408640176.24.cy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.cy1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cy1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617338
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.cz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.261', 'aut_weyl_index': 192, 'centralizer': '192.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '12.p1', '12.t1', '12.bd1'], 'contains': ['48.c1', '48.dm1', '48.dr1', '48.ml1', '48.mp1'], 'core': '48.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 359890668370854, 1, 4087853328153270, 3867638933942910], 'label': '1536.408640176.24.cz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.cz1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cz1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617339
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.da1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.261', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.c1'], 'contains': ['48.dx1', '48.dy1', '48.dy2', '48.eb1', '48.ec1', '48.ed1', '48.ed2', '48.eh1', '48.eh2', '48.el1', '48.em1', '48.eu1', '48.ev1', '48.ew1', '48.ex1', '48.ey1', '48.ez1', '48.fa1', '48.fb1', '48.fg1', '48.fh1', '48.fi1', '48.fj1'], 'core': '1536.a1', 'coset_action_label': '24T3532', 'count': 48, 'diagramx': None, 'generators': [735925060135, 1558054135131894, 795533260052208, 1822051397507040, 1822337812123927, 85621839531960], 'label': '1536.408640176.24.da1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '24.da1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.da1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617340
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '768.a1', 'complements': ['768.l1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '6.a1', '8.b1', '8.c1', '8.d1', '8.e1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 1821708766832454, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '768.1090134', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '768.1090134'}
  • id: 62617341
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '6.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.10482065', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['3.a1'], 'contains': ['12.v1', '12.x1', '12.y1', '12.ba1', '12.bb1', '12.bg1', '12.bh1', '12.ci1', '12.cj1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.6.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.i1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.i1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617342
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.db1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.l1'], 'contains': ['48.dy2', '48.dz1', '48.ea1', '48.ek1', '48.en1', '48.es1', '48.et1', '48.fc1', '48.fd1', '48.fe1', '48.ff1'], 'core': '1536.a1', 'coset_action_label': '24T3330', 'count': 48, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 795533260052208, 1822337812123927, 85621839531960, 723416299248], 'label': '1536.408640176.24.db1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '24.db1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.db1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617343
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.dc1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.r1'], 'contains': ['48.ed2', '48.ee1', '48.ef1', '48.eo1', '48.ep1', '48.fk1', '48.fl1', '48.fm1', '48.fn1', '48.fs1', '48.ft1'], 'core': '1536.a1', 'coset_action_label': '24T3509', 'count': 48, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894, 795533260052208, 1822337812123927, 442804380649, 85621839531960], 'label': '1536.408640176.24.dc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '24.dc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dc1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617344
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.dd1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.226', 'aut_weyl_index': 192, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.s1'], 'contains': ['48.eg1', '48.eh2', '48.ei1', '48.eq1', '48.er1', '48.fo1', '48.fp1', '48.fq1', '48.fr1', '48.fu1', '48.fv1'], 'core': '1536.a1', 'coset_action_label': '24T4258', 'count': 48, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1822337812123927, 442804380649, 85621839531960, 3867794551809024], 'label': '1536.408640176.24.dd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '24.dd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dd1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617345
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.de1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '12.bm1', '12.bn1'], 'contains': ['48.eu1', '48.ev1', '48.fg1', '48.fw1', '48.gc1', '48.gr1', '48.gx1', '48.hj1', '48.im1', '48.jm1', '48.jx1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822051397507041, 1822337812123926, 4466674913186214, 85621839531960, 359890668370854], 'label': '1536.408640176.24.de1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.de1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.de1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617346
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.df1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '12.bz1'], 'contains': ['48.fx1', '48.fz1', '48.gd1', '48.gp1', '48.gs1', '48.gy1', '48.hi1', '48.hl1', '48.hq1', '48.ib1', '48.in1', '48.jk1', '48.jo1', '48.jy1', '48.kj1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 359890668370854, 486919748215, 4466419656786750], 'label': '1536.408640176.24.df1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.df1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.df1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617347
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dg1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '12.bz1', '12.ca1'], 'contains': ['48.fx1', '48.ga1', '48.gd1', '48.gq1', '48.gs1', '48.gz1', '48.hh1', '48.hl2', '48.hr1', '48.ia1', '48.ip1', '48.jk1', '48.jq1', '48.jy2', '48.kk1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 486919748215, 4087853328153270, 1558428202046910], 'label': '1536.408640176.24.dg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dg1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617348
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.dh1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '12.bm1', '12.bn1'], 'contains': ['48.fw1', '48.hb1', '48.ir1', '48.jr1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822051397507041, 1822337812123926, 4466674913186214, 359890668370854, 3982369238227080], 'label': '1536.408640176.24.dh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.dh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dh1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617349
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.di1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.h1', '12.bm1', '12.bz1'], 'contains': ['48.fw1', '48.fz1', '48.gp1', '48.gz1', '48.hc1', '48.hm1', '48.if1', '48.io1', '48.jl1', '48.jp1', '48.ka1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832455, 359890668370854, 4087853328153270, 1558428202046910], 'label': '1536.408640176.24.di1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.di1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.di1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617350
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dj1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.h1', '12.bn1', '12.ca1'], 'contains': ['48.e1', '48.fw1', '48.ga1', '48.gq1', '48.ha1', '48.hn1', '48.ig1', '48.is1', '48.jl1', '48.js1', '48.kb1'], 'core': '48.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832455, 359890668370854, 4087853328153270, 3867638933942910], 'label': '1536.408640176.24.dj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dj1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617351
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dk1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.i1', '12.bo1', '12.bz1'], 'contains': ['48.fx1', '48.fy1', '48.gp1', '48.gt1', '48.he1', '48.ho1', '48.hs1', '48.hu1', '48.jj1', '48.jt1', '48.kd1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 486919748215, 3867165506497374, 1558428202046910], 'label': '1536.408640176.24.dk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dk1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617352
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '6.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['3.a1'], 'contains': ['12.ba1', '12.bb1', '12.bc1', '12.be1', '12.bi1', '12.bj1', '12.bk1', '12.cn1', '12.cq1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 486919748214, 1822337812123926, 1558054135131894, 1821708766832454, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.6.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.j1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.j1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617400
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.fc1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '192.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.q1', '12.bp1', '12.bq1'], 'contains': ['48.ht1', '48.hv1', '48.hy1', '48.lz1', '48.mb1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1558054135131894, 4088034024283855, 85621839531960, 359890668370854], 'label': '1536.408640176.24.fc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.fc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fc1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617353
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.i1', '12.bz1', '12.ca1'], 'contains': ['48.fw1', '48.fx1', '48.gb1', '48.gq1', '48.gs1', '48.gt1', '48.gv1', '48.hk1', '48.hp1', '48.hs2', '48.ii1', '48.jj1', '48.jn1', '48.ju1', '48.jv1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 359890668370854, 486919748215, 1558428202046910], 'label': '1536.408640176.24.dl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dl1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617354
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.dm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '12.bo1', '12.bp1'], 'contains': ['48.ew1', '48.ex1', '48.fh1', '48.fy1', '48.gc1', '48.gw1', '48.hd1', '48.ht1', '48.il1', '48.jx1', '48.kc1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822051397507041, 1822337812123926, 1558054135131894, 85621839531960, 359890668370854], 'label': '1536.408640176.24.dm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.dm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dm1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617355
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '12.bz1', '12.cd1'], 'contains': ['48.fz1', '48.gb1', '48.gd1', '48.gu1', '48.gy1', '48.he1', '48.hh1', '48.hw1', '48.ia2', '48.ij1', '48.in2', '48.jw1', '48.jy2', '48.ke1', '48.kj1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832455, 359890668370854, 3867165506497374, 1558428202046910], 'label': '1536.408640176.24.dn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dn1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617356
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.do1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.e1', '12.bo1', '12.bp1'], 'contains': ['48.fy1', '48.hg1', '48.hy1', '48.kf1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822051397507041, 1822337812123926, 1558054135131894, 359890668370854, 1285751207061720], 'label': '1536.408640176.24.do1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.do1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.do1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617357
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '12.ca1', '12.cd1'], 'contains': ['48.ga1', '48.gb1', '48.gd1', '48.gv1', '48.ha1', '48.hf1', '48.hh1', '48.hx1', '48.ia3', '48.ik1', '48.iq1', '48.jw1', '48.jy1', '48.kh1', '48.kk1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822051397507041, 1822337812123926, 1179562545343134, 359890668370854, 1558428202046910], 'label': '1536.408640176.24.dp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dp1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617358
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.i1', '12.bp1', '12.cd1'], 'contains': ['48.f1', '48.fy1', '48.gb1', '48.gu1', '48.hf1', '48.hv1', '48.hz1', '48.ih1', '48.jv1', '48.kd1', '48.ki1'], 'core': '48.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 359890668370854, 486919748215], 'label': '1536.408640176.24.dq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dq1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617359
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dr1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.h1', '12.bz1', '12.cd1'], 'contains': ['48.fy1', '48.fz1', '48.ga1', '48.gu1', '48.gv1', '48.gy1', '48.hc1', '48.ic1', '48.id1', '48.ie1', '48.io2', '48.jz1', '48.ka1', '48.kb1', '48.kg1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1821708766832455, 359890668370854, 1558428202046910], 'label': '1536.408640176.24.dr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dr1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617360
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ds1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '12.by1', '12.ce1'], 'contains': ['48.ey1', '48.ez1', '48.fi1', '48.ge1', '48.gk1', '48.gr1', '48.gw1', '48.hj1', '48.il1', '48.ku1', '48.lg1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1822051397507040, 1558054135131895, 85621839531960, 359890668370854, 1558328574027631], 'label': '1536.408640176.24.ds1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.ds1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ds1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617361
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dt1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '12.bz1', '12.cf1'], 'contains': ['48.gf1', '48.gh1', '48.gl1', '48.gp1', '48.gs1', '48.gy1', '48.hh1', '48.hl2', '48.hq1', '48.ia3', '48.in2', '48.ks1', '48.kw1', '48.lh1', '48.mi1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 1821708766832454, 1558054135131895, 359890668370854], 'label': '1536.408640176.24.dt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dt1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617362
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.du1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.f1', '12.by1', '12.ce1'], 'contains': ['48.ge1', '48.gn1', '48.kx1', '48.lj1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 86101382114928, 1822051397507040, 1558054135131895, 359890668370854], 'label': '1536.408640176.24.du1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.du1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.du1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617363
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '6.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.10482065', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.bd1', '12.bf1', '12.bg1', '12.bh1', '12.bj1', '12.bk1', '12.cm1', '12.co1', '12.cp1', '12.cr1'], 'core': '12.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.6.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.k1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.k1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617364
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '12.ca1', '12.cf1'], 'contains': ['48.gf1', '48.gi1', '48.gm1', '48.gq1', '48.gs1', '48.ha1', '48.hh1', '48.hl1', '48.hr1', '48.ia2', '48.iq1', '48.ks1', '48.kz1', '48.li1', '48.mj1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832454, 3867165506497375, 359890668370854, 1558428202046910], 'label': '1536.408640176.24.dv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dv1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617365
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.h1', '12.bz1', '12.cf1'], 'contains': ['48.ge1', '48.gh1', '48.gi1', '48.gp1', '48.gq1', '48.gy1', '48.hc1', '48.hm1', '48.hn1', '48.ie1', '48.io2', '48.kt1', '48.ky1', '48.lm1', '48.ln1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832454, 359890668370854, 1179562545343135, 1558428202046910], 'label': '1536.408640176.24.dw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dw1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617366
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.i1', '12.bz1', '12.cf1'], 'contains': ['48.ge1', '48.gf1', '48.gj1', '48.gp1', '48.gs1', '48.gt1', '48.gu1', '48.hk1', '48.ho1', '48.hs2', '48.ih1', '48.kr1', '48.kv1', '48.lb1', '48.le1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 1558054135131895, 359890668370854], 'label': '1536.408640176.24.dx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dx1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617367
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.dy1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.i1', '12.bq1', '12.br1', '12.ca1', '12.cf1'], 'contains': ['48.gf1', '48.gg1', '48.gq1', '48.gt1', '48.hf1', '48.hp1', '48.hs1', '48.hv1', '48.kr1', '48.lc1', '48.lq1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1558054135131895, 359890668370854, 3867165506497374], 'label': '1536.408640176.24.dy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dy1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617368
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.dz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.c1', '12.bq1', '12.bs1', '12.bu1', '12.bv1', '12.cb1', '12.cg1'], 'contains': ['48.fa1', '48.fb1', '48.fj1', '48.gg1', '48.gk1', '48.gx1', '48.hd1', '48.ht1', '48.im1', '48.lg1', '48.lp1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 85621839531961], 'label': '1536.408640176.24.dz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dz1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617369
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.ea1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '12.cd1', '12.cf1'], 'contains': ['48.gh1', '48.gj1', '48.gm1', '48.gu1', '48.gy1', '48.hf1', '48.hh1', '48.hx1', '48.ia1', '48.ij1', '48.in1', '48.lf1', '48.li1', '48.lr1', '48.mi1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 359890668370854, 4466419656786751], 'label': '1536.408640176.24.ea1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.ea1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ea1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617370
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.eb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.d1', '12.bz1'], 'contains': ['48.gi1', '48.gj1', '48.gl1', '48.gv1', '48.gz1', '48.he1', '48.hi1', '48.hw1', '48.ib1', '48.ik1', '48.ip1', '48.lf1', '48.lh1', '48.lt1', '48.mj1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 359890668370854, 4466419656786750], 'label': '1536.408640176.24.eb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.eb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.eb1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617371
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ec1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.e1', '12.bq1', '12.bs1', '12.bw1', '12.bx1', '12.cc1', '12.ch1'], 'contains': ['48.gg1', '48.hg1', '48.hy1', '48.lu1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1285751207061721, 1822051397507040, 359890668370854], 'label': '1536.408640176.24.ec1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ec1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ec1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617372
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ed1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.f1', '12.br1', '12.bt1', '12.bw1', '12.bx1', '12.cb1', '12.cg1'], 'contains': ['48.gg1', '48.gn1', '48.lj1', '48.lv1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1779521014819081, 1822051397507040, 359890668370854], 'label': '1536.408640176.24.ed1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ed1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ed1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617373
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ee1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.g1', '12.br1', '12.bt1', '12.bu1', '12.bv1', '12.cc1', '12.ch1'], 'contains': ['48.gg1', '48.hb1', '48.ir1', '48.lw1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 3982369238227081], 'label': '1536.408640176.24.ee1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ee1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ee1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617374
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '6.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['3.a1'], 'contains': ['12.bq1', '12.br1', '12.bv1', '12.bx1', '12.ca1', '12.cb1', '12.cc1', '12.ci1', '12.cl1', '12.cm1', '12.cn1'], 'core': '48.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1179756178121070, 85621839531960, 359890668370854, 486919748215, 4087853328153270], 'label': '1536.408640176.6.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.l1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.l1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617375
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.ef1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.i1', '12.bs1', '12.bt1', '12.cd1'], 'contains': ['48.f1', '48.gg1', '48.gj1', '48.gv1', '48.he1', '48.hu1', '48.hz1', '48.ii1', '48.le1', '48.lq1', '48.md1'], 'core': '48.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 359890668370854], 'label': '1536.408640176.24.ef1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ef1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ef1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617376
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.eg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.h1', '12.bu1', '12.bw1', '12.cd1', '12.cf1'], 'contains': ['48.gg1', '48.gh1', '48.gu1', '48.ha1', '48.hc1', '48.ic1', '48.ig1', '48.io1', '48.ll1', '48.lm1', '48.ls1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 359890668370854, 3867165506497374, 4466419656786751], 'label': '1536.408640176.24.eg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.eg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.eg1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617377
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.eh1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.h1', '12.bv1', '12.bx1', '12.ca1'], 'contains': ['48.e1', '48.gg1', '48.gi1', '48.gv1', '48.gz1', '48.id1', '48.if1', '48.is1', '48.ll1', '48.ln1', '48.lx1'], 'core': '48.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1821708766832454, 359890668370854, 1558428202046910], 'label': '1536.408640176.24.eh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.eh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.eh1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617378
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ei1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.j1', '12.by1', '12.cg1'], 'contains': ['48.gk1', '48.gl1', '48.gn1', '48.mf1', '48.mh1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 85621839531961, 4466419656786750, 1558428202046910], 'label': '1536.408640176.24.ei1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.ei1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ei1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617379
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ej1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.j1', '12.cb1', '12.ce1'], 'contains': ['48.gk1', '48.gm1', '48.gn1', '48.mg1', '48.mh1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1822051397507040, 1558428202046911, 85621839531960, 359890668370854], 'label': '1536.408640176.24.ej1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.ej1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ej1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617380
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.ek1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.k1', '12.by1', '12.bz1'], 'contains': ['48.fx1', '48.fz1', '48.ge1', '48.gl1', '48.go1', '48.it1', '48.iy1', '48.jb1', '48.jd1', '48.kl1', '48.kn1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 1821708766832454, 359890668370854, 486919748215], 'label': '1536.408640176.24.ek1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ek1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ek1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617381
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.el1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.k1', '12.bz1', '12.ca1'], 'contains': ['48.fw1', '48.fx1', '48.ga1', '48.gd1', '48.gf1', '48.gi1', '48.go1', '48.it1', '48.iu1', '48.iw1', '48.iz1', '48.ja1', '48.ji1', '48.km1', '48.kn2'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832454, 1558054135131895, 359890668370854, 1558428202046910], 'label': '1536.408640176.24.el1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.el1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.el1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617382
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.em1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.k1', '12.bz1', '12.cd1'], 'contains': ['48.fy1', '48.fz1', '48.gb1', '48.gd1', '48.gh1', '48.gj1', '48.go1', '48.iv1', '48.iw1', '48.ix1', '48.iy1', '48.jc1', '48.jh1', '48.kn2', '48.ko1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [359890668370854, 1179562545343134, 1821708766832455, 486919748214, 1822337812123926, 735925060135], 'label': '1536.408640176.24.em1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.em1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.em1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617485
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '384.17948', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '4.e1'], 'contains': ['16.c1', '16.k1', '24.cv1', '32.b1', '32.f1'], 'core': '48.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.8.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '8.g1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '192.955'}
  • id: 62617383
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.en1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.k1', '12.ca1', '12.cb1', '12.cc1', '12.cd1'], 'contains': ['48.ga1', '48.gb1', '48.gg1', '48.gm1', '48.go1', '48.iv1', '48.iz1', '48.je1', '48.jf1', '48.kn1', '48.kp1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1821708766832455, 359890668370854, 3867165506497374], 'label': '1536.408640176.24.en1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.en1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.en1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617384
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.eo1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.l1', '12.by1', '12.cb1'], 'contains': ['48.es1', '48.fc1', '48.fd1', '48.gk1', '48.gn1', '48.go1', '48.jg1', '48.kq1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1822051397507040, 85621839531960, 359890668370854, 486919748215], 'label': '1536.408640176.24.eo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.eo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.eo1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617385
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '6.m1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['3.a1'], 'contains': ['12.bs1', '12.bt1', '12.bu1', '12.bw1', '12.cb1', '12.cc1', '12.cd1', '12.cj1', '12.ck1', '12.cn1', '12.co1'], 'core': '48.f1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854, 486919748215], 'label': '1536.408640176.6.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.m1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.m1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617386
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.ep1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.k1', '12.ce1', '12.cf1'], 'contains': ['48.d1', '48.ge1', '48.gf1', '48.gh1', '48.gm1', '48.ja1', '48.jb1', '48.je1', '48.jh1', '48.la1', '48.lk1'], 'core': '48.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1821708766832454, 359890668370854, 1179562545343135], 'label': '1536.408640176.24.ep1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ep1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ep1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617387
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '24.eq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.k1', '12.cf1', '12.cg1', '12.ch1'], 'contains': ['48.d1', '48.gg1', '48.gi1', '48.gj1', '48.gl1', '48.jc1', '48.jd1', '48.jf1', '48.ji1', '48.lk1', '48.ly1'], 'core': '48.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 1821708766832454, 359890668370854], 'label': '1536.408640176.24.eq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.eq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.eq1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617388
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.er1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.i1', '12.l1', '12.ce1', '12.cg1'], 'contains': ['48.d1', '48.et1', '48.fe1', '48.ff1', '48.gk1', '48.gn1', '48.jg1', '48.mk1'], 'core': '48.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1821708766832454, 359890668370854, 85621839531961], 'label': '1536.408640176.24.er1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.er1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.er1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617389
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.es1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.n1', '12.bo1', '12.bq1'], 'contains': ['48.gt1', '48.hd1', '48.hg1', '48.ld1', '48.lz1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1558054135131894, 85621839531960, 359890668370854, 1179562545343135], 'label': '1536.408640176.24.es1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.es1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.es1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617390
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.et1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.o1', '12.bm1', '12.bv1'], 'contains': ['48.gx1', '48.gz1', '48.hb1', '48.mm1', '48.mo1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 359890668370854, 85621839531961, 4913329002108150], 'label': '1536.408640176.24.et1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.et1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.et1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617391
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.eu1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.o1', '12.bn1', '12.bu1'], 'contains': ['48.gx1', '48.ha1', '48.hb1', '48.mn1', '48.mo1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 2209075491697615, 1822337812123926, 4466674913186214, 85621839531960, 359890668370854], 'label': '1536.408640176.24.eu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.eu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.eu1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617392
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ev1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.p1', '12.bm1', '12.bu1'], 'contains': ['48.gx1', '48.hb1', '48.hc1', '48.lo1', '48.ml1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 4087853328153271, 85621839531960, 359890668370854, 4088271101448655], 'label': '1536.408640176.24.ev1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.ev1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ev1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617393
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ew1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.j1', '12.p1', '12.bn1', '12.bv1'], 'contains': ['48.e1', '48.gx1', '48.hb1', '48.lo1', '48.mp1'], 'core': '48.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 85621839531961, 4087853328153270, 3867638933942910], 'label': '1536.408640176.24.ew1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.ew1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ew1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617394
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ex1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.m1', '12.bo1', '12.bs1'], 'contains': ['48.hd1', '48.he1', '48.hg1', '48.ma1', '48.mc1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 4088034024283854, 359890668370854, 85621839531961], 'label': '1536.408640176.24.ex1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.ex1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ex1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617395
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ey1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.m1', '12.bp1', '12.bq1'], 'contains': ['48.hd1', '48.hf1', '48.hg1', '48.mb1', '48.mc1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 4088034024283855, 85621839531960, 359890668370854], 'label': '1536.408640176.24.ey1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.ey1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ey1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617396
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '6.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['3.a1'], 'contains': ['12.bq1', '12.br1', '12.bu1', '12.bw1', '12.cf1', '12.cg1', '12.ch1', '12.ci1', '12.ck1', '12.cp1', '12.cq1'], 'core': '48.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1558054135131894, 1821708766832454, 85621839531960, 359890668370854, 1179562545343135], 'label': '1536.408640176.6.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.n1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.n1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617397
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ez1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.k1', '12.n1', '12.bp1', '12.bs1'], 'contains': ['48.f1', '48.hd1', '48.hg1', '48.lz1', '48.me1'], 'core': '48.f1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 359890668370854, 85621839531961], 'label': '1536.408640176.24.ez1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.ez1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ez1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617398
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.fa1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.r1', '12.bo1', '12.bq1'], 'contains': ['48.fk1', '48.fl1', '48.fs1', '48.hs1', '48.ht1', '48.hy1', '48.ld1', '48.mc1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 4087934280229231, 1558054135131894, 85621839531960, 359890668370854, 1179562545343135], 'label': '1536.408640176.24.fa1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.fa1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fa1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617399
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.fb1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '192.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.q1', '12.bo1', '12.bs1'], 'contains': ['48.ht1', '48.hu1', '48.hy1', '48.lz1', '48.ma1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1558054135131894, 4088034024283854, 359890668370854, 85621839531961], 'label': '1536.408640176.24.fb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.fb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fb1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617401
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.fd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.r1', '12.bp1', '12.bs1'], 'contains': ['48.fm1', '48.fn1', '48.ft1', '48.ht1', '48.hy1', '48.hz1', '48.mc1', '48.me1'], 'core': '96.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1179562545343134, 1558054135131894, 359890668370854, 85621839531961], 'label': '1536.408640176.24.fd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.fd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fd1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617402
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.fe1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.s1', '12.bm1', '12.bv1'], 'contains': ['48.fo1', '48.fq1', '48.fu1', '48.if1', '48.im1', '48.ir1', '48.lo1', '48.mm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1179756178121070, 359890668370854, 85621839531961, 4913329002108150], 'label': '1536.408640176.24.fe1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.fe1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fe1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617403
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.ff1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.s1', '12.bn1', '12.bu1'], 'contains': ['48.fp1', '48.fr1', '48.fv1', '48.ig1', '48.im1', '48.ir1', '48.lo1', '48.mn1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [2209075491697615, 1822337812123926, 4466674913186214, 85621839531960, 359890668370854, 4088271101448655], 'label': '1536.408640176.24.ff1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.ff1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ff1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617404
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.fg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '192.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.t1', '12.bm1', '12.bu1'], 'contains': ['48.im1', '48.io1', '48.ir1', '48.ml1', '48.mo1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 4466674913186214, 4087853328153271, 85621839531960, 359890668370854], 'label': '1536.408640176.24.fg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.fg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fg1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617405
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.fh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '192.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.t1', '12.bn1', '12.bv1'], 'contains': ['48.im1', '48.ir1', '48.is1', '48.mo1', '48.mp1'], 'core': '96.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 359890668370854, 85621839531961, 4087853328153270, 3867638933942910], 'label': '1536.408640176.24.fh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.fh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fh1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617406
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fi1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.u1', '12.bz1'], 'contains': ['48.hk1', '48.hl2', '48.hm1', '48.ho1', '48.ib1', '48.ie1', '48.in2', '48.it1', '48.iw1', '48.iy1', '48.jj1', '48.jo1', '48.jy2', '48.ka1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179756178121070, 359890668370854, 486919748215, 4466419656786750], 'label': '1536.408640176.24.fi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fi1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617407
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '6.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.b1', '12.bs1', '12.bt1', '12.bv1', '12.bx1', '12.cg1', '12.ch1', '12.cj1', '12.cl1', '12.cq1', '12.cr1'], 'core': '12.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 1821708766832454, 359890668370854, 85621839531961], 'label': '1536.408640176.6.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.o1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.o1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617408
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.u1', '12.bz1', '12.ca1'], 'contains': ['48.hk1', '48.hl1', '48.hn1', '48.hp1', '48.ia2', '48.ia3', '48.if1', '48.ip1', '48.it1', '48.iw1', '48.iz1', '48.jj1', '48.jq1', '48.jy1', '48.kb1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 486919748215, 4087853328153270, 1558428202046910], 'label': '1536.408640176.24.fj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fj1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617409
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fk1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.w1', '12.bz1'], 'contains': ['48.ho1', '48.hq1', '48.io2', '48.ip1', '48.iu1', '48.iy1', '48.jn1', '48.jp1', '48.kj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 281175158881, 359890668370854, 4087853328153270, 1558428202046910], 'label': '1536.408640176.24.fk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fk1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617410
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fl1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.w1', '12.ca1'], 'contains': ['48.hp1', '48.hr1', '48.iq1', '48.is1', '48.iu1', '48.iz1', '48.jn1', '48.js1', '48.kk1'], 'core': '96.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1821708766832455, 359890668370854, 4087853328153270, 3867638933942910], 'label': '1536.408640176.24.fl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fl1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617411
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fm1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.y1', '12.bz1'], 'contains': ['48.hm1', '48.hq1', '48.hs2', '48.hw1', '48.it1', '48.ix1', '48.jk1', '48.jt1', '48.jz1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 486919748215, 3867165506497374, 1558428202046910], 'label': '1536.408640176.24.fm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fm1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617412
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.y1', '12.bz1', '12.ca1'], 'contains': ['48.hl1', '48.hl2', '48.hn1', '48.hr1', '48.hs1', '48.hs2', '48.id1', '48.ik1', '48.it1', '48.iu1', '48.iv1', '48.jk1', '48.jl1', '48.ju1', '48.jw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 359890668370854, 486919748215, 1558428202046910], 'label': '1536.408640176.24.fn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fn1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617413
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fo1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.u1', '12.bz1', '12.cd1'], 'contains': ['48.hu1', '48.hw1', '48.ia1', '48.ia3', '48.ic1', '48.ie1', '48.ih1', '48.in1', '48.iv1', '48.iw1', '48.iy1', '48.jv1', '48.jy1', '48.ka1', '48.ke1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 281175158881, 359890668370854, 3867165506497374, 1558428202046910], 'label': '1536.408640176.24.fo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fo1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617414
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.u1', '12.ca1', '12.cd1'], 'contains': ['48.hv1', '48.hx1', '48.ia1', '48.ia2', '48.id1', '48.ig1', '48.ii1', '48.iq1', '48.iv1', '48.iw1', '48.iz1', '48.jv1', '48.jy2', '48.kb1', '48.kh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822051397507041, 1822337812123926, 1179562545343134, 359890668370854, 1558428202046910], 'label': '1536.408640176.24.fp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fp1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617415
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.y1', '12.cd1'], 'contains': ['48.hx1', '48.hz1', '48.ic1', '48.ij1', '48.iv1', '48.ix1', '48.jw1', '48.jz1', '48.ki1'], 'core': '96.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 1558054135131894, 359890668370854, 486919748215], 'label': '1536.408640176.24.fq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fq1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617416
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fr1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.w1', '12.bz1', '12.cd1'], 'contains': ['48.ih1', '48.ii1', '48.ij1', '48.ik1', '48.in1', '48.in2', '48.io1', '48.io2', '48.ix1', '48.iy1', '48.iz1', '48.kd1', '48.kg1', '48.kj1', '48.kk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1821708766832455, 281175158881, 359890668370854, 1558428202046910], 'label': '1536.408640176.24.fr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fr1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617417
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fs1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.u1', '12.bz1', '12.cf1'], 'contains': ['48.hk1', '48.hl1', '48.hm1', '48.ho1', '48.ia1', '48.ia2', '48.ie1', '48.in1', '48.ja1', '48.jd1', '48.jh1', '48.kr1', '48.kw1', '48.lh1', '48.lm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1179756178121070, 1821708766832454, 1558054135131895, 359890668370854], 'label': '1536.408640176.24.fs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fs1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617418
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '8.a1', 'aut_quo_index': 21, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '768.a1', 'complements': ['192.r1', '192.bi1', '192.go1', '192.gx1', '192.u1', '192.bn1', '192.be1', '192.bw1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1'], 'contains': ['24.d1', '32.h1', '32.i1', '32.j1', '32.k1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1179562545343134, 1558054135131894, 1821708766832454, 83903140502304, 359890668370854], 'label': '1536.408640176.8.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1'], 'normal_contains': ['24.d1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '1536.408640176', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '768.1090134'}
  • id: 62617419
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.ft1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.u1', '12.ca1', '12.cf1'], 'contains': ['48.hk1', '48.hl2', '48.hn1', '48.hp1', '48.ia1', '48.ia3', '48.ig1', '48.iq1', '48.ja1', '48.je1', '48.ji1', '48.kr1', '48.kz1', '48.li1', '48.ln1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1821708766832454, 3867165506497375, 359890668370854, 1558428202046910], 'label': '1536.408640176.24.ft1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.ft1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ft1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617420
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.fu1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.v1', '12.by1', '12.ce1'], 'contains': ['48.jb1', '48.jg1', '48.ku1', '48.kx1', '48.mh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1558496612582695, 1822051397507040, 1558054135131895, 85621839531960, 359890668370854], 'label': '1536.408640176.24.fu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.fu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fu1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617421
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.w1', '12.bz1', '12.cf1'], 'contains': ['48.ho1', '48.hp1', '48.hq1', '48.hr1', '48.in1', '48.in2', '48.io1', '48.io2', '48.jb1', '48.jh1', '48.ji1', '48.kv1', '48.ky1', '48.mi1', '48.mj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1821708766832454, 359890668370854, 1179562545343135, 1558428202046910, 1558328574027631], 'label': '1536.408640176.24.fv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fv1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617422
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.y1', '12.bz1', '12.cf1'], 'contains': ['48.hl1', '48.hl2', '48.hm1', '48.hq1', '48.hs1', '48.hs2', '48.ic1', '48.ij1', '48.ja1', '48.jb1', '48.jc1', '48.ks1', '48.kt1', '48.lb1', '48.lf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123926, 1179562545343134, 1558054135131895, 359890668370854], 'label': '1536.408640176.24.fw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.fw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fw1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617423
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.fx1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.y1', '12.ca1', '12.cf1', '12.ci1'], 'contains': ['48.hn1', '48.hr1', '48.hs2', '48.hx1', '48.ja1', '48.jf1', '48.ks1', '48.lc1', '48.ll1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123926, 1558054135131895, 359890668370854, 3867165506497374], 'label': '1536.408640176.24.fx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fx1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617424
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.fy1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.z1', '12.by1', '12.cg1'], 'contains': ['48.jd1', '48.jg1', '48.lg1', '48.lj1', '48.mf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 85621839531961, 4466419656786750, 1558428202046910], 'label': '1536.408640176.24.fy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.fy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fy1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617425
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.fz1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.z1', '12.cb1', '12.ce1'], 'contains': ['48.je1', '48.jg1', '48.lg1', '48.lj1', '48.mg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1822051397507040, 1558428202046911, 85621839531960, 359890668370854], 'label': '1536.408640176.24.fz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.fz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.fz1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617426
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.ga1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.u1', '12.cd1', '12.cf1'], 'contains': ['48.hv1', '48.hx1', '48.ia2', '48.ia3', '48.ic1', '48.ie1', '48.ih1', '48.in2', '48.jc1', '48.je1', '48.jh1', '48.le1', '48.li1', '48.lm1', '48.lr1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123926, 1179562545343134, 359890668370854, 4466419656786751], 'label': '1536.408640176.24.ga1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.ga1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ga1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617427
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.gb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.u1', '12.bz1'], 'contains': ['48.hu1', '48.hw1', '48.ib1', '48.id1', '48.if1', '48.ii1', '48.ip1', '48.jc1', '48.jd1', '48.ji1', '48.le1', '48.lh1', '48.ln1', '48.lt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 359890668370854, 4466419656786750, 1558328574027631], 'label': '1536.408640176.24.gb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.gb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gb1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617428
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.gc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.y1', '12.cd1', '12.cj1'], 'contains': ['48.hw1', '48.hz1', '48.id1', '48.ik1', '48.jc1', '48.jf1', '48.lf1', '48.ll1', '48.md1'], 'core': '96.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 359890668370854], 'label': '1536.408640176.24.gc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gc1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617429
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.17948', 'aut_weyl_index': 32, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '4.d1'], 'contains': ['16.b1', '16.g1', '24.a1', '32.a1', '32.c1', '32.d1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1821708766832454, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.8.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '8.b1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 62617430
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.v1', '12.cb1', '12.cg1', '12.ci1', '12.cj1', '12.ck1', '12.cl1'], 'contains': ['48.jf1', '48.jg1', '48.lp1', '48.lv1', '48.mh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 85621839531961], 'label': '1536.408640176.24.gd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gd1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617431
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.ge1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.w1', '12.cd1', '12.cf1', '12.ck1'], 'contains': ['48.ih1', '48.ij1', '48.io2', '48.iq1', '48.jf1', '48.jh1', '48.lq1', '48.ls1', '48.mi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123926, 359890668370854, 3867165506497374, 4466419656786751], 'label': '1536.408640176.24.ge1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ge1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ge1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617486
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '32.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1008', 'aut_weyl_index': 64, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '16.e1', '16.j1'], 'contains': ['96.lw1', '128.c1'], 'core': '384.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 83903140502304, 359890668370854, 4466419656786750], 'label': '1536.408640176.32.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '32.k1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.k1', 'subgroup_fusion': None, 'weyl_group': '96.71'}
  • id: 62617432
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.gf1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.w1', '12.ca1', '12.cl1'], 'contains': ['48.ii1', '48.ik1', '48.ip1', '48.is1', '48.jf1', '48.ji1', '48.lq1', '48.lx1', '48.mj1'], 'core': '96.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 1821708766832454, 359890668370854, 1558428202046910], 'label': '1536.408640176.24.gf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gf1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617433
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.x1', '12.cc1', '12.ch1', '12.ci1', '12.cj1', '12.ck1', '12.cl1'], 'contains': ['48.jf1', '48.lu1', '48.lw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1558054135131894, 1285751207061721, 1822051397507040, 359890668370854], 'label': '1536.408640176.24.gg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gg1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617434
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.gh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.ba1', '12.bm1', '12.bn1'], 'contains': ['48.jl1', '48.jm1', '48.jr1', '48.lo1', '48.mo1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822051397507041, 1822337812123926, 4466674913186214, 85621839531960, 359890668370854, 2208708020989111], 'label': '1536.408640176.24.gh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.gh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gh1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617435
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gi1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.bd1', '12.bm1'], 'contains': ['48.jm1', '48.jp1', '48.jr1', '48.ml1', '48.mm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822051397507041, 1822337812123926, 86082708280015, 1179756178121070, 359890668370854, 4913329002108150], 'label': '1536.408640176.24.gi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.gi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gi1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617436
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.bd1', '12.bn1'], 'contains': ['48.jm1', '48.jr1', '48.js1', '48.mn1', '48.mp1'], 'core': '96.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822051397507041, 1822337812123926, 86082708280015, 359890668370854, 4087853328153270, 3867638933942910], 'label': '1536.408640176.24.gj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.gj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gj1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617437
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.bg1', '12.bo1'], 'contains': ['48.jt1', '48.kc1', '48.kf1', '48.ld1', '48.ma1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822051397507041, 1822337812123926, 86082708280015, 1558054135131894, 4088034024283854, 359890668370854], 'label': '1536.408640176.24.gk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.gk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gk1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617438
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.gl1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bc1', '12.bo1', '12.bp1'], 'contains': ['48.kc1', '48.kd1', '48.kf1', '48.lz1', '48.mc1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179936722089831, 1822051397507041, 1822337812123926, 1558054135131894, 85621839531960, 359890668370854], 'label': '1536.408640176.24.gl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.gl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gl1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617439
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.bg1', '12.bp1'], 'contains': ['48.kc1', '48.kf1', '48.ki1', '48.mb1', '48.me1'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822051397507041, 1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 359890668370854], 'label': '1536.408640176.24.gm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.gm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gm1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617440
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '768.1088544', 'aut_weyl_index': 16, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '4.e1'], 'contains': ['16.c1', '16.i1', '24.b1', '32.a1'], 'core': '24.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.8.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '8.c1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '192.955'}
  • id: 62617441
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.bi1', '12.bz1'], 'contains': ['48.jj1', '48.jk1', '48.ka1', '48.kj1', '48.kl1', '48.kn2', '48.kt1', '48.kv1', '48.lh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 1821708766832454, 359890668370854, 486919748215, 1558328574027631], 'label': '1536.408640176.24.gn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.gn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gn1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617442
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.go1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.bi1', '12.bz1', '12.ca1'], 'contains': ['48.jj1', '48.jk1', '48.jl1', '48.jn1', '48.jy1', '48.jy2', '48.kb1', '48.kk1', '48.km1', '48.kn1', '48.kn2', '48.kr1', '48.ks1', '48.ln1', '48.mj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1821708766832454, 1558054135131895, 359890668370854, 1558428202046910], 'label': '1536.408640176.24.go1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.go1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.go1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617443
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.bj1', '12.by1'], 'contains': ['48.kl1', '48.kq1', '48.ku1', '48.kx1', '48.mf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 86082708280015, 359890668370854, 4466419656786750, 1558428202046910], 'label': '1536.408640176.24.gp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.gp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gp1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617444
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.gq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.bz1'], 'contains': ['48.jo1', '48.jp1', '48.jq1', '48.jt1', '48.ju1', '48.ke1', '48.kg1', '48.kl1', '48.km1', '48.ko1', '48.kw1', '48.ky1', '48.lb1', '48.lt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 1558054135131895, 359890668370854, 4466419656786750], 'label': '1536.408640176.24.gq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.gq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gq1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617445
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.gr1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.ca1', '12.cm1'], 'contains': ['48.jq1', '48.js1', '48.ju1', '48.kh1', '48.km1', '48.kp1', '48.kz1', '48.lc1', '48.lx1'], 'core': '96.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1821708766832454, 359890668370854, 486919748215, 1558428202046910], 'label': '1536.408640176.24.gr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gr1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617446
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.gs1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bl1', '12.by1', '12.cb1'], 'contains': ['48.kn1', '48.kq1', '48.lg1', '48.lj1', '48.mh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1822051397507040, 85621839531960, 359890668370854, 486919748215, 1558328574027631], 'label': '1536.408640176.24.gs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.gs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gs1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617447
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gt1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.bi1', '12.bz1', '12.cd1'], 'contains': ['48.jv1', '48.jw1', '48.jy1', '48.jy2', '48.jz1', '48.ka1', '48.kd1', '48.kj1', '48.kn1', '48.kn2', '48.ko1', '48.le1', '48.lf1', '48.lm1', '48.mi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 1821708766832455, 359890668370854, 1558328574027631], 'label': '1536.408640176.24.gt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.gt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gt1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617448
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gu1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.bi1', '12.ca1', '12.cd1', '12.cn1'], 'contains': ['48.jv1', '48.jw1', '48.kb1', '48.kk1', '48.kn2', '48.kp1', '48.li1', '48.ll1', '48.lq1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832455, 359890668370854, 3867165506497374, 1558328574027631], 'label': '1536.408640176.24.gu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gu1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617449
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bj1', '12.cb1', '12.cm1', '12.cn1', '12.co1'], 'contains': ['48.kp1', '48.kq1', '48.lp1', '48.lv1', '48.mg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 86082708280015, 1558054135131894, 1822051397507040, 359890668370854], 'label': '1536.408640176.24.gv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gv1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617450
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bk1', '12.cc1', '12.cm1', '12.cn1', '12.co1'], 'contains': ['48.kp1', '48.lu1', '48.lw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 1558054135131894, 1822051397507040, 359890668370854, 1286031869723215], 'label': '1536.408640176.24.gw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gw1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617451
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '3072.sh', 'aut_weyl_index': 4, 'centralizer': '768.a1', 'complements': ['768.d1', '768.e1', '768.f1', '768.i1', '768.l1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '6.k1', '8.f1', '8.g1', '8.h1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 1821708766832454, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '768.1090134', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '768.1090134'}
  • id: 62617452
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '768.1088546', 'aut_weyl_index': 16, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '4.f1'], 'contains': ['16.d1', '16.h1', '24.c1', '32.a1'], 'core': '24.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 83903140502304, 359890668370854, 1, 4087853328153270, 3867638933942910], 'label': '1536.408640176.8.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1', 'old_label': '8.d1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 62617453
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.gx1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.cd1', '12.co1'], 'contains': ['48.ke1', '48.kg1', '48.kh1', '48.ki1', '48.ko1', '48.kp1', '48.lr1', '48.ls1', '48.md1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832455, 1179562545343134, 1558054135131894, 359890668370854], 'label': '1536.408640176.24.gx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gx1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617454
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gy1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.bi1', '12.cf1'], 'contains': ['48.kr1', '48.ks1', '48.kt1', '48.kv1', '48.la1', '48.li1', '48.lk1', '48.lm1', '48.mi1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832454, 359890668370854, 1179562545343135, 1558328574027631], 'label': '1536.408640176.24.gy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.gy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gy1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617455
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.gz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.bj1', '12.ce1'], 'contains': ['48.ku1', '48.kx1', '48.la1', '48.mg1', '48.mk1'], 'core': '96.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 86082708280015, 1821708766832454, 1558054135131895, 359890668370854], 'label': '1536.408640176.24.gz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.gz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.gz1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617456
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.ha1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bg1', '12.bq1', '12.ci1', '12.cm1', '12.cp1'], 'contains': ['48.lc1', '48.ld1', '48.lp1', '48.lu1', '48.mb1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 1822051397507040, 359890668370854, 1179562545343135], 'label': '1536.408640176.24.ha1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ha1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ha1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617457
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.hb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bh1', '12.br1', '12.ci1', '12.cm1', '12.cp1'], 'contains': ['48.lc1', '48.lv1', '48.lw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1179562545343135, 1779060146112295], 'label': '1536.408640176.24.hb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hb1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617458
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '24.hc1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.cf1', '12.cp1'], 'contains': ['48.kw1', '48.ky1', '48.kz1', '48.la1', '48.lb1', '48.lc1', '48.lr1', '48.ls1', '48.ly1'], 'core': '96.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 1821708766832454, 1558054135131895, 359890668370854], 'label': '1536.408640176.24.hc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hc1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617459
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.hd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bl1', '12.ce1', '12.cg1'], 'contains': ['48.lg1', '48.lj1', '48.lk1', '48.mh1', '48.mk1'], 'core': '96.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832454, 359890668370854, 85621839531961, 1558328574027631], 'label': '1536.408640176.24.hd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '24.hd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hd1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617460
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.he1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.ba1', '12.bu1', '12.bv1', '12.ci1', '12.cj1', '12.cn1', '12.cq1'], 'contains': ['48.ll1', '48.lo1', '48.lp1', '48.lw1', '48.mo1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 85621839531961, 4088271101448655], 'label': '1536.408640176.24.he1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.he1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.he1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617461
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.hf1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.bb1', '12.bw1', '12.bx1', '12.ci1', '12.cj1', '12.cn1', '12.cq1'], 'contains': ['48.ll1', '48.lu1', '48.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1779521014819081, 1822051397507040, 359890668370854, 4088271101448655], 'label': '1536.408640176.24.hf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hf1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617462
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.hg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.bi1', '12.cf1', '12.cq1'], 'contains': ['48.le1', '48.lf1', '48.lh1', '48.lk1', '48.ll1', '48.ln1', '48.lq1', '48.ly1', '48.mj1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 1821708766832454, 359890668370854, 1558328574027631], 'label': '1536.408640176.24.hg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hg1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617463
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '384.18198', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['16.e1', '16.j1', '24.bd1', '32.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 83903140502304, 359890668370854, 1, 4466419656786750], 'label': '1536.408640176.8.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '8.e1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '96.71'}
  • id: 62617464
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.hh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.bc1', '12.bq1', '12.bs1', '12.ck1', '12.cl1', '12.cn1', '12.cq1'], 'contains': ['48.lp1', '48.lq1', '48.lu1', '48.lz1', '48.mc1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 85621839531961], 'label': '1536.408640176.24.hh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hh1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617465
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.hi1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bd1', '12.bu1', '12.ck1', '12.co1', '12.cp1'], 'contains': ['48.lp1', '48.ls1', '48.lw1', '48.ml1', '48.mn1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 1822051397507040, 4087853328153271, 359890668370854], 'label': '1536.408640176.24.hi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hi1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617466
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.hj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bd1', '12.bv1', '12.cl1', '12.cm1', '12.cr1'], 'contains': ['48.lp1', '48.lw1', '48.lx1', '48.mm1', '48.mp1'], 'core': '96.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 1179756178121070, 359890668370854, 4087853328153270], 'label': '1536.408640176.24.hj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hj1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617467
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '24.hk1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.be1', '12.br1', '12.bt1', '12.ck1', '12.cl1', '12.cn1', '12.cq1'], 'contains': ['48.lq1', '48.lv1', '48.lw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1558054135131894, 1779521014819081, 1822051397507040, 359890668370854], 'label': '1536.408640176.24.hk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hk1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617468
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.hl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bf1', '12.bw1', '12.ck1', '12.co1', '12.cp1'], 'contains': ['48.ls1', '48.lu1', '48.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1822051397507040, 4087853328153271, 359890668370854, 1779060146112295], 'label': '1536.408640176.24.hl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hl1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617469
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.hm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bf1', '12.bx1', '12.cl1', '12.cm1', '12.cr1'], 'contains': ['48.lu1', '48.lv1', '48.lx1'], 'core': '96.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1179756178121070, 85634286366367, 359890668370854, 4087853328153270], 'label': '1536.408640176.24.hm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hm1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617470
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.hn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bj1', '12.cg1', '12.cp1', '12.cq1', '12.cr1'], 'contains': ['48.lp1', '48.lv1', '48.ly1', '48.mf1', '48.mk1'], 'core': '96.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 86082708280015, 1558054135131894, 1821708766832454, 359890668370854], 'label': '1536.408640176.24.hn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hn1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617471
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.ho1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bk1', '12.ch1', '12.cp1', '12.cq1', '12.cr1'], 'contains': ['48.lu1', '48.lw1', '48.ly1'], 'core': '96.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1558054135131894, 1821708766832454, 359890668370854, 1286031869723215], 'label': '1536.408640176.24.ho1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ho1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ho1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617472
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.hp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bg1', '12.bs1', '12.cj1', '12.co1', '12.cr1'], 'contains': ['48.lp1', '48.lu1', '48.ma1', '48.md1', '48.me1'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 1822051397507040, 359890668370854], 'label': '1536.408640176.24.hp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hp1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617473
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '24.hq1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.bh1', '12.bt1', '12.cj1', '12.co1', '12.cr1'], 'contains': ['48.lv1', '48.lw1', '48.md1'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131894, 1822051397507040, 85634286366367, 359890668370854], 'label': '1536.408640176.24.hq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.hq1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617474
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '384.17948', 'aut_weyl_index': 32, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '4.d1'], 'contains': ['16.b1', '16.l1', '24.cr1', '32.b1', '32.e1'], 'core': '48.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 86082708280015, 1821708766832454, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.8.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '8.f1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 62617475
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.c1', '8.d1', '8.e1', '16.a1'], 'contains': ['64.a1', '64.e1', '96.a1', '128.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.32.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '32.a1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617476
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '8.g1', '8.h1', '16.a1'], 'contains': ['64.a1', '64.f1', '96.cj1', '128.b1'], 'core': '192.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.32.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '32.b1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617477
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '16.f1'], 'contains': ['64.c1', '64.g1', '96.cs1', '128.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [735925060135, 486919748214, 83903140502304, 723416299248, 1], 'label': '1536.408640176.32.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.f1', 'old_label': '32.c1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617478
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1'], 'contains': ['64.c2', '64.h1', '96.ct1', '128.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [735925060135, 795377379173040, 1821864384688488, 83903140502304, 1], 'label': '1536.408640176.32.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1', 'old_label': '32.d1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 62617479
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '16.f1'], 'contains': ['64.c1', '64.j1', '96.cy1', '128.b1'], 'core': '768.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [486919748214, 86082708280015, 83903140502304, 723416299248, 1], 'label': '1536.408640176.32.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.f1', 'old_label': '32.e1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617480
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.g1'], 'contains': ['64.d1', '64.i1', '96.cz1', '128.b1'], 'core': '768.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [86082708280015, 2587635382200510, 3058889034877584, 83903140502304, 1], 'label': '1536.408640176.32.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.f1', 'old_label': '32.f1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617481
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.i1', '8.j1', '8.k1', '16.a1'], 'contains': ['64.e1', '64.f1', '96.in1', '128.d1'], 'core': '192.b1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 83903140502304, 359890668370854, 85621839531961], 'label': '1536.408640176.32.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '32.g1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617482
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.5678', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '16.c1', '16.i1', '16.k1'], 'contains': ['96.b1', '128.c1', '128.e1'], 'core': '96.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131894, 83903140502304, 359890668370854], 'label': '1536.408640176.32.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '32.h1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1', 'subgroup_fusion': None, 'weyl_group': '192.955'}
  • id: 62617483
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '32.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '192.955', 'aut_weyl_index': 64, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '16.b1', '16.g1', '16.l1'], 'contains': ['96.c1', '128.c1', '128.f1', '128.f2'], 'core': '96.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1821708766832454, 83903140502304, 359890668370854], 'label': '1536.408640176.32.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '32.i1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.i1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 62617484
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '32.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.5677', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '16.d1', '16.h1', '16.m1'], 'contains': ['96.d1', '128.c1'], 'core': '96.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1822337812123926, 83903140502304, 359890668370854, 3867638933942910, 4087853328153270], 'label': '1536.408640176.32.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1', 'old_label': '32.j1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.j1', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 62617487
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '32.l1', 'aut_quo_index': None, 'aut_stab_index': 128, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.i1', '16.f1'], 'contains': ['64.g1', '64.j1', '96.mb1', '128.d1'], 'core': '1536.a1', 'coset_action_label': '32T97068', 'count': 128, 'diagramx': None, 'generators': [735925060135, 486919748214, 83903140502304, 723416299248, 85621839531961], 'label': '1536.408640176.32.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.f1', 'old_label': '32.l1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.l1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617488
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '24.a1', '24.cp1', '24.cq1', '24.cr1'], 'contains': ['96.c1', '96.bk1', '96.cg1', '96.ea1', '96.jt1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.48.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': ['12.a1', '24.a1'], 'normal_contains': ['96.c1', '192.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '768.1090134', 'quotient_action_image': '24.12', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617489
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.195', 'aut_weyl_index': 128, 'centralizer': '48.b1', 'complements': ['32.l1'], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '24.b1', '24.bl1', '24.ch1', '24.cv1'], 'contains': ['96.b1', '96.br1', '96.ch1', '96.ef1', '96.kd1'], 'core': '48.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131894, 359890668370854, 1], 'label': '1536.408640176.48.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': ['12.a1', '24.b1'], 'normal_contains': ['96.b1', '192.a1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '768.1090134', 'quotient_action_image': '48.48', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 62617490
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.195', 'aut_weyl_index': 128, 'centralizer': '48.c1', 'complements': ['32.l1'], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '24.c1', '24.br1', '24.cg1', '24.cz1'], 'contains': ['96.d1', '96.cl1', '96.lp1'], 'core': '48.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 1, 3867638933942910, 4087853328153270], 'label': '1536.408640176.48.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': ['12.a1', '24.c1'], 'normal_contains': ['96.d1', '192.a1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '768.1090134', 'quotient_action_image': '48.48', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 62617491
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '24.a1', 'complements': ['32.f1'], 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '24.a1', '24.ep1', '24.eq1', '24.er1'], 'contains': ['96.c1', '96.eo1', '96.fb1', '96.ii1', '96.jg1'], 'core': '48.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1821708766832454, 359890668370854], 'label': '1536.408640176.48.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': ['12.b1', '24.a1'], 'normal_contains': ['96.c1', '192.b1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': '1536.408640176', 'quotient_action_image': '24.12', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617492
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '384.20100', 'aut_weyl_index': 32, 'centralizer': '192.a1', 'complements': ['32.l1', '32.e1', '32.f1'], 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '24.c1', '24.dj1', '24.eh1', '24.ew1'], 'contains': ['96.d1', '96.il1', '96.kn1'], 'core': '48.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 3867638933942910, 4087853328153270], 'label': '1536.408640176.48.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': ['12.b1', '24.c1'], 'normal_contains': ['96.d1', '192.b1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': '1536.408640176', 'quotient_action_image': '48.48', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 62617493
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '384.20100', 'aut_weyl_index': 32, 'centralizer': '192.a1', 'complements': ['32.l1', '32.e1'], 'conjugacy_class_count': 2, 'contained_in': ['16.i1', '24.b1', '24.dq1', '24.ef1', '24.ez1'], 'contains': ['96.b1', '96.im1', '96.kr1'], 'core': '48.f1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 359890668370854], 'label': '1536.408640176.48.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': ['12.b1', '24.b1'], 'normal_contains': ['96.b1', '192.b1'], 'normalizer': '1.a1', 'old_label': '48.f1', 'projective_image': '1536.408640176', 'quotient_action_image': '48.48', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 62617494
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.e1'], 'contains': ['96.e1', '96.g1', '96.o1', '96.p1', '96.bk1', '96.co1', '96.cr1', '96.ct1', '96.da1', '96.da2', '96.en1', '96.en2', '96.eo1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832454, 1, 360096412929841], 'label': '1536.408640176.48.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.g1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617495
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '24.g1', '24.q1'], 'contains': ['96.f1', '96.h1', '96.i1', '96.q1', '96.u1', '96.bc1', '96.be1', '96.ep1', '96.eq1', '96.eu1', '96.ev1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 359890668370854, 1, 3867165506497374], 'label': '1536.408640176.48.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.h1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617496
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '384.17949', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '4.f1'], 'contains': ['16.d1', '16.m1', '24.cz1', '32.b1'], 'core': '48.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 83903140502304, 359890668370854, 1, 4087853328153270, 3867638933942910], 'label': '1536.408640176.8.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1', 'old_label': '8.h1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 62617497
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '48.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '24.g1', '24.t1'], 'contains': ['96.f1', '96.j1', '96.t1', '96.v1', '96.bg1', '96.er1', '96.ew1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821696294037009, 795533260052208, 1822051397507040, 85621839531960, 1], 'label': '1536.408640176.48.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.i1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617498
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1', '24.h1', '24.t1'], 'contains': ['96.f1', '96.k1', '96.t1', '96.bh1', '96.cp1', '96.db1', '96.es1', '96.ex1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 795533260052208, 85621839531960, 293647592166, 1], 'label': '1536.408640176.48.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.j1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617499
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '48.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '24.i1', '24.t1'], 'contains': ['96.f1', '96.l1', '96.v1', '96.bi1', '96.et1', '96.ey1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 795533260052208, 293647592166, 1, 1779365212353054], 'label': '1536.408640176.48.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.k1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617500
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '48.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1', '24.i1', '24.v1'], 'contains': ['96.f1', '96.bj1', '96.cq1', '96.dc1', '96.ez1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 86101382114928, 795533260052208, 293647592166, 1], 'label': '1536.408640176.48.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.l1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617501
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.h1', '24.i1'], 'contains': ['96.e1', '96.f1', '96.p1', '96.w1', '96.bk1', '96.co1', '96.cr1', '96.cs1', '96.dd1', '96.dd2', '96.fa1', '96.fa2', '96.fb1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1821708766832454, 1], 'label': '1536.408640176.48.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.m1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617502
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1', '24.q1'], 'contains': ['96.g1', '96.h1', '96.i1', '96.x1', '96.bb1', '96.bc1', '96.be1', '96.fc1', '96.fd1', '96.ff1', '96.fg1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 359890668370854, 1, 3867165506497374], 'label': '1536.408640176.48.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.n1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617503
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.261', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '24.j1', '24.t1'], 'contains': ['96.g1', '96.j1', '96.ba1', '96.bh1', '96.bi1', '96.fe1', '96.fh1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821696294037009, 795533260052208, 85621839531960, 293647592166, 1], 'label': '1536.408640176.48.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.o1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617504
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.o2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1', '24.t1'], 'contains': ['96.g1', '96.k1', '96.l1', '96.ba1', '96.bg1', '96.fe2', '96.fh2'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 795533260052208, 1822051397507040, 85621839531960, 1], 'label': '1536.408640176.48.o2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.o2', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617505
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1', '24.v1'], 'contains': ['96.g1', '96.bj1', '96.fi1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821696294037009, 86101382114928, 795533260052208, 293647592166, 1], 'label': '1536.408640176.48.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.p1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617506
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.q1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '24.j1', '24.x1'], 'contains': ['96.h1', '96.j1', '96.l1', '96.bm1', '96.bo1', '96.bx1', '96.cb1', '96.fj1', '96.fp1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1558054135131894, 795533260052208, 1, 1779365212353054], 'label': '1536.408640176.48.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.q1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.q1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617507
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '384.17948', 'aut_weyl_index': 32, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '4.d1'], 'contains': ['16.g1', '16.l1', '24.er1', '32.g1', '32.l1'], 'core': '48.d1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1821708766832454, 83903140502304, 359890668370854, 85621839531961], 'label': '1536.408640176.8.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '8.i1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 62617508
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.r1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '24.j1', '24.x1'], 'contains': ['96.h1', '96.j1', '96.k1', '96.bm1', '96.bn1', '96.bx1', '96.bz1', '96.fk1', '96.fq1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1558054135131894, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.48.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.r1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.r1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617509
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.s1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '24.j1', '24.ba1'], 'contains': ['96.i1', '96.j1', '96.l1', '96.bs1', '96.bv1', '96.by1', '96.cc1', '96.fl1', '96.fm1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 4466674913186214, 795533260052208, 1, 1779365212353054], 'label': '1536.408640176.48.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.s1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.s1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617510
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.t1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '24.j1', '24.ba1'], 'contains': ['96.i1', '96.j1', '96.k1', '96.bs1', '96.bt1', '96.by1', '96.ca1', '96.fn1', '96.fo1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 4466674913186214, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.48.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.t1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.t1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617511
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.u1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bs1'], 'contains': ['96.m1', '96.n1', '96.o1', '96.y1', '96.z1', '96.bd1', '96.bf1', '96.fr1', '96.fs1', '96.ft1', '96.fu1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1179562545343134, 795533260052208, 1], 'label': '1536.408640176.48.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '48.u1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.u1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617512
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.v1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '24.h1', '24.bv1'], 'contains': ['96.p1', '96.bh1', '96.bj1', '96.cv1', '96.cx1', '96.de1', '96.fv1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [281175158881, 795533260052208, 85621839531960, 293647592166, 1], 'label': '1536.408640176.48.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.v1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.v1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617513
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.w1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '24.i1', '24.bv1'], 'contains': ['96.p1', '96.bi1', '96.bj1', '96.fw1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 1822057638927127, 293647592166, 1, 1779365212353054], 'label': '1536.408640176.48.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.w1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.w1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617514
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.x1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '48.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '24.g1', '24.be1'], 'contains': ['96.q1', '96.t1', '96.v1', '96.bm1', '96.bs1', '96.fx1', '96.gb1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795533260052208, 442804380649, 85621839531960, 4466613129942960, 1], 'label': '1536.408640176.48.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.x1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.x1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617515
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.y1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1', '24.k1', '24.be1'], 'contains': ['96.q1', '96.t1', '96.bn1', '96.bt1', '96.cu1', '96.df1', '96.fy1', '96.gc1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1558054135131894, 795533260052208, 442804380649, 85621839531960, 1], 'label': '1536.408640176.48.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.y1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.y1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617516
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.z1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '48.z1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '24.l1', '24.be1'], 'contains': ['96.q1', '96.v1', '96.bo1', '96.bv1', '96.fz1', '96.gd1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1558054135131894, 795533260052208, 442804380649, 1, 1779365212353054], 'label': '1536.408640176.48.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.z1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.z1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617517
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ba1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1', '24.l1', '24.bh1'], 'contains': ['96.q1', '96.bq1', '96.ge1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1558054135131894, 795533260052208, 442804380649, 1, 1285751207061720], 'label': '1536.408640176.48.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.ba1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ba1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617518
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '384.5677', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '4.f1'], 'contains': ['16.h1', '16.m1', '24.ew1', '32.g1'], 'core': '48.e1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 83903140502304, 359890668370854, 85621839531961, 4087853328153270, 3867638933942910], 'label': '1536.408640176.8.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1', 'old_label': '8.j1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': '192.956'}
  • id: 62617519
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.bb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1', '24.l1', '24.bl1'], 'contains': ['96.q1', '96.r1', '96.bl1', '96.bp1', '96.br1', '96.ga1', '96.ga2', '96.gf1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 281175158881, 1558054135131894, 359890668370854, 1], 'label': '1536.408640176.48.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.bb1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bb1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617520
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.bc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.m1', '24.n1', '24.bn1'], 'contains': ['96.s1', '96.u1', '96.bu1', '96.bw1', '96.cd1', '96.gg1', '96.gh1', '96.gi1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1, 4087853328153270, 1558428202046910], 'label': '1536.408640176.48.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.bc1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bc1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617521
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bd1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '48.bd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '24.g1', '24.bo1'], 'contains': ['96.t1', '96.u1', '96.v1', '96.bx1', '96.by1', '96.gj1', '96.gk1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1558502850424320, 795533260052208, 442804380649, 85621839531960, 1], 'label': '1536.408640176.48.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.bd1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bd1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617522
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.be1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '48.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1', '24.m1', '24.bo1'], 'contains': ['96.t1', '96.u1', '96.bz1', '96.ca1', '96.gl1', '96.gm1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 442804380649, 85621839531960, 1], 'label': '1536.408640176.48.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.be1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.be1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617523
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bf1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2216', 'aut_weyl_index': 96, 'centralizer': '48.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '24.n1', '24.bo1'], 'contains': ['96.u1', '96.v1', '96.cb1', '96.cc1', '96.gn1', '96.go1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 442804380649, 1, 1779365212353054], 'label': '1536.408640176.48.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.bf1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bf1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617524
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.bb1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.m1', '24.n1', '24.bq1'], 'contains': ['96.u1', '96.ce1', '96.gp1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1558502850424320, 795533260052208, 442804380649, 1, 3982369238227080], 'label': '1536.408640176.48.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.bg1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617525
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.bh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bs1'], 'contains': ['96.m1', '96.n1', '96.r1', '96.s1', '96.w1', '96.bd1', '96.bf1', '96.gq1', '96.gr1', '96.gs1', '96.gt1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1179562545343134, 795533260052208, 50346753847, 1], 'label': '1536.408640176.48.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '48.bh1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bh1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617526
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bi1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.261', 'aut_weyl_index': 192, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.j1', '24.o1', '24.be1'], 'contains': ['96.x1', '96.ba1', '96.bn1', '96.bo1', '96.bs1', '96.gu1', '96.gw1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1558054135131894, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.48.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.bi1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617527
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bi2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1', '24.be1'], 'contains': ['96.x1', '96.ba1', '96.bm1', '96.bt1', '96.bv1', '96.gu2', '96.gw2'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 795533260052208, 85621839531960, 4466613129942960, 1], 'label': '1536.408640176.48.bi2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.bi2', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617528
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '48.bj1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.o1', '24.bh1'], 'contains': ['96.x1', '96.bq1', '96.cw1', '96.dg1', '96.gx1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1558054135131894, 795533260052208, 1, 1285751207061720], 'label': '1536.408640176.48.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.bj1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617529
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '384.5678', 'aut_weyl_index': 32, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '4.e1'], 'contains': ['16.i1', '16.k1', '24.ez1', '32.g1'], 'core': '48.f1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 83903140502304, 359890668370854, 85621839531961], 'label': '1536.408640176.8.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '8.k1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': '192.955'}
  • id: 62617530
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.bk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.o1', '24.bl1'], 'contains': ['96.x1', '96.y1', '96.bl1', '96.bp1', '96.br1', '96.gv1', '96.gv2', '96.gy1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894, 1822057638927127, 359890668370854, 1], 'label': '1536.408640176.48.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.bk1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bk1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617531
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.bl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.p1', '24.bn1'], 'contains': ['96.z1', '96.bb1', '96.bu1', '96.bw1', '96.cd1', '96.gz1', '96.ha1', '96.hb1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795527018642215, 1822337812123926, 1, 4087853328153270, 1558428202046910], 'label': '1536.408640176.48.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.bl1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bl1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617532
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.261', 'aut_weyl_index': 192, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.j1', '24.p1', '24.bo1'], 'contains': ['96.ba1', '96.bb1', '96.bx1', '96.ca1', '96.cc1', '96.hc1', '96.hd1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 4466674913186214, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.48.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.bm1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bm1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617533
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bm2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1', '24.bo1'], 'contains': ['96.ba1', '96.bb1', '96.by1', '96.bz1', '96.cb1', '96.hc2', '96.hd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1558502850424320, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.48.bm2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.bm2', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bm2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617534
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '48.bn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.p1', '24.bq1'], 'contains': ['96.bb1', '96.ce1', '96.he1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1558502850424320, 795533260052208, 1, 3982369238227080], 'label': '1536.408640176.48.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.bn1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bn1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617535
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.bo1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '24.j1', '24.ca1'], 'contains': ['96.bc1', '96.bg1', '96.bi1', '96.bm1', '96.bo1', '96.by1', '96.cc1', '96.hf1', '96.hj1', '96.hn1', '96.hv1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 1558054135131894, 795533260052208, 1822051397507040, 1], 'label': '1536.408640176.48.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.bo1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bo1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617536
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.bp1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '24.j1', '24.ca1'], 'contains': ['96.bc1', '96.bg1', '96.bh1', '96.bm1', '96.bn1', '96.by1', '96.ca1', '96.hg1', '96.hk1', '96.ho1', '96.hw1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779421385188801, 1558054135131894, 795533260052208, 1822051397507040, 1], 'label': '1536.408640176.48.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.bp1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bp1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617537
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bq1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '24.j1', '24.ci1'], 'contains': ['96.be1', '96.bg1', '96.bi1', '96.bs1', '96.bv1', '96.bx1', '96.cb1', '96.hh1', '96.hr1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 1822051397507040, 85621839531960, 1, 1558328574027631], 'label': '1536.408640176.48.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.bq1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617538
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '24.j1', '24.ci1'], 'contains': ['96.be1', '96.bg1', '96.bh1', '96.bs1', '96.bt1', '96.bx1', '96.bz1', '96.hi1', '96.hs1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [4466413418965225, 795533260052208, 1822051397507040, 85621839531960, 1], 'label': '1536.408640176.48.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.br1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617539
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bs1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '24.h1', '24.cr1'], 'contains': ['96.bh1', '96.bj1', '96.bk1', '96.cy1', '96.dh1', '96.hl1', '96.ib1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 86082708280015, 795533260052208, 723416299248, 1], 'label': '1536.408640176.48.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.bs1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bs1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618046
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fi1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.p1', '48.dz1', '48.es1', '48.et1', '48.gn1'], 'contains': ['192.cm1', '192.fk1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821696294037009, 795533260052208, 293647592166, 86101382114929], 'label': '1536.408640176.96.fi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.fi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fi1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617540
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.1090187', 'aut_weyl_index': 16, 'centralizer': '192.a1', 'complements': ['128.d1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1', '6.k1'], 'contains': ['24.d1', '24.cc1', '24.cg1', '24.ch1', '24.cp1', '24.gq1', '24.gr1', '24.gx1', '24.hc1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1179562545343134, 1558054135131894, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.12.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.d1', '48.a1', '48.b1', '48.c1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '768.1090134', 'quotient_action_image': '12.4', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 62617541
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bt1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '24.i1', '24.cr1'], 'contains': ['96.bi1', '96.bj1', '96.bk1', '96.hm1', '96.ic1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1779421385188801, 795533260052208, 723416299248, 1], 'label': '1536.408640176.48.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.bt1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bt1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617542
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.bu1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.k1', '24.o1', '24.cu1'], 'contains': ['96.bn1', '96.bp1', '96.bq1', '96.hx1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [4087934280229231, 1558054135131894, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.48.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.bu1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bu1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617543
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.bv1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.l1', '24.o1', '24.cu1'], 'contains': ['96.bo1', '96.bp1', '96.bq1', '96.hy1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179737021691025, 1558054135131894, 795533260052208, 1, 1779365212353054], 'label': '1536.408640176.48.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.bv1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bv1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617544
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bw1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.k1', '24.o1', '24.cv1'], 'contains': ['96.bn1', '96.bq1', '96.br1', '96.cz1', '96.di1', '96.hp1', '96.hz1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 86082708280015, 795533260052208, 4466613129942960, 1], 'label': '1536.408640176.48.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.bw1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bw1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617545
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.bx1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.l1', '24.o1', '24.cv1'], 'contains': ['96.bo1', '96.bq1', '96.br1', '96.hq1', '96.ia1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779421385188801, 1179562545343134, 795533260052208, 4466613129942960, 1], 'label': '1536.408640176.48.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.bx1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bx1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617546
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.by1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.261', 'aut_weyl_index': 192, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.m1', '24.p1', '24.cw1'], 'contains': ['96.bw1', '96.ca1', '96.ce1', '96.ht1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 85621839531960, 1, 4088271101448655], 'label': '1536.408640176.48.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.by1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.by1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617547
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.bz1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.261', 'aut_weyl_index': 192, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.n1', '24.p1', '24.cw1'], 'contains': ['96.bw1', '96.cc1', '96.ce1', '96.hu1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 1, 1179581701804201, 1779365212353054], 'label': '1536.408640176.48.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.bz1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bz1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617548
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ca1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.m1', '24.p1', '24.cx1'], 'contains': ['96.ca1', '96.cd1', '96.ce1', '96.id1', '96.ie1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 1179756178121070, 795533260052208, 1, 4913329002108150], 'label': '1536.408640176.48.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.ca1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ca1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617549
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.cb1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.n1', '24.p1', '24.cx1'], 'contains': ['96.cc1', '96.cd1', '96.ce1', '96.if1', '96.ig1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779421385188801, 1179756178121070, 795533260052208, 1, 4913329002108150], 'label': '1536.408640176.48.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.cb1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cb1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617550
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.cc1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.q1', '24.r1', '24.s1', '24.t1', '24.u1', '24.v1'], 'contains': ['96.a1', '96.e1', '96.f1', '96.g1', '96.cf1', '96.cg1', '96.dj1', '96.dj2', '96.ih1', '96.ii1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 359890668370854, 1], 'label': '1536.408640176.48.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cc1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cc1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617551
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1090187', 'aut_weyl_index': 16, 'centralizer': '192.a1', 'complements': ['128.d1', '128.b1'], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '6.a1', '6.o1'], 'contains': ['24.d1', '24.eb1', '24.ef1', '24.eh1', '24.eq1', '24.gb1', '24.gc1', '24.gf1', '24.hg1'], 'core': '12.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1179562545343134, 1558054135131894, 1821708766832454, 359890668370854], 'label': '1536.408640176.12.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.d1', '48.d1', '48.e1', '48.f1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '1536.408640176', 'quotient_action_image': '12.4', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 62617552
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.cd1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.q1', '24.r1', '24.w1', '24.x1', '24.y1', '24.z1'], 'contains': ['96.a1', '96.h1', '96.ch1', '96.ck1', '96.dk1', '96.ij1', '96.im1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 359890668370854, 1], 'label': '1536.408640176.48.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cd1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cd1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617553
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.ce1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '24.q1', '24.s1', '24.w1', '24.ba1', '24.bb1', '24.bc1'], 'contains': ['96.a1', '96.i1', '96.ci1', '96.cl1', '96.dl1', '96.ik1', '96.il1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 4466674913186214, 359890668370854, 1], 'label': '1536.408640176.48.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ce1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ce1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617554
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.cf1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.t1', '24.x1', '24.ba1'], 'contains': ['96.a1', '96.j1', '96.k1', '96.l1', '96.cj1', '96.dm1', '96.in1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.48.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.cf1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cf1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617555
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.r1', '24.s1', '24.u1', '24.w1', '24.y1', '24.bb1', '24.bd1'], 'contains': ['96.a1', '96.cm1', '96.cn1', '96.io1', '96.ip1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 359890668370854, 1], 'label': '1536.408640176.48.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cg1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617556
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '48.ch1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.q1', '24.be1', '24.bf1', '24.bh1', '24.bi1', '24.bl1', '24.bs1'], 'contains': ['96.m1', '96.q1', '96.x1', '96.cf1', '96.ch1', '96.ci1', '96.dn1', '96.dn2', '96.iq1', '96.is1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 359890668370854, 1], 'label': '1536.408640176.48.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ch1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617557
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.ci1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.r1', '24.bg1', '24.bj1', '24.bk1', '24.bl1', '24.bs1', '24.bt1'], 'contains': ['96.r1', '96.y1', '96.cf1', '96.ch1', '96.cn1', '96.do1', '96.ir1', '96.iv1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 359890668370854, 1], 'label': '1536.408640176.48.ci1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ci1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617558
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.cj1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.cm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.s1', '24.bg1', '24.bi1', '24.bm1', '24.bn1', '24.bs1', '24.bu1'], 'contains': ['96.s1', '96.z1', '96.cf1', '96.ci1', '96.cm1', '96.dp1', '96.it1', '96.iu1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 1, 4088271101448655], 'label': '1536.408640176.48.cj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cj1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cj1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617559
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ck1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '48.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.t1', '24.be1', '24.bo1'], 'contains': ['96.t1', '96.v1', '96.ba1', '96.cf1', '96.cj1', '96.dq1', '96.iw1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.48.ck1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.ck1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ck1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617560
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.cl1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '48.cl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.q1', '24.bj1', '24.bn1', '24.bo1', '24.bq1', '24.br1', '24.bw1'], 'contains': ['96.u1', '96.bb1', '96.cf1', '96.ck1', '96.cl1', '96.dr1', '96.ix1', '96.iy1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 4466674913186214, 359890668370854, 1], 'label': '1536.408640176.48.cl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cl1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cl1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617561
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.cm1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.cj1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.r1', '24.bf1', '24.bj1', '24.bm1', '24.bp1', '24.bu1', '24.bw1'], 'contains': ['96.cf1', '96.ck1', '96.cm1', '96.iz1', '96.ja1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1179756178121070, 359890668370854, 1], 'label': '1536.408640176.48.cm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cm1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cm1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617562
    {'ambient': '1536.408640176', 'aut_centralizer_order': 1, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '768.a1', 'complements': ['768.d1', '768.a1', '768.b1', '768.e1', '768.f1', '768.i1', '768.g1', '768.h1', '768.l1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '6.o1', '8.i1', '8.j1', '8.k1'], 'core': '2.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 1821708766832454, 83903140502304, 359890668370854, 85621839531961], 'label': '1536.408640176.2.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '1536.408640176', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '768.1090134'}
  • id: 62617563
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1024.dly', 'aut_weyl_index': 12, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '6.d1', '6.f1'], 'contains': ['24.f1', '24.g1', '24.j1', '24.q1', '24.t1', '24.x1', '24.ba1', '24.be1', '24.bo1', '24.ca1', '24.ci1', '24.da1', '24.de1', '24.dm1', '24.ds1', '24.dz1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.12.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.c1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617564
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.cn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.cn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.s1', '24.bi1', '24.bk1', '24.bp1', '24.br1', '24.bt1', '24.bw1'], 'contains': ['96.cf1', '96.cl1', '96.cn1', '96.jb1', '96.jc1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 4466674913186214, 359890668370854, 1], 'label': '1536.408640176.48.cn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cn1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cn1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617565
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.co1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.co1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.u1', '24.bg1', '24.bk1', '24.bm1', '24.bp1', '24.bs1', '24.bw1'], 'contains': ['96.n1', '96.cf1', '96.cm1', '96.cn1', '96.ds1', '96.jd1', '96.je1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179756178121070, 359890668370854, 1], 'label': '1536.408640176.48.co1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.co1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.co1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617566
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '48.cp1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.bs1', '24.bt1', '24.bu1', '24.bv1', '24.bw1'], 'contains': ['96.o1', '96.p1', '96.w1', '96.cf1', '96.cg1', '96.dt1', '96.dt2', '96.jf1', '96.jg1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 486919748214, 359890668370854, 1], 'label': '1536.408640176.48.cp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cp1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cp1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617567
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.cq1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.q1', '24.bt1', '24.bz1', '24.ca1', '24.cb1', '24.cd1', '24.ce1', '24.cf1', '24.cg1', '24.ch1', '24.cp1'], 'contains': ['96.bc1', '96.cg1', '96.ch1', '96.cl1', '96.du1', '96.jh1', '96.jl1', '96.jv1', '96.ko1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 359890668370854, 1, 3867165506497374], 'label': '1536.408640176.48.cq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cq1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cq1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617568
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.r1', '24.bs1', '24.bx1', '24.by1', '24.cc1', '24.ch1', '24.cp1'], 'contains': ['96.bd1', '96.cg1', '96.ch1', '96.cm1', '96.dv1', '96.ji1', '96.jm1', '96.jw1', '96.kp1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1179562545343134, 359890668370854, 1], 'label': '1536.408640176.48.cr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cr1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617569
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.cs1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.q1', '24.bu1', '24.bx1', '24.ci1', '24.ck1', '24.cl1', '24.cq1'], 'contains': ['96.be1', '96.cg1', '96.ci1', '96.ck1', '96.dw1', '96.jj1', '96.kf1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 3867807024594391, 359890668370854, 1], 'label': '1536.408640176.48.cs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cs1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cs1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617570
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.ct1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.s1', '24.bs1', '24.by1', '24.bz1', '24.cj1', '24.cl1', '24.cq1'], 'contains': ['96.bf1', '96.cg1', '96.ci1', '96.cn1', '96.dx1', '96.jk1', '96.kg1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 359890668370854, 1, 4088271101448655], 'label': '1536.408640176.48.ct1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ct1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ct1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617571
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.cu1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.t1', '24.bv1', '24.ca1', '24.ci1', '24.cm1', '24.cn1', '24.cr1'], 'contains': ['96.bg1', '96.bh1', '96.bi1', '96.cg1', '96.cj1', '96.dy1', '96.dy2', '96.jn1', '96.ky1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1822051397507040, 359890668370854, 1], 'label': '1536.408640176.48.cu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.cu1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cu1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617572
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.cv1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.r1', '24.bw1', '24.bx1', '24.cb1', '24.cj1', '24.co1', '24.cq1'], 'contains': ['96.cg1', '96.ck1', '96.cn1', '96.jo1', '96.kz1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 486919748214, 359890668370854, 1], 'label': '1536.408640176.48.cv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cv1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cv1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617573
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.cw1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.s1', '24.bw1', '24.cc1', '24.cg1', '24.cl1', '24.co1', '24.cp1'], 'contains': ['96.cg1', '96.cl1', '96.cm1', '96.jp1', '96.jq1', '96.la1', '96.lb1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832454, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.48.cw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cw1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cw1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617574
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.56092', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1'], 'contains': ['24.r1', '24.s1', '24.u1', '24.w1', '24.y1', '24.bb1', '24.bd1', '24.bg1', '24.bk1', '24.bm1', '24.bp1', '24.by1', '24.cc1', '24.cj1', '24.co1', '24.df1', '24.dg1', '24.dn1', '24.dp1', '24.dt1', '24.dv1', '24.ea1', '24.eb1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1179562545343134, 359890668370854, 1, 4466419656786750], 'label': '1536.408640176.12.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '12.d1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617575
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.cx1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.u1', '24.bu1', '24.cc1', '24.cj1', '24.cm1', '24.cp1'], 'contains': ['96.cg1', '96.cm1', '96.jr1', '96.lc1', '96.ld1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.48.cx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cx1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cx1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617576
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.cy1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.u1', '24.bt1', '24.by1', '24.cn1', '24.co1', '24.cq1'], 'contains': ['96.cg1', '96.cn1', '96.js1', '96.le1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 359890668370854, 1, 4914002071643455], 'label': '1536.408640176.48.cy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cy1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cy1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617577
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.cz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.v1', '24.bv1', '24.ce1', '24.ck1', '24.cm1', '24.cn1', '24.cr1'], 'contains': ['96.bj1', '96.cg1', '96.dz1', '96.lf1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1822051397507040, 85634286366367, 359890668370854, 1], 'label': '1536.408640176.48.cz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.cz1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cz1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617578
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.da1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.w1', '24.bg1', '24.bi1', '24.bl1', '24.bx1', '24.by1', '24.bz1'], 'contains': ['96.bl1', '96.ch1', '96.ci1', '96.cn1', '96.eb1', '96.ju1', '96.ke1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558496612582695, 359890668370854, 1], 'label': '1536.408640176.48.da1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.da1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.da1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617579
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.db1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.x1', '24.be1', '24.ca1', '24.cs1', '24.ct1', '24.cu1', '24.cv1'], 'contains': ['96.bm1', '96.bn1', '96.bo1', '96.ch1', '96.cj1', '96.ec1', '96.ec2', '96.jx1', '96.kq1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 359890668370854, 1], 'label': '1536.408640176.48.db1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.db1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.db1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617580
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.dc1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.bf1', '24.bj1', '24.bx1', '24.cb1', '24.cs1'], 'contains': ['96.ch1', '96.ck1', '96.jy1', '96.kr1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370854, 1, 1558328574027631], 'label': '1536.408640176.48.dc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.dc1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dc1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617581
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.dd1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.w1', '24.bi1', '24.bj1', '24.bk1', '24.cc1', '24.cg1', '24.ch1'], 'contains': ['96.ch1', '96.cl1', '96.cm1', '96.jz1', '96.ka1', '96.ks1', '96.kt1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.48.dd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dd1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dd1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617582
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.de1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.y1', '24.bf1', '24.bg1', '24.cc1', '24.ch1', '24.ct1'], 'contains': ['96.ch1', '96.cm1', '96.kb1', '96.ku1', '96.kv1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 1, 3867165506497374, 1558428202046910], 'label': '1536.408640176.48.de1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.de1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.de1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617583
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.df1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '48.df1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.y1', '24.bk1', '24.bl1', '24.by1', '24.cb1', '24.cu1'], 'contains': ['96.bp1', '96.ch1', '96.cn1', '96.ed1', '96.kc1', '96.kw1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 4466581508513575, 359890668370854, 1], 'label': '1536.408640176.48.df1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.df1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.df1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617584
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.dg1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.x1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.z1', '24.bh1', '24.cd1', '24.cs1', '24.ct1', '24.cu1', '24.cv1'], 'contains': ['96.bq1', '96.ch1', '96.ee1', '96.kx1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 359890668370854, 1, 1286031869723215], 'label': '1536.408640176.48.dg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.dg1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dg1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617585
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1024.dly', 'aut_weyl_index': 12, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '6.d1', '6.g1'], 'contains': ['24.q1', '24.z1', '24.bh1', '24.cd1', '24.do1', '24.ec1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1285751207061720, 1], 'label': '1536.408640176.12.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.e1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617586
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.dh1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.ba1', '24.be1', '24.ci1'], 'contains': ['96.bs1', '96.bt1', '96.bv1', '96.ci1', '96.cj1', '96.eg1', '96.kh1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 85621839531960, 359890668370854, 4466787406313791, 1], 'label': '1536.408640176.48.dh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.dh1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dh1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617587
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.di1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '48.di1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.w1', '24.bf1', '24.bm1', '24.bn1', '24.bx1', '24.cj1', '24.cl1'], 'contains': ['96.bu1', '96.ci1', '96.ck1', '96.cm1', '96.eh1', '96.ki1', '96.kj1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 1, 1558328574027631], 'label': '1536.408640176.48.di1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.di1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.di1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617588
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.dj1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bb1', '24.bg1', '24.bi1', '24.bm1', '24.by1', '24.cj1', '24.cl1'], 'contains': ['96.ci1', '96.cm1', '96.cn1', '96.kk1', '96.kl1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 1, 4914002071643455], 'label': '1536.408640176.48.dj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dj1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dj1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617589
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.dk1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '24.bi1', '24.bn1', '24.bz1', '24.cl1', '24.cw1'], 'contains': ['96.bw1', '96.ci1', '96.cl1', '96.ei1', '96.km1', '96.kn1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 359890668370854, 1, 4088271101448655], 'label': '1536.408640176.48.dk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.dk1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dk1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617590
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.dl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.x1', '24.bo1', '24.ci1'], 'contains': ['96.bx1', '96.bz1', '96.cb1', '96.cj1', '96.ck1', '96.ej1', '96.lg1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 85621839531960, 359890668370854, 1, 1558328574027631], 'label': '1536.408640176.48.dl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.dl1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dl1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617591
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.dm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.ba1', '24.bo1', '24.ca1', '24.cw1', '24.cx1', '24.cy1', '24.cz1'], 'contains': ['96.by1', '96.ca1', '96.cc1', '96.cj1', '96.cl1', '96.ek1', '96.ek2', '96.lh1', '96.li1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 4466674913186214, 359890668370854, 1], 'label': '1536.408640176.48.dm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.dm1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dm1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617592
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.dn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.w1', '24.bj1', '24.bp1', '24.br1', '24.cb1', '24.cl1', '24.co1'], 'contains': ['96.ck1', '96.cl1', '96.cn1', '96.lj1', '96.lk1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 4466674913186214, 359890668370854, 1], 'label': '1536.408640176.48.dn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dn1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dn1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617593
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.do1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.y1', '24.bj1', '24.bm1', '24.bp1', '24.bx1', '24.cj1', '24.co1'], 'contains': ['96.ck1', '96.cm1', '96.cn1', '96.ll1', '96.lm1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 3867807024594391, 1179756178121070, 359890668370854, 1], 'label': '1536.408640176.48.do1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.do1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.do1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617594
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.dp1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bb1', '24.bn1', '24.bp1', '24.cc1', '24.cg1', '24.cx1'], 'contains': ['96.cd1', '96.cl1', '96.cm1', '96.el1', '96.ln1', '96.lq1', '96.lr1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 1, 1558428202046910, 4087853328153270], 'label': '1536.408640176.48.dp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.dp1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dp1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617595
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.dq1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '48.dq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bb1', '24.bk1', '24.br1', '24.bz1', '24.co1', '24.cy1'], 'contains': ['96.cl1', '96.cn1', '96.lo1', '96.ls1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 359890668370854, 1, 2208708020989111], 'label': '1536.408640176.48.dq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.dq1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dq1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617596
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1024.dly', 'aut_weyl_index': 12, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '6.e1', '6.f1'], 'contains': ['24.q1', '24.v1', '24.ce1', '24.ck1', '24.du1', '24.ed1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1, 1779521014819080], 'label': '1536.408640176.12.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.f1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617597
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.dr1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.bb1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bc1', '24.bq1', '24.cf1', '24.cw1', '24.cx1', '24.cy1', '24.cz1'], 'contains': ['96.ce1', '96.cl1', '96.em1', '96.lt1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 3982176232894495, 359890668370854, 1], 'label': '1536.408640176.48.dr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.dr1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dr1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617598
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.ds1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bd1', '24.bg1', '24.bk1', '24.bp1', '24.by1', '24.cj1', '24.co1'], 'contains': ['96.cm1', '96.cn1', '96.lv1', '96.lx1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 4466581508513575, 359890668370854, 1], 'label': '1536.408640176.48.ds1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ds1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ds1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617599
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.dt1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '48.49', 'aut_weyl_index': 256, 'centralizer': '48.dt1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '24.bd1', '24.bm1', '24.cc1'], 'contains': ['96.cm1', '96.lu1', '96.lw1'], 'core': '192.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 1, 4466419656786750], 'label': '1536.408640176.48.dt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.dt1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dt1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 62617600
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.du1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.h1'], 'contains': ['96.co1', '96.cp1', '96.cq1', '96.cx1', '96.cy1', '96.ly1', '96.lz1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 85621839531960, 723416299248, 1, 795340005803407], 'label': '1536.408640176.48.du1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '48.du1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.du1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617601
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.dv1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '24.h1'], 'contains': ['96.cp1', '96.cq1', '96.cs1', '96.cv1', '96.cy1', '96.ma1', '96.mb1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 486919748214, 85621839531960, 723416299248, 1], 'label': '1536.408640176.48.dv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '48.dv1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dv1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617602
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.dw1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.h1'], 'contains': ['96.db1', '96.dc1', '96.dd1', '96.de1', '96.dh1', '96.ly1', '96.lz1', '96.ma1', '96.mb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [486919748214, 85621839531960, 723416299248, 795340005803407, 795533260052209], 'label': '1536.408640176.48.dw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '48.dw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dw1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617603
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.dx1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.q1', '24.da1'], 'contains': ['96.dj1', '96.dk1', '96.dl1', '96.dn1', '96.dr1', '96.du1', '96.dw1', '96.ep1', '96.eq1', '96.eu1', '96.ev1', '96.fc1', '96.fd1', '96.ff1', '96.fg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123927, 359890668370854, 3867165506497374], 'label': '1536.408640176.48.dx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.dx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dx1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617604
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.dy1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.t1', '24.da1'], 'contains': ['96.dj1', '96.dm1', '96.dq1', '96.dy1', '96.es1', '96.et1', '96.ew1', '96.fe1', '96.fh2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 795533260052208, 1822051397507040, 1822337812123927, 85621839531960], 'label': '1536.408640176.48.dy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.dy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dy1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617605
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.dy2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.t1', '24.da1', '24.db1'], 'contains': ['96.dj1', '96.dm1', '96.dq1', '96.dy2', '96.er1', '96.ex1', '96.ey1', '96.fe2', '96.fh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 795533260052208, 1822337812123927, 85621839531960, 293647592166], 'label': '1536.408640176.48.dy2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.dy2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dy2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617606
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.dz1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.v1', '24.db1'], 'contains': ['96.dj1', '96.dz1', '96.ez1', '96.fi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821696294037009, 86101382114928, 795533260052208, 1822337812123927, 293647592166], 'label': '1536.408640176.48.dz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.dz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dz1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617607
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1024.dly', 'aut_weyl_index': 12, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '6.e1', '6.g1'], 'contains': ['24.q1', '24.bc1', '24.bq1', '24.cf1', '24.dh1', '24.ee1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 3982369238227080, 1], 'label': '1536.408640176.12.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.g1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617608
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.ea1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.a1', '24.db1'], 'contains': ['96.da1', '96.da2', '96.dd1', '96.dd2', '96.dj1', '96.dj2', '96.dt1', '96.dt2', '96.ea1', '96.en1', '96.en2', '96.eo1', '96.fa1', '96.fa2', '96.fb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1821708766832454, 359890668370855], 'label': '1536.408640176.48.ea1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.ea1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ea1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617609
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.eb1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.x1', '24.da1'], 'contains': ['96.dk1', '96.dm1', '96.ec1', '96.ec2', '96.ej1', '96.fj1', '96.fk1', '96.fp1', '96.fq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 1558054135131894, 795533260052208, 1822337812123927, 85621839531960], 'label': '1536.408640176.48.eb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.eb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eb1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617610
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ec1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ba1', '24.da1'], 'contains': ['96.dl1', '96.dm1', '96.eg1', '96.ek1', '96.ek2', '96.fl1', '96.fm1', '96.fn1', '96.fo1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 4466674913186214, 795533260052208, 1822337812123927, 85621839531960], 'label': '1536.408640176.48.ec1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.ec1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ec1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617611
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ed1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.be1', '24.da1'], 'contains': ['96.dn1', '96.dq1', '96.ec1', '96.eg1', '96.fy1', '96.fz1', '96.gb1', '96.gu1', '96.gw2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 795533260052208, 1822337812123927, 85621839531960, 4466613129942960], 'label': '1536.408640176.48.ed1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.ed1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ed1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617612
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ed2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.be1', '24.da1', '24.dc1'], 'contains': ['96.dn1', '96.dq1', '96.ec2', '96.eg1', '96.fx1', '96.gc1', '96.gd1', '96.gu2', '96.gw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1558054135131894, 795533260052208, 1822337812123927, 85621839531960], 'label': '1536.408640176.48.ed2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.ed2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ed2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617613
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ee1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.x1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bh1', '24.dc1'], 'contains': ['96.dn1', '96.ee1', '96.ge1', '96.gx1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1558054135131894, 795533260052208, 1822337812123927, 442804380649, 1285751207061720], 'label': '1536.408640176.48.ee1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.ee1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ee1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617614
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ef1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bl1', '24.dc1'], 'contains': ['96.dn1', '96.do1', '96.eb1', '96.ed1', '96.ef1', '96.ga1', '96.ga2', '96.gf1', '96.gv1', '96.gv2', '96.gy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 281175158881, 1558054135131894, 1822337812123927, 359890668370854], 'label': '1536.408640176.48.ef1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.ef1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ef1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617615
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.eg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bn1', '24.dd1'], 'contains': ['96.dp1', '96.dr1', '96.eh1', '96.ei1', '96.el1', '96.gg1', '96.gh1', '96.gi1', '96.gz1', '96.ha1', '96.hb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370855, 4087853328153270, 1558428202046910], 'label': '1536.408640176.48.eg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.eg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eg1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617616
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.eh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bo1', '24.da1'], 'contains': ['96.dq1', '96.dr1', '96.ej1', '96.ek1', '96.gk1', '96.gl1', '96.gn1', '96.hc1', '96.hd2'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1558502850424320, 795533260052208, 1822337812123927, 85621839531960], 'label': '1536.408640176.48.eh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.eh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eh1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617617
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.eh2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bo1', '24.da1', '24.dd1'], 'contains': ['96.dq1', '96.dr1', '96.ej1', '96.ek2', '96.gj1', '96.gm1', '96.go1', '96.hc2', '96.hd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 4466674913186214, 795533260052208, 1822337812123927, 85621839531960], 'label': '1536.408640176.48.eh2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.eh2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eh2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617618
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7540510', 'aut_weyl_index': 24, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.b1', '6.c1'], 'contains': ['24.c1', '24.q1', '24.s1', '24.w1', '24.bb1', '24.bi1', '24.bn1', '24.br1', '24.bz1', '24.cg1', '24.cl1', '24.di1', '24.dj1', '24.dr1', '24.dw1', '24.eg1', '24.eh1'], 'core': '24.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1821708766832454, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.12.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.h1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617619
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ei1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.bb1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bq1', '24.dd1'], 'contains': ['96.dr1', '96.em1', '96.gp1', '96.he1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1558502850424320, 795533260052208, 1822337812123927, 442804380649, 3982369238227080], 'label': '1536.408640176.48.ei1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.ei1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ei1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617620
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.ej1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bs1'], 'contains': ['96.dn2', '96.do1', '96.dp1', '96.ds1', '96.dt1', '96.dv1', '96.dx1', '96.fr1', '96.fs1', '96.ft1', '96.fu1', '96.gq1', '96.gr1', '96.gs1', '96.gt1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1179562545343134, 795533260052208, 1822337812123927], 'label': '1536.408640176.48.ej1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '48.ej1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ej1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617621
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ek1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bv1', '24.db1'], 'contains': ['96.dt2', '96.dy2', '96.dz1', '96.fv1', '96.fw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 1822337812123927, 85621839531960, 1822057638927127, 293647592166], 'label': '1536.408640176.48.ek1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.ek1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ek1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617622
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.el1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ca1', '24.da1'], 'contains': ['96.du1', '96.dy1', '96.dy2', '96.ec1', '96.ec2', '96.ek1', '96.ek2', '96.hf1', '96.hg1', '96.hj1', '96.hk1', '96.hn1', '96.ho1', '96.hv1', '96.hw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 1558054135131894, 795533260052208, 1822337812123927, 1822051397507040], 'label': '1536.408640176.48.el1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.el1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.el1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617623
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.em1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ci1', '24.da1'], 'contains': ['96.dw1', '96.dy1', '96.dy2', '96.eg1', '96.ej1', '96.hh1', '96.hi1', '96.hr1', '96.hs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 1822051397507040, 1822337812123927, 85621839531960, 1558328574027631], 'label': '1536.408640176.48.em1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.em1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.em1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617624
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.en1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cr1', '24.db1'], 'contains': ['96.dy2', '96.dz1', '96.ea1', '96.hl1', '96.hm1', '96.ib1', '96.ic1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 1779421385188801, 795533260052208, 1822337812123927, 723416299248], 'label': '1536.408640176.48.en1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.en1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.en1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617625
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.eo1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cu1', '24.dc1'], 'contains': ['96.ec2', '96.ed1', '96.ee1', '96.hx1', '96.hy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179737021691025, 1558054135131894, 795533260052208, 1822337812123927, 85621839531960], 'label': '1536.408640176.48.eo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.eo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eo1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617626
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ep1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cv1', '24.dc1'], 'contains': ['96.ec2', '96.ee1', '96.ef1', '96.hp1', '96.hq1', '96.hz1', '96.ia1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779421385188801, 1179562545343134, 795533260052208, 1822337812123927, 4466613129942960], 'label': '1536.408640176.48.ep1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.ep1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ep1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617627
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.eq1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cw1', '24.dd1'], 'contains': ['96.ei1', '96.ek2', '96.em1', '96.ht1', '96.hu1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 1822337812123927, 85621839531960, 1179581701804201], 'label': '1536.408640176.48.eq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.eq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eq1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617628
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.er1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cx1', '24.dd1'], 'contains': ['96.ek2', '96.el1', '96.em1', '96.id1', '96.ie1', '96.if1', '96.ig1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779421385188801, 1179756178121070, 795533260052208, 1822337812123927, 4913329002108150], 'label': '1536.408640176.48.er1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.er1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.er1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617629
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7540510', 'aut_weyl_index': 24, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.d1', '6.e1'], 'contains': ['24.b1', '24.q1', '24.r1', '24.w1', '24.y1', '24.bf1', '24.bj1', '24.bl1', '24.bx1', '24.cb1', '24.ch1', '24.dk1', '24.dl1', '24.dq1', '24.dx1', '24.dy1', '24.ef1'], 'core': '24.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1179562545343134, 1558054135131894, 359890668370854, 1], 'label': '1536.408640176.12.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.i1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617630
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.es1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.e1', '24.db1', '24.eo1'], 'contains': ['96.en1', '96.fh1', '96.fi1', '96.fv1', '96.fw1', '96.hl1', '96.hm1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [795533260052208, 85621839531960, 1822057638927127, 293647592166, 486919748215], 'label': '1536.408640176.48.es1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.es1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.es1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617631
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.et1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.e1', '24.db1', '24.er1'], 'contains': ['96.eo1', '96.fh1', '96.fi1', '96.fv1', '96.fw1', '96.ib1', '96.ic1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 795533260052208, 723416299248, 85621839531961], 'label': '1536.408640176.48.et1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.et1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.et1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617632
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.eu1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '24.da1', '24.de1'], 'contains': ['96.ep1', '96.er1', '96.et1', '96.fj1', '96.fm1', '96.fx1', '96.fz1', '96.gk1', '96.go1', '96.hf1', '96.hh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822051397507041, 4466674913186214, 795533260052208, 442804380649, 1779365212353054], 'label': '1536.408640176.48.eu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.eu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eu1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617633
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ev1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g1', '24.da1', '24.de1'], 'contains': ['96.ep1', '96.er1', '96.es1', '96.fk1', '96.fo1', '96.fx1', '96.fy1', '96.gk1', '96.gm1', '96.hg1', '96.hi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822051397507041, 4466674913186214, 795533260052208, 442804380649, 85621839531960], 'label': '1536.408640176.48.ev1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.ev1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ev1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617634
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ew1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '24.da1', '24.dm1'], 'contains': ['96.eq1', '96.er1', '96.et1', '96.fl1', '96.fp1', '96.gb1', '96.gd1', '96.gj1', '96.gn1', '96.hh1', '96.hj1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822051397507041, 1558054135131894, 795533260052208, 442804380649, 1779365212353054], 'label': '1536.408640176.48.ew1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.ew1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ew1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617635
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ex1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g1', '24.da1', '24.dm1'], 'contains': ['96.eq1', '96.er1', '96.es1', '96.fn1', '96.fq1', '96.gb1', '96.gc1', '96.gj1', '96.gl1', '96.hi1', '96.hk1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822051397507041, 1558054135131894, 795533260052208, 442804380649, 85621839531960], 'label': '1536.408640176.48.ex1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.ex1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ex1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617636
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ey1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '24.da1', '24.ds1'], 'contains': ['96.eu1', '96.ew1', '96.ey1', '96.fj1', '96.fl1', '96.fx1', '96.fz1', '96.gj1', '96.gn1', '96.hn1', '96.hr1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [4466613129942961, 795533260052208, 1822051397507040, 85621839531960, 1558328574027631], 'label': '1536.408640176.48.ey1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.ey1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ey1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617637
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ez1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g1', '24.da1', '24.ds1'], 'contains': ['96.eu1', '96.ew1', '96.ex1', '96.fk1', '96.fn1', '96.fx1', '96.fy1', '96.gj1', '96.gl1', '96.ho1', '96.hs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [4466413418965225, 795533260052208, 1822051397507040, 1558054135131895, 85621839531960], 'label': '1536.408640176.48.ez1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.ez1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ez1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617638
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.fa1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '24.da1', '24.dz1'], 'contains': ['96.ev1', '96.ew1', '96.ey1', '96.fm1', '96.fp1', '96.gb1', '96.gd1', '96.gk1', '96.go1', '96.hr1', '96.hv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779365212353055, 1821696294037009, 1558054135131894, 795533260052208, 1822051397507040], 'label': '1536.408640176.48.fa1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.fa1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fa1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617639
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.fb1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g1', '24.da1', '24.dz1'], 'contains': ['96.ev1', '96.ew1', '96.ex1', '96.fo1', '96.fq1', '96.gb1', '96.gc1', '96.gk1', '96.gm1', '96.hs1', '96.hw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821696294037009, 1558054135131894, 795533260052208, 1822051397507040, 85621839531961], 'label': '1536.408640176.48.fb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.fb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fb1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617640
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.7577399', 'aut_weyl_index': 24, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1'], 'contains': ['24.t1', '24.u1', '24.v1', '24.cm1', '24.cn1', '24.ei1', '24.ej1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 85621839531960, 359890668370854, 1, 4466419656786750, 1558428202046910], 'label': '1536.408640176.12.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '12.j1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617641
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.fc1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.h1', '24.db1', '24.eo1'], 'contains': ['96.ex1', '96.ez1', '96.fa1', '96.fv1', '96.hl1', '96.ly1', '96.ma1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [281175158881, 795533260052208, 85621839531960, 293647592166, 486919748215], 'label': '1536.408640176.48.fc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.fc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fc1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617642
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.fd1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.i1', '24.db1', '24.eo1'], 'contains': ['96.ey1', '96.ez1', '96.fa1', '96.fw1', '96.hm1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821864384688489, 795533260052208, 1822057638927127, 293647592166, 1779365212353054], 'label': '1536.408640176.48.fd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.fd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fd1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617643
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.fe1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.h1', '24.db1', '24.er1'], 'contains': ['96.ex1', '96.ez1', '96.fb1', '96.fv1', '96.ib1', '96.lz1', '96.mb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 486919748214, 795533260052208, 723416299248, 85621839531961], 'label': '1536.408640176.48.fe1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.fe1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fe1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617644
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ff1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.i1', '24.db1', '24.er1'], 'contains': ['96.ey1', '96.ez1', '96.fb1', '96.fw1', '96.ic1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 1779365212353055, 486919748214, 795533260052208, 723416299248], 'label': '1536.408640176.48.ff1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.ff1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ff1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617645
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.fg1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j1', '24.da1', '24.de1'], 'contains': ['96.fc1', '96.fe1', '96.fe2', '96.fj1', '96.fk1', '96.fm1', '96.fo1', '96.gu1', '96.gu2', '96.hd1', '96.hd2', '96.hf1', '96.hg1', '96.hh1', '96.hi1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1821901758068215, 1822051397507041, 4466674913186214, 795533260052208, 85621839531960], 'label': '1536.408640176.48.fg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.fg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fg1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617646
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.fh1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j1', '24.da1', '24.dm1'], 'contains': ['96.fd1', '96.fe1', '96.fe2', '96.fl1', '96.fn1', '96.fp1', '96.fq1', '96.gw1', '96.gw2', '96.hc1', '96.hc2', '96.hh1', '96.hi1', '96.hj1', '96.hk1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1821901758068215, 1822051397507041, 1558054135131894, 795533260052208, 85621839531960], 'label': '1536.408640176.48.fh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.fh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fh1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617647
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.fi1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j1', '24.da1', '24.ds1'], 'contains': ['96.ff1', '96.fh1', '96.fh2', '96.fj1', '96.fk1', '96.fl1', '96.fn1', '96.gu1', '96.gu2', '96.hc1', '96.hc2', '96.hn1', '96.ho1', '96.hr1', '96.hs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [795533260052208, 1822051397507040, 1558054135131895, 85621839531960, 1558328574027631], 'label': '1536.408640176.48.fi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.fi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fi1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617648
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.fj1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j1', '24.da1', '24.dz1'], 'contains': ['96.fg1', '96.fh1', '96.fh2', '96.fm1', '96.fo1', '96.fp1', '96.fq1', '96.gw1', '96.gw2', '96.hd1', '96.hd2', '96.hr1', '96.hs1', '96.hv1', '96.hw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [735925060135, 1558054135131894, 795533260052208, 1822051397507040, 85621839531961], 'label': '1536.408640176.48.fj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.fj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fj1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617649
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fk1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.k1', '24.dc1', '24.fa1'], 'contains': ['96.ga1', '96.gc1', '96.ge1', '96.hp1', '96.hx1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179737021691025, 1558054135131894, 795533260052208, 85621839531960, 1179562545343135], 'label': '1536.408640176.48.fk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.fk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fk1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617650
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fl1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.l1', '24.dc1', '24.fa1'], 'contains': ['96.ga1', '96.gd1', '96.ge1', '96.hq1', '96.hy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [4087934280229231, 1558054135131894, 795533260052208, 4088283551881561, 1779365212353054], 'label': '1536.408640176.48.fl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.fl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fl1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617651
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 96, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.f1', '6.g1'], 'contains': ['24.a1', '24.q1', '24.r1', '24.s1', '24.u1', '24.bs1', '24.bt1', '24.bu1', '24.bw1', '24.cp1', '24.cq1', '24.ek1', '24.el1', '24.em1', '24.en1', '24.ep1', '24.eq1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1179562545343134, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.12.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.k1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617652
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fm1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.k1', '24.dc1', '24.fd1'], 'contains': ['96.gc1', '96.ge1', '96.gf1', '96.hx1', '96.hz1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894, 795533260052208, 442804380649, 85621839531961], 'label': '1536.408640176.48.fm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.fm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fm1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617653
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fn1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.l1', '24.dc1', '24.fd1'], 'contains': ['96.gd1', '96.ge1', '96.gf1', '96.hy1', '96.ia1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779365212353055, 1179562545343134, 1558054135131894, 795533260052208, 442804380649], 'label': '1536.408640176.48.fn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.fn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fn1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617654
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fo1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.226', 'aut_weyl_index': 192, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.m1', '24.dd1', '24.fe1'], 'contains': ['96.gh1', '96.gm1', '96.gp1', '96.ht1', '96.id1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 442804380649, 85621839531961, 3867794551809024], 'label': '1536.408640176.48.fo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.fo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fo1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617655
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fp1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.226', 'aut_weyl_index': 192, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.m1', '24.dd1', '24.ff1'], 'contains': ['96.gi1', '96.gm1', '96.gp1', '96.ht1', '96.ie1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [2209075491697615, 4466674913186214, 795533260052208, 85621839531960, 4088271101448655], 'label': '1536.408640176.48.fp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.fp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fp1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617656
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fq1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.226', 'aut_weyl_index': 192, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.n1', '24.dd1', '24.fe1'], 'contains': ['96.gh1', '96.go1', '96.gp1', '96.hu1', '96.if1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779365212353055, 1179756178121070, 795533260052208, 442804380649, 3867794551809024], 'label': '1536.408640176.48.fq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.fq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fq1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617657
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fr1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.226', 'aut_weyl_index': 192, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.n1', '24.dd1', '24.ff1'], 'contains': ['96.gi1', '96.go1', '96.gp1', '96.hu1', '96.ig1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 3058720778354041, 1179581701804201, 1779365212353054], 'label': '1536.408640176.48.fr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.fr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fr1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617658
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fs1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.o1', '24.dc1', '24.fa1'], 'contains': ['96.gv1', '96.gw1', '96.gx1', '96.hp1', '96.hq1', '96.hx1', '96.hy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [4087934280229231, 1558054135131894, 795533260052208, 85621839531960, 1179562545343135], 'label': '1536.408640176.48.fs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.fs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fs1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617659
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.ft1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.o1', '24.dc1', '24.fd1'], 'contains': ['96.gw1', '96.gx1', '96.gy1', '96.hx1', '96.hy1', '96.hz1', '96.ia1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1821901758068215, 1179562545343134, 1558054135131894, 795533260052208, 85621839531961], 'label': '1536.408640176.48.ft1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '48.ft1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ft1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617660
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fu1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.p1', '24.dd1', '24.fe1'], 'contains': ['96.ha1', '96.hd1', '96.he1', '96.ht1', '96.hu1', '96.id1', '96.if1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1821901758068215, 1179756178121070, 795533260052208, 85621839531961, 3867794551809024], 'label': '1536.408640176.48.fu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.fu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fu1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617661
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '48.fv1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.p1', '24.dd1', '24.ff1'], 'contains': ['96.hb1', '96.hd1', '96.he1', '96.ht1', '96.hu1', '96.ie1', '96.ig1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [2209075491697615, 4466674913186214, 795533260052208, 85621839531960, 1179581701804201], 'label': '1536.408640176.48.fv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.fv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fv1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617662
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55751', 'aut_weyl_index': 48, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '6.f1'], 'contains': ['24.a1', '24.e1', '24.h1', '24.i1', '24.t1', '24.v1', '24.bv1', '24.cr1', '24.db1', '24.eo1', '24.er1'], 'core': '24.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1821708766832454, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.12.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '12.l1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617663
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.fw1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.q1', '24.de1', '24.dh1', '24.di1', '24.dj1', '24.dl1', '24.el1'], 'contains': ['96.ep1', '96.fc1', '96.ih1', '96.ij1', '96.il1', '96.iq1', '96.iy1', '96.jh1', '96.jj1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1822051397507041, 4466674913186214, 359890668370854], 'label': '1536.408640176.48.fw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.fw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fw1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617664
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.fx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.r1', '24.df1', '24.dg1', '24.dk1', '24.dl1', '24.ek1', '24.el1'], 'contains': ['96.ih1', '96.ij1', '96.io1', '96.ir1', '96.iz1', '96.ji1', '96.jo1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.fx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fx1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617665
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.fy1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.q1', '24.dk1', '24.dm1', '24.do1', '24.dq1', '24.dr1', '24.em1'], 'contains': ['96.eq1', '96.fd1', '96.ih1', '96.ik1', '96.im1', '96.is1', '96.ix1', '96.jj1', '96.jl1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832455, 1179562545343134, 359890668370854], 'label': '1536.408640176.48.fy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.fy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fy1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617666
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.fz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.s1', '24.df1', '24.di1', '24.dn1', '24.dr1', '24.ek1', '24.em1'], 'contains': ['96.ih1', '96.ik1', '96.io1', '96.it1', '96.jb1', '96.jk1', '96.jp1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 4087853328153271, 359890668370854], 'label': '1536.408640176.48.fz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fz1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617667
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ga1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.s1', '24.dg1', '24.dj1', '24.dp1', '24.dr1', '24.el1', '24.en1'], 'contains': ['96.ih1', '96.il1', '96.ip1', '96.iu1', '96.jc1', '96.jk1', '96.jq1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832455, 4466674913186214, 359890668370854], 'label': '1536.408640176.48.ga1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ga1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ga1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617668
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.gb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.r1', '24.dl1', '24.dn1', '24.dp1', '24.dq1', '24.em1', '24.en1'], 'contains': ['96.ih1', '96.im1', '96.ip1', '96.iv1', '96.ja1', '96.jm1', '96.jo1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 359890668370854, 486919748215], 'label': '1536.408640176.48.gb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gb1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617669
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.gc1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.t1', '24.de1', '24.dm1'], 'contains': ['96.er1', '96.es1', '96.et1', '96.fe1', '96.fe2', '96.ih1', '96.in1', '96.iw1', '96.jn1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1822051397507041, 85621839531960, 359890668370854], 'label': '1536.408640176.48.gc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.gc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gc1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617670
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.gd1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.u1', '24.df1', '24.dg1', '24.dn1', '24.dp1', '24.el1', '24.em1'], 'contains': ['96.ih1', '96.io1', '96.ip1', '96.jd1', '96.je1', '96.jr1', '96.js1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832455, 1179756178121070, 359890668370854], 'label': '1536.408640176.48.gd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gd1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617671
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ge1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.q1', '24.ds1', '24.du1', '24.dw1', '24.dx1', '24.ek1', '24.ep1'], 'contains': ['96.eu1', '96.ff1', '96.ii1', '96.ij1', '96.ik1', '96.iq1', '96.ix1', '96.jv1', '96.kf1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 3867165506497375, 359890668370854], 'label': '1536.408640176.48.ge1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ge1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ge1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617672
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.gf1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.r1', '24.dt1', '24.dv1', '24.dx1', '24.dy1', '24.el1', '24.ep1'], 'contains': ['96.ii1', '96.ij1', '96.ip1', '96.ir1', '96.ja1', '96.jw1', '96.kz1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.gf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gf1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617673
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1', '6.f1', '6.g1', '6.h1', '6.i1', '6.j1', '6.k1', '6.l1', '6.m1', '6.n1', '6.o1'], 'core': '6.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 1821708766832454, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.3.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617674
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.6344809', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1'], 'contains': ['24.x1', '24.y1', '24.z1', '24.ct1', '24.cu1', '24.ex1', '24.ey1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 4088034024283854, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.12.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '12.m1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617840
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.bb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.10482065', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.c1', '6.i1', '6.j1'], 'contains': ['24.bz1', '24.cd1', '24.ce1', '24.hf1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1, 4088271101448655, 1779521014819080], 'label': '1536.408640176.12.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bb1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bb1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617675
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.gg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.q1', '24.dy1', '24.dz1', '24.ec1', '24.ed1', '24.ee1', '24.ef1', '24.eg1', '24.eh1', '24.en1', '24.eq1'], 'contains': ['96.ev1', '96.fg1', '96.ii1', '96.il1', '96.im1', '96.is1', '96.iy1', '96.kf1', '96.ko1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 359890668370854, 3867165506497374], 'label': '1536.408640176.48.gg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.gg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gg1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617676
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.gh1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.s1', '24.dt1', '24.dw1', '24.ea1', '24.eg1', '24.em1', '24.ep1'], 'contains': ['96.ii1', '96.ik1', '96.ip1', '96.iu1', '96.jb1', '96.kg1', '96.la1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 4087853328153271, 359890668370854], 'label': '1536.408640176.48.gh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gh1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617677
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.gi1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.s1', '24.dv1', '24.dw1', '24.eb1', '24.eh1', '24.el1', '24.eq1'], 'contains': ['96.ii1', '96.il1', '96.io1', '96.it1', '96.jc1', '96.kg1', '96.lb1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832454, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.gi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gi1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617678
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.gj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.r1', '24.dx1', '24.ea1', '24.eb1', '24.ef1', '24.em1', '24.eq1'], 'contains': ['96.ii1', '96.im1', '96.io1', '96.iv1', '96.iz1', '96.kp1', '96.kz1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1179562545343134, 359890668370854], 'label': '1536.408640176.48.gj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gj1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617679
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.gk1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.t1', '24.ds1', '24.dz1', '24.ei1', '24.ej1', '24.eo1', '24.er1'], 'contains': ['96.ew1', '96.ex1', '96.ey1', '96.fh1', '96.fh2', '96.ii1', '96.in1', '96.iw1', '96.ky1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1822051397507040, 359890668370854, 85621839531961], 'label': '1536.408640176.48.gk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.gk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gk1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617680
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.gl1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.u1', '24.dt1', '24.eb1', '24.ei1', '24.ek1', '24.eq1'], 'contains': ['96.ii1', '96.io1', '96.jd1', '96.lc1', '96.le1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 1821708766832454, 359890668370854], 'label': '1536.408640176.48.gl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.gl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gl1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617681
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.gm1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.u1', '24.dv1', '24.ea1', '24.ej1', '24.en1', '24.ep1'], 'contains': ['96.ii1', '96.ip1', '96.je1', '96.ld1', '96.le1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 4913329002108151, 359890668370854], 'label': '1536.408640176.48.gm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.gm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gm1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617682
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.gn1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.v1', '24.du1', '24.ed1', '24.ei1', '24.ej1', '24.eo1', '24.er1'], 'contains': ['96.ez1', '96.fi1', '96.ii1', '96.lf1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1822051397507040, 359890668370854, 86101382114929], 'label': '1536.408640176.48.gn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.gn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gn1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617683
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '48.go1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.a1', '24.ek1', '24.el1', '24.em1', '24.en1', '24.eo1'], 'contains': ['96.en1', '96.en2', '96.fa1', '96.fa2', '96.ih1', '96.ii1', '96.jf1', '96.jg1', '96.jt1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1821708766832455, 359890668370854], 'label': '1536.408640176.48.go1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.go1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.go1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617684
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.gp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.w1', '24.df1', '24.di1', '24.dk1', '24.dt1', '24.dw1', '24.dx1'], 'contains': ['96.ij1', '96.ik1', '96.io1', '96.ju1', '96.jz1', '96.ki1', '96.lj1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 1558054135131895, 359890668370854], 'label': '1536.408640176.48.gp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gp1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617685
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.6344809', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1', '6.d1'], 'contains': ['24.b1', '24.x1', '24.z1', '24.cs1', '24.cv1', '24.es1', '24.ez1'], 'core': '24.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.12.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '12.n1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617686
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.gq1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.w1', '24.dg1', '24.dj1', '24.dl1', '24.dv1', '24.dw1', '24.dy1'], 'contains': ['96.ij1', '96.il1', '96.ip1', '96.ju1', '96.ka1', '96.kj1', '96.lk1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 4466674913186214, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.gq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gq1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617687
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.gr1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.x1', '24.de1', '24.ds1'], 'contains': ['96.fj1', '96.fk1', '96.ij1', '96.in1', '96.jx1', '96.lg1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1558054135131895, 85621839531960, 359890668370854, 1558328574027631], 'label': '1536.408640176.48.gr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.gr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gr1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617688
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.gs1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.y1', '24.df1', '24.dg1', '24.dl1', '24.dt1', '24.dv1', '24.dx1'], 'contains': ['96.ij1', '96.io1', '96.ip1', '96.kb1', '96.kc1', '96.ll1', '96.lm1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 3867165506497375, 359890668370854], 'label': '1536.408640176.48.gs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gs1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617689
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.gt1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.b1', '24.dk1', '24.dl1', '24.dx1', '24.dy1', '24.es1'], 'contains': ['96.ij1', '96.im1', '96.jy1', '96.kd1', '96.kr1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131895, 359890668370854], 'label': '1536.408640176.48.gt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.gt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gt1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617690
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.gu1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.w1', '24.dn1', '24.dq1', '24.dr1', '24.dx1', '24.ea1', '24.eg1'], 'contains': ['96.ik1', '96.im1', '96.ip1', '96.ke1', '96.kj1', '96.ks1', '96.lj1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558428202046911, 359890668370854], 'label': '1536.408640176.48.gu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gu1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617877
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': 128, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.k1', '32.f1'], 'contains': ['128.e1', '192.he1', '256.c1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 128, 'diagramx': None, 'generators': [86082708280015, 2587635382200510, 3058889034877584, 83903140502304], 'label': '1536.408640176.64.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.f1', 'old_label': '64.i1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617691
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.gv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.w1', '24.dl1', '24.dp1', '24.dr1', '24.eb1', '24.ef1', '24.eh1'], 'contains': ['96.il1', '96.im1', '96.io1', '96.ke1', '96.ki1', '96.kt1', '96.lk1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.gv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gv1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617692
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.gw1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.ba1', '24.dm1', '24.ds1'], 'contains': ['96.fl1', '96.fn1', '96.ik1', '96.in1', '96.kh1', '96.lh1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 85621839531960, 359890668370854, 4466674913186215], 'label': '1536.408640176.48.gw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.gw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gw1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617693
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.gx1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ba1', '24.de1', '24.dz1', '24.et1', '24.eu1', '24.ev1', '24.ew1'], 'contains': ['96.fm1', '96.fo1', '96.il1', '96.in1', '96.kh1', '96.li1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 4466674913186214, 359890668370854, 85621839531961], 'label': '1536.408640176.48.gx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.gx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gx1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617694
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.gy1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bb1', '24.df1', '24.dn1', '24.dr1', '24.dt1', '24.dw1', '24.ea1'], 'contains': ['96.ik1', '96.io1', '96.ip1', '96.kk1', '96.kl1', '96.ln1', '96.lo1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 4913329002108151, 359890668370854], 'label': '1536.408640176.48.gy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.gy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gy1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617695
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.gz1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bb1', '24.dg1', '24.di1', '24.eb1', '24.eh1', '24.et1'], 'contains': ['96.il1', '96.io1', '96.kk1', '96.lq1', '96.ls1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 1558428202046910, 4087853328153270], 'label': '1536.408640176.48.gz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.gz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.gz1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617696
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.6344809', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1'], 'contains': ['24.ba1', '24.bb1', '24.bc1', '24.cx1', '24.cy1', '24.et1', '24.eu1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 85621839531960, 359890668370854, 1, 4913329002108150], 'label': '1536.408640176.12.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.o1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617697
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ha1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bb1', '24.dj1', '24.dp1', '24.dv1', '24.eg1', '24.eu1'], 'contains': ['96.il1', '96.ip1', '96.kl1', '96.lr1', '96.ls1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 2209075491697615, 4466674913186214, 359890668370854], 'label': '1536.408640176.48.ha1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ha1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ha1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617698
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.hb1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bc1', '24.dh1', '24.ee1', '24.et1', '24.eu1', '24.ev1', '24.ew1'], 'contains': ['96.il1', '96.lt1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 4466674913186214, 359890668370854, 3982369238227081], 'label': '1536.408640176.48.hb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.hb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hb1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617699
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.hc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '24.di1', '24.dr1', '24.dw1', '24.eg1', '24.ev1'], 'contains': ['96.ik1', '96.il1', '96.km1', '96.kn1', '96.lp1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 4466674913186214, 4087853328153271, 359890668370854], 'label': '1536.408640176.48.hc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.hc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hc1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617700
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.hd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.x1', '24.dm1', '24.dz1', '24.es1', '24.ex1', '24.ey1', '24.ez1'], 'contains': ['96.fp1', '96.fq1', '96.im1', '96.in1', '96.kq1', '96.lg1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 359890668370854, 85621839531961], 'label': '1536.408640176.48.hd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.hd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hd1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617701
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.he1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.y1', '24.dk1', '24.dn1', '24.eb1', '24.ef1', '24.ex1'], 'contains': ['96.im1', '96.io1', '96.ku1', '96.kw1', '96.ll1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 3867165506497374, 1558428202046910], 'label': '1536.408640176.48.he1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.he1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.he1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617702
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.hf1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.y1', '24.dp1', '24.dq1', '24.dy1', '24.ea1', '24.ey1'], 'contains': ['96.im1', '96.ip1', '96.kv1', '96.kw1', '96.lm1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 359890668370854, 4466419656786751], 'label': '1536.408640176.48.hf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.hf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hf1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617703
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.hg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.z1', '24.do1', '24.ec1', '24.es1', '24.ex1', '24.ey1', '24.ez1'], 'contains': ['96.im1', '96.kx1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1285751207061721, 359890668370854], 'label': '1536.408640176.48.hg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.hg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hg1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617704
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.hh1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bd1', '24.dg1', '24.dn1', '24.dp1', '24.dt1', '24.dv1', '24.ea1'], 'contains': ['96.io1', '96.ip1', '96.lu1', '96.lv1', '96.lx1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 359890668370854, 4466419656786751], 'label': '1536.408640176.48.hh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hh1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617705
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.hi1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '192.1540', 'aut_weyl_index': 64, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '24.bd1', '24.df1', '24.eb1'], 'contains': ['96.io1', '96.lv1', '96.lw1'], 'core': '192.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 359890668370854, 4466419656786750], 'label': '1536.408640176.48.hi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.hi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hi1', 'subgroup_fusion': None, 'weyl_group': '96.229'}
  • id: 62617706
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.hj1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.be1', '24.de1', '24.ds1'], 'contains': ['96.fx1', '96.fy1', '96.fz1', '96.gu1', '96.gu2', '96.iq1', '96.iw1', '96.jx1', '96.kh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1558054135131895, 85621839531960, 359890668370854, 4466787406313791], 'label': '1536.408640176.48.hj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.hj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hj1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617707
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.6344809', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1', '6.b1'], 'contains': ['24.c1', '24.ba1', '24.bc1', '24.cw1', '24.cz1', '24.ev1', '24.ew1'], 'core': '24.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 85621839531960, 359890668370854, 1, 4087853328153270, 3867638933942910], 'label': '1536.408640176.12.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.p1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617878
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '64.j1', 'aut_quo_index': None, 'aut_stab_index': 128, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.l1', '32.e1', '32.l1'], 'contains': ['128.f1', '192.hf1', '256.c1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 128, 'diagramx': None, 'generators': [486919748214, 86082708280015, 83903140502304, 723416299248], 'label': '1536.408640176.64.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.f1', 'old_label': '64.j1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.j1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617708
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bf1', '24.dl1', '24.dx1', '24.fi1', '24.fj1', '24.fs1', '24.ft1'], 'contains': ['96.iq1', '96.iz1', '96.ja1', '96.jy1', '96.kb1', '96.ki1', '96.kj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1179756178121070, 3867165506497375, 359890668370854], 'label': '1536.408640176.48.hk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hk1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617709
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bg1', '24.df1', '24.dv1', '24.fj1', '24.fn1', '24.fs1', '24.fw1'], 'contains': ['96.ir1', '96.it1', '96.je1', '96.ju1', '96.kb1', '96.kl1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 3867165506497375, 359890668370854, 4088271101448655], 'label': '1536.408640176.48.hl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hl1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617710
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hl2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bg1', '24.dg1', '24.dt1', '24.fi1', '24.fn1', '24.ft1', '24.fw1'], 'contains': ['96.ir1', '96.iu1', '96.jd1', '96.ju1', '96.kb1', '96.kk1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179756178121070, 3867165506497375, 359890668370854], 'label': '1536.408640176.48.hl2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hl2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hl2', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617711
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bi1', '24.di1', '24.dw1', '24.fi1', '24.fm1', '24.fs1', '24.fw1'], 'contains': ['96.iq1', '96.it1', '96.jb1', '96.ju1', '96.jz1', '96.kk1', '96.km1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 1558054135131895, 359890668370854, 4088271101448655], 'label': '1536.408640176.48.hm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hm1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617712
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bi1', '24.dj1', '24.dw1', '24.fj1', '24.fn1', '24.ft1', '24.fx1'], 'contains': ['96.iq1', '96.iu1', '96.jc1', '96.ju1', '96.ka1', '96.kl1', '96.kn1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 4466674913186214, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.hn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hn1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617713
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ho1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bj1', '24.dk1', '24.dx1', '24.fi1', '24.fk1', '24.fs1', '24.fv1'], 'contains': ['96.ir1', '96.ix1', '96.iz1', '96.jy1', '96.jz1', '96.lj1', '96.ll1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1179756178121070, 1558054135131895, 359890668370854], 'label': '1536.408640176.48.ho1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ho1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ho1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617714
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bj1', '24.dl1', '24.dy1', '24.fj1', '24.fl1', '24.ft1', '24.fv1'], 'contains': ['96.ir1', '96.iy1', '96.ja1', '96.jy1', '96.ka1', '96.lk1', '96.lm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 4466674913186214, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.hp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hp1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617715
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hq1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bk1', '24.df1', '24.dt1', '24.fk1', '24.fm1', '24.fv1', '24.fw1'], 'contains': ['96.ir1', '96.jb1', '96.jd1', '96.jz1', '96.kc1', '96.lo1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179756178121070, 1558054135131895, 359890668370854], 'label': '1536.408640176.48.hq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hq1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617716
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hr1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bk1', '24.dg1', '24.dv1', '24.fl1', '24.fn1', '24.fv1', '24.fx1'], 'contains': ['96.ir1', '96.jc1', '96.je1', '96.ka1', '96.kc1', '96.ls1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 4466674913186214, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.hr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hr1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617717
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hs1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bl1', '24.dk1', '24.dy1', '24.fa1', '24.fn1', '24.fw1'], 'contains': ['96.ga1', '96.gv1', '96.ir1', '96.is1', '96.ju1', '96.kd1', '96.kw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 1558054135131895, 359890668370854], 'label': '1536.408640176.48.hs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.hs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hs1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617718
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.7577399', 'aut_weyl_index': 24, 'centralizer': '192.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1'], 'contains': ['24.be1', '24.bf1', '24.bh1', '24.cs1', '24.ct1', '24.fb1', '24.fc1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1558054135131894, 4088034024283854, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.12.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '12.q1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617719
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hs2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bl1', '24.dl1', '24.dx1', '24.fm1', '24.fn1', '24.fw1', '24.fx1'], 'contains': ['96.ga2', '96.gv2', '96.iq1', '96.ir1', '96.iv1', '96.ju1', '96.kc1', '96.kd1', '96.ke1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 1558054135131895, 359890668370854], 'label': '1536.408640176.48.hs2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hs2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hs2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617720
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ht1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.be1', '24.dm1', '24.dz1', '24.fa1', '24.fb1', '24.fc1', '24.fd1'], 'contains': ['96.gb1', '96.gc1', '96.gd1', '96.gw1', '96.gw2', '96.is1', '96.iw1', '96.kh1', '96.kq1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1558054135131894, 359890668370854, 85621839531961], 'label': '1536.408640176.48.ht1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.ht1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ht1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617721
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hu1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bf1', '24.dk1', '24.ef1', '24.fb1', '24.fo1', '24.gb1'], 'contains': ['96.is1', '96.iz1', '96.ki1', '96.kr1', '96.ku1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 359890668370854, 3867165506497374, 1558428202046910], 'label': '1536.408640176.48.hu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.hu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hu1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617722
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hv1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bf1', '24.dq1', '24.dy1', '24.fc1', '24.fp1', '24.ga1'], 'contains': ['96.is1', '96.ja1', '96.kj1', '96.kr1', '96.kv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 359890668370854, 4466419656786751], 'label': '1536.408640176.48.hv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.hv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hv1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617723
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bg1', '24.dn1', '24.eb1', '24.fm1', '24.fo1', '24.gb1', '24.gc1'], 'contains': ['96.it1', '96.iv1', '96.jd1', '96.ke1', '96.kk1', '96.ku1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 3867165506497374, 1558428202046910], 'label': '1536.408640176.48.hw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hw1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617724
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bg1', '24.dp1', '24.ea1', '24.fp1', '24.fq1', '24.fx1', '24.ga1'], 'contains': ['96.iu1', '96.iv1', '96.je1', '96.ke1', '96.kl1', '96.kv1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 359890668370854, 4466419656786751], 'label': '1536.408640176.48.hx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.hx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hx1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617725
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.hy1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.x1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bh1', '24.do1', '24.ec1', '24.fa1', '24.fb1', '24.fc1', '24.fd1'], 'contains': ['96.ge1', '96.gx1', '96.is1', '96.kx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1558054135131894, 1285751207061721, 359890668370854], 'label': '1536.408640176.48.hy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.hy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hy1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617726
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.hz1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bl1', '24.dq1', '24.ef1', '24.fd1', '24.fq1', '24.gc1'], 'contains': ['96.b1', '96.gf1', '96.gy1', '96.is1', '96.iv1', '96.ke1', '96.kw1'], 'core': '96.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 1558054135131894, 359890668370854], 'label': '1536.408640176.48.hz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.hz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.hz1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617727
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ia1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bm1', '24.dg1', '24.ea1', '24.fo1', '24.fp1', '24.fs1', '24.ft1'], 'contains': ['96.iu1', '96.iz1', '96.je1', '96.kj1', '96.kk1', '96.lm1', '96.lu1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1179756178121070, 359890668370854, 4466419656786751], 'label': '1536.408640176.48.ia1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ia1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ia1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617728
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ia2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bm1', '24.dn1', '24.dv1', '24.fj1', '24.fp1', '24.fs1', '24.ga1'], 'contains': ['96.it1', '96.ja1', '96.je1', '96.kj1', '96.kl1', '96.ll1', '96.lu1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 4088271101448655, 4466419656786751], 'label': '1536.408640176.48.ia2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ia2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ia2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617729
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.7538135', 'aut_weyl_index': 24, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1'], 'contains': ['24.k1', '24.l1', '24.o1', '24.be1', '24.bh1', '24.bl1', '24.cu1', '24.cv1', '24.dc1', '24.fa1', '24.fd1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1179562545343134, 1558054135131894, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.12.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '12.r1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617730
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ia3', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bm1', '24.dp1', '24.dt1', '24.fj1', '24.fo1', '24.ft1', '24.ga1'], 'contains': ['96.iu1', '96.ja1', '96.jd1', '96.ki1', '96.kl1', '96.lm1', '96.lu1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179756178121070, 359890668370854, 4466419656786751], 'label': '1536.408640176.48.ia3', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ia3', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ia3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617731
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ib1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bm1', '24.df1', '24.eb1', '24.fi1', '24.gb1'], 'contains': ['96.it1', '96.iz1', '96.jd1', '96.ki1', '96.kk1', '96.ll1', '96.lw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1179756178121070, 359890668370854, 4466419656786750], 'label': '1536.408640176.48.ib1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ib1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ib1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617732
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ic1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bi1', '24.dr1', '24.eg1', '24.fo1', '24.fq1', '24.fw1', '24.ga1'], 'contains': ['96.is1', '96.iu1', '96.jb1', '96.ke1', '96.kl1', '96.km1', '96.ks1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 1558428202046911, 359890668370854], 'label': '1536.408640176.48.ic1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ic1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ic1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617733
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.id1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bi1', '24.dr1', '24.eh1', '24.fn1', '24.fp1', '24.gb1', '24.gc1'], 'contains': ['96.is1', '96.it1', '96.jc1', '96.ke1', '96.kk1', '96.kn1', '96.kt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.id1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.id1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.id1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617734
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ie1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bn1', '24.dr1', '24.dw1', '24.fi1', '24.fo1', '24.fs1', '24.ga1'], 'contains': ['96.gg1', '96.gz1', '96.it1', '96.iu1', '96.ix1', '96.ki1', '96.kj1', '96.km1', '96.ln1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 4913329002108151, 359890668370854, 4088271101448655], 'label': '1536.408640176.48.ie1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ie1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ie1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617735
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.if1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bn1', '24.di1', '24.eh1', '24.fe1', '24.fj1', '24.gb1'], 'contains': ['96.gh1', '96.ha1', '96.it1', '96.iy1', '96.ki1', '96.kn1', '96.lq1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 1558428202046910, 4087853328153270], 'label': '1536.408640176.48.if1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.if1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.if1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617736
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ig1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bn1', '24.dj1', '24.eg1', '24.ff1', '24.fp1', '24.ft1'], 'contains': ['96.gi1', '96.hb1', '96.iu1', '96.iy1', '96.kj1', '96.kn1', '96.lr1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 2209075491697615, 4466674913186214, 359890668370854, 4088271101448655], 'label': '1536.408640176.48.ig1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ig1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ig1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617737
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ih1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bj1', '24.dq1', '24.dx1', '24.fo1', '24.fr1', '24.ga1', '24.ge1'], 'contains': ['96.iv1', '96.ix1', '96.ja1', '96.kr1', '96.ks1', '96.lj1', '96.lm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 1558428202046911, 359890668370854], 'label': '1536.408640176.48.ih1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ih1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ih1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617738
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ii1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bj1', '24.dl1', '24.ef1', '24.fp1', '24.fr1', '24.gb1', '24.gf1'], 'contains': ['96.iv1', '96.iy1', '96.iz1', '96.kr1', '96.kt1', '96.lk1', '96.ll1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.ii1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ii1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ii1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617739
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ij1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bk1', '24.dn1', '24.ea1', '24.fq1', '24.fr1', '24.fw1', '24.ge1'], 'contains': ['96.iv1', '96.jb1', '96.je1', '96.ks1', '96.kw1', '96.lo1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1179562545343134, 1558428202046911, 359890668370854], 'label': '1536.408640176.48.ij1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ij1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ij1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617740
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.7577399', 'aut_weyl_index': 24, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1'], 'contains': ['24.m1', '24.n1', '24.p1', '24.bn1', '24.bo1', '24.bq1', '24.cw1', '24.cx1', '24.dd1', '24.fe1', '24.ff1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1179756178121070, 85621839531960, 359890668370854, 1, 4913329002108150], 'label': '1536.408640176.12.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.s1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617741
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ik1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bk1', '24.dp1', '24.eb1', '24.fn1', '24.fr1', '24.gc1', '24.gf1'], 'contains': ['96.iv1', '96.jc1', '96.jd1', '96.kt1', '96.kw1', '96.ls1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1179562545343134, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.ik1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ik1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ik1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617742
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.il1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bo1', '24.dm1', '24.ds1'], 'contains': ['96.gj1', '96.gl1', '96.gn1', '96.hc1', '96.hc2', '96.iw1', '96.ix1', '96.lg1', '96.lh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 85621839531960, 359890668370854, 4466674913186215], 'label': '1536.408640176.48.il1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.il1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.il1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617743
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.im1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bo1', '24.de1', '24.dz1', '24.fe1', '24.ff1', '24.fg1', '24.fh1'], 'contains': ['96.gk1', '96.gm1', '96.go1', '96.hd1', '96.hd2', '96.iw1', '96.iy1', '96.lg1', '96.li1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 4466674913186214, 359890668370854, 85621839531961], 'label': '1536.408640176.48.im1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.im1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.im1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617744
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.in1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bp1', '24.df1', '24.ea1', '24.fo1', '24.fr1', '24.fs1', '24.fv1'], 'contains': ['96.iz1', '96.jb1', '96.je1', '96.lj1', '96.lm1', '96.ln1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1179756178121070, 4913329002108151, 359890668370854], 'label': '1536.408640176.48.in1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.in1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.in1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617745
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.in2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bp1', '24.dn1', '24.dt1', '24.fi1', '24.fr1', '24.fv1', '24.ga1'], 'contains': ['96.ja1', '96.jb1', '96.jd1', '96.lj1', '96.ll1', '96.ln1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179756178121070, 4913329002108151, 359890668370854], 'label': '1536.408640176.48.in2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.in2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.in2', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617746
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.io1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cl1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.br1', '24.di1', '24.eg1', '24.fg1', '24.fr1', '24.fv1'], 'contains': ['96.iy1', '96.jb1', '96.lj1', '96.lp1', '96.ls1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 4466674913186214, 4087853328153271, 359890668370854], 'label': '1536.408640176.48.io1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.io1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.io1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617747
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.io2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cl1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.br1', '24.dr1', '24.dw1', '24.fk1', '24.fr1', '24.fv1', '24.ge1'], 'contains': ['96.ix1', '96.jb1', '96.jc1', '96.lj1', '96.lk1', '96.lo1', '96.lp1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 4466674913186214, 4087853328153271, 359890668370854], 'label': '1536.408640176.48.io2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.io2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.io2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617748
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ip1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bp1', '24.dg1', '24.eb1', '24.fj1', '24.fk1', '24.gb1', '24.gf1'], 'contains': ['96.iz1', '96.jc1', '96.jd1', '96.lk1', '96.ll1', '96.lq1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 359890668370854, 1558428202046910, 4087853328153270], 'label': '1536.408640176.48.ip1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ip1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ip1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617749
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.iq1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bp1', '24.dp1', '24.dv1', '24.fl1', '24.fp1', '24.ft1', '24.ge1'], 'contains': ['96.ja1', '96.jc1', '96.je1', '96.lk1', '96.lm1', '96.lr1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 2209075491697615, 4466674913186214, 359890668370854], 'label': '1536.408640176.48.iq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.iq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.iq1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617750
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.ir1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.264', 'aut_weyl_index': 192, 'centralizer': '96.bb1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bq1', '24.dh1', '24.ee1', '24.fe1', '24.ff1', '24.fg1', '24.fh1'], 'contains': ['96.gp1', '96.he1', '96.iy1', '96.lt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 4466674913186214, 359890668370854, 3982369238227081], 'label': '1536.408640176.48.ir1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.ir1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ir1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617751
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.t1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.7538135', 'aut_weyl_index': 24, 'centralizer': '192.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1'], 'contains': ['24.bo1', '24.bq1', '24.br1', '24.cy1', '24.cz1', '24.fg1', '24.fh1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 85621839531960, 359890668370854, 1, 4087853328153270, 3867638933942910], 'label': '1536.408640176.12.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.t1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.t1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617752
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.is1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cl1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.br1', '24.dj1', '24.eh1', '24.fh1', '24.fl1', '24.gf1'], 'contains': ['96.d1', '96.iy1', '96.jc1', '96.lk1', '96.ls1'], 'core': '96.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 3867638933942910, 4087853328153270], 'label': '1536.408640176.48.is1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.is1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.is1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617753
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.it1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bs1', '24.ek1', '24.el1', '24.fi1', '24.fj1', '24.fm1', '24.fn1'], 'contains': ['96.fr1', '96.gq1', '96.iq1', '96.ir1', '96.it1', '96.jd1', '96.jf1', '96.ji1', '96.jk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179756178121070, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.it1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.it1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.it1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617754
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.iu1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bt1', '24.el1', '24.fk1', '24.fl1', '24.fn1'], 'contains': ['96.ir1', '96.jc1', '96.jf1', '96.jh1', '96.js1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1822051397507041, 4466674913186214, 359890668370854], 'label': '1536.408640176.48.iu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.iu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.iu1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617755
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.iv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bs1', '24.em1', '24.en1', '24.fn1', '24.fo1', '24.fp1', '24.fq1'], 'contains': ['96.fs1', '96.gr1', '96.is1', '96.iu1', '96.iv1', '96.je1', '96.jf1', '96.jk1', '96.jm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 359890668370854, 486919748215], 'label': '1536.408640176.48.iv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.iv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.iv1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617933
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bc1', '48.bl1', '48.by1', '48.bz1', '48.dk1'], 'contains': ['192.i2', '192.l1', '192.ex1', '192.ey1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 1, 4088271101448655], 'label': '1536.408640176.96.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.bw1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bw1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617756
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.iw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bu1', '24.el1', '24.em1', '24.fi1', '24.fj1', '24.fo1', '24.fp1'], 'contains': ['96.it1', '96.iu1', '96.iz1', '96.ja1', '96.jf1', '96.jj1', '96.jr1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1821708766832455, 1179756178121070, 359890668370854], 'label': '1536.408640176.48.iw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.iw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.iw1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617757
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.ix1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bt1', '24.em1', '24.fm1', '24.fq1', '24.fr1'], 'contains': ['96.iv1', '96.jb1', '96.jf1', '96.jl1', '96.js1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 1179562545343134, 281175158881, 359890668370854], 'label': '1536.408640176.48.ix1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ix1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ix1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617758
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.iy1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bw1', '24.ek1', '24.em1', '24.fi1', '24.fk1', '24.fo1', '24.fr1'], 'contains': ['96.ix1', '96.iz1', '96.jb1', '96.jd1', '96.jf1', '96.jo1', '96.jp1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179756178121070, 4087853328153271, 359890668370854], 'label': '1536.408640176.48.iy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.iy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.iy1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617759
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.iz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bw1', '24.el1', '24.en1', '24.fj1', '24.fl1', '24.fp1', '24.fr1'], 'contains': ['96.iy1', '96.ja1', '96.jc1', '96.je1', '96.jf1', '96.jo1', '96.jq1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1821708766832455, 4466674913186214, 359890668370854], 'label': '1536.408640176.48.iz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.iz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.iz1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617760
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.ja1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bs1', '24.el1', '24.ep1', '24.fs1', '24.ft1', '24.fw1', '24.fx1'], 'contains': ['96.ft1', '96.gs1', '96.iq1', '96.ir1', '96.iu1', '96.je1', '96.jg1', '96.jw1', '96.kg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 486919748214, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.ja1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ja1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ja1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617761
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.jb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bt1', '24.ek1', '24.ep1', '24.fu1', '24.fv1', '24.fw1'], 'contains': ['96.ir1', '96.jb1', '96.jg1', '96.jv1', '96.le1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 486919748214, 3867165506497375, 359890668370854], 'label': '1536.408640176.48.jb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.jb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jb1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617762
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '12.u1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1'], 'contains': ['24.bf1', '24.bg1', '24.bi1', '24.bj1', '24.bm1', '24.bn1', '24.bp1', '24.bs1', '24.bu1', '24.bw1', '24.bx1', '24.cc1', '24.cj1', '24.cl1', '24.fi1', '24.fj1', '24.fo1', '24.fp1', '24.fs1', '24.ft1', '24.ga1', '24.gb1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1179562545343134, 359890668370854, 1, 4466419656786750, 1558328574027631], 'label': '1536.408640176.12.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '12.u1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.u1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617763
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.jc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bs1', '24.em1', '24.eq1', '24.fw1', '24.ga1', '24.gb1', '24.gc1'], 'contains': ['96.fu1', '96.gt1', '96.is1', '96.it1', '96.iv1', '96.jd1', '96.jg1', '96.kg1', '96.kp1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 486919748214, 1179562545343134, 359890668370854], 'label': '1536.408640176.48.jc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jc1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617764
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.jd1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bu1', '24.ek1', '24.eq1', '24.fs1', '24.fy1', '24.gb1'], 'contains': ['96.it1', '96.iz1', '96.jg1', '96.kf1', '96.lc1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1179756178121070, 1821708766832454, 359890668370854], 'label': '1536.408640176.48.jd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.jd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jd1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617765
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.je1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bu1', '24.en1', '24.ep1', '24.ft1', '24.fz1', '24.ga1'], 'contains': ['96.iu1', '96.ja1', '96.jg1', '96.kf1', '96.ld1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 486919748214, 4913329002108151, 359890668370854], 'label': '1536.408640176.48.je1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.je1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.je1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617766
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.jf1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bt1', '24.en1', '24.eq1', '24.fx1', '24.gc1', '24.gd1', '24.ge1', '24.gf1', '24.gg1'], 'contains': ['96.iv1', '96.jc1', '96.jg1', '96.ko1', '96.le1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 486919748214, 359890668370854, 3867165506497374], 'label': '1536.408640176.48.jf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.jf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jf1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617767
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jg1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bv1', '24.eo1', '24.er1', '24.fu1', '24.fy1', '24.fz1', '24.gd1'], 'contains': ['96.fv1', '96.fw1', '96.jg1', '96.ky1', '96.lf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 1822051397507040, 359890668370854, 85621839531961], 'label': '1536.408640176.48.jg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.jg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jg1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617768
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.jh1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bw1', '24.em1', '24.ep1', '24.fs1', '24.fv1', '24.ga1', '24.ge1'], 'contains': ['96.ix1', '96.ja1', '96.jb1', '96.je1', '96.jg1', '96.kz1', '96.la1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 486919748214, 4087853328153271, 359890668370854], 'label': '1536.408640176.48.jh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jh1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617769
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.ji1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bw1', '24.el1', '24.eq1', '24.ft1', '24.fv1', '24.gb1', '24.gf1'], 'contains': ['96.iy1', '96.iz1', '96.jc1', '96.jd1', '96.jg1', '96.kz1', '96.lb1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1821708766832454, 359890668370854, 1558428202046910, 1558328574027631], 'label': '1536.408640176.48.ji1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ji1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ji1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617770
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bx1', '24.dk1', '24.dl1', '24.fi1', '24.fj1', '24.gn1', '24.go1'], 'contains': ['96.ji1', '96.jj1', '96.jo1', '96.ju1', '96.jy1', '96.ki1', '96.ll1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 1179562545343135, 1558328574027631], 'label': '1536.408640176.48.jj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jj1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617771
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.by1', '24.df1', '24.dg1', '24.fm1', '24.fn1', '24.gn1', '24.go1'], 'contains': ['96.ji1', '96.jk1', '96.js1', '96.ju1', '96.kc1', '96.kk1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 4466581508513575, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.jk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jk1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617772
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jl1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bz1', '24.di1', '24.dj1', '24.fn1', '24.gh1', '24.go1'], 'contains': ['96.jh1', '96.jk1', '96.ju1', '96.kn1', '96.ls1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1822051397507041, 4466674913186214, 359890668370854, 4088271101448655], 'label': '1536.408640176.48.jl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.jl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jl1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617773
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.v1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.f1', '6.h1', '6.i1'], 'contains': ['24.bt1', '24.bv1', '24.ca1', '24.ce1', '24.cn1', '24.fu1', '24.gd1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.12.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.v1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.v1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617774
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.ca1', '24.de1', '24.gh1', '24.gi1', '24.gj1'], 'contains': ['96.hf1', '96.hg1', '96.jh1', '96.jn1', '96.jx1', '96.li1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1822051397507041, 86082708280015, 4466674913186214, 359890668370854], 'label': '1536.408640176.48.jm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.jm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jm1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617775
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cb1', '24.dl1', '24.fk1', '24.fl1', '24.go1'], 'contains': ['96.jh1', '96.jo1', '96.jy1', '96.kc1', '96.lk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1822051397507041, 4466674913186214, 359890668370854], 'label': '1536.408640176.48.jn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jn1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617776
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.jo1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cc1', '24.df1', '24.fi1', '24.gq1'], 'contains': ['96.ji1', '96.jp1', '96.jr1', '96.jz1', '96.kb1', '96.ln1', '96.lw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 486919748215, 4466419656786750], 'label': '1536.408640176.48.jo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jo1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617777
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.jp1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cg1', '24.di1', '24.fk1', '24.gi1', '24.gq1'], 'contains': ['96.jh1', '96.jp1', '96.jz1', '96.lp1', '96.lq1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 359890668370854, 1558428202046910, 4087853328153270], 'label': '1536.408640176.48.jp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.jp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jp1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617778
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.jq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cc1', '24.dg1', '24.fj1', '24.gq1', '24.gr1'], 'contains': ['96.ji1', '96.jq1', '96.jr1', '96.ka1', '96.kb1', '96.lq1', '96.lu1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 486919748215, 1558428202046910, 4087853328153270], 'label': '1536.408640176.48.jq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jq1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617779
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jr1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cf1', '24.dh1', '24.gh1', '24.gi1', '24.gj1'], 'contains': ['96.jh1', '96.lt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1822051397507041, 4466674913186214, 3982176232894495, 359890668370854], 'label': '1536.408640176.48.jr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.jr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jr1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617780
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.js1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cg1', '24.dj1', '24.fl1', '24.gj1', '24.gr1'], 'contains': ['96.d1', '96.jh1', '96.jq1', '96.ka1', '96.lr1'], 'core': '96.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 359890668370854, 3867638933942910, 4087853328153270], 'label': '1536.408640176.48.js1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.js1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.js1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617781
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.jt1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.ch1', '24.dk1', '24.fm1', '24.gk1', '24.gq1'], 'contains': ['96.ji1', '96.jl1', '96.jz1', '96.kd1', '96.ku1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 486919748215, 3867165506497374, 1558428202046910], 'label': '1536.408640176.48.jt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.jt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jt1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617782
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ju1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.ch1', '24.dl1', '24.fn1', '24.gq1', '24.gr1'], 'contains': ['96.jh1', '96.ji1', '96.jm1', '96.ka1', '96.kb1', '96.kd1', '96.kt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370854, 486919748215, 1558428202046910], 'label': '1536.408640176.48.ju1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ju1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ju1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617783
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bx1', '24.dl1', '24.dq1', '24.fo1', '24.fp1', '24.gt1', '24.gu1'], 'contains': ['96.jj1', '96.jm1', '96.jo1', '96.ke1', '96.kj1', '96.kr1', '96.lm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370854, 486919748215, 1558328574027631], 'label': '1536.408640176.48.jv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jv1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617784
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '768.a1', 'complements': ['384.bn1', '384.bs1', '384.cd1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '12.a1', '16.b1', '16.c1', '16.d1', '16.e1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 1821708766832454, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.4.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '768.1090134', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '768.1090134'}
  • id: 62617785
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '12.w1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.h1'], 'contains': ['24.bj1', '24.bk1', '24.bp1', '24.br1', '24.bt1', '24.bw1', '24.cb1', '24.cg1', '24.co1', '24.fk1', '24.fl1', '24.fr1', '24.fv1', '24.ge1', '24.gf1'], 'core': '48.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 1821708766832454, 359890668370854, 1, 1558428202046910], 'label': '1536.408640176.12.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.w1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.w1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617786
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.by1', '24.dn1', '24.dp1', '24.fn1', '24.fq1', '24.gt1', '24.gu1'], 'contains': ['96.jk1', '96.jm1', '96.js1', '96.ke1', '96.kl1', '96.kw1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 4466581508513575, 359890668370854, 486919748215], 'label': '1536.408640176.48.jw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jw1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617787
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.jx1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.ci1', '24.de1', '24.dm1'], 'contains': ['96.hh1', '96.hi1', '96.jj1', '96.jn1', '96.kh1', '96.lg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1822051397507041, 85621839531960, 359890668370854, 1558328574027631], 'label': '1536.408640176.48.jx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '48.jx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jx1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617788
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jy1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cj1', '24.df1', '24.dp1', '24.fj1', '24.fo1', '24.go1', '24.gt1'], 'contains': ['96.jk1', '96.jo1', '96.jr1', '96.ki1', '96.kl1', '96.lm1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 1179756178121070, 359890668370854, 1558328574027631], 'label': '1536.408640176.48.jy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jy1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617789
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jy2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cj1', '24.dg1', '24.dn1', '24.fi1', '24.fp1', '24.go1', '24.gt1'], 'contains': ['96.jk1', '96.jo1', '96.jr1', '96.kj1', '96.kk1', '96.ll1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 3867807024594391, 1821708766832455, 1179756178121070, 359890668370854], 'label': '1536.408640176.48.jy2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jy2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jy2', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617790
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.jz1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bz1', '24.dr1', '24.fm1', '24.fq1', '24.gt1'], 'contains': ['96.jk1', '96.jl1', '96.ke1', '96.km1', '96.lo1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 1179562545343134, 1558496612582695, 359890668370854], 'label': '1536.408640176.48.jz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.jz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.jz1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617791
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ka1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cl1', '24.di1', '24.dr1', '24.fi1', '24.fo1', '24.gn1', '24.gt1'], 'contains': ['96.jj1', '96.jk1', '96.jp1', '96.ki1', '96.kk1', '96.km1', '96.lj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 4087853328153271, 359890668370854, 1558328574027631], 'label': '1536.408640176.48.ka1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ka1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ka1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617792
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cl1', '24.dj1', '24.dr1', '24.fj1', '24.fp1', '24.go1', '24.gu1'], 'contains': ['96.jj1', '96.jk1', '96.jq1', '96.kj1', '96.kl1', '96.kn1', '96.lk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1821708766832455, 4466674913186214, 359890668370854], 'label': '1536.408640176.48.kb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kb1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617793
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.ca1', '24.dm1', '24.gk1', '24.gl1', '24.gm1'], 'contains': ['96.hj1', '96.hk1', '96.jl1', '96.jn1', '96.kq1', '96.lh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1822051397507041, 86082708280015, 1558054135131894, 359890668370854], 'label': '1536.408640176.48.kc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.kc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kc1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617794
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kd1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cb1', '24.dk1', '24.dq1', '24.fr1', '24.gl1', '24.gt1'], 'contains': ['96.jl1', '96.jo1', '96.kr1', '96.kw1', '96.lj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 1179562545343134, 359890668370854, 1558328574027631], 'label': '1536.408640176.48.kd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.kd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kd1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617795
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ke1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cc1', '24.dn1', '24.fo1', '24.gq1', '24.gx1'], 'contains': ['96.jm1', '96.jp1', '96.jr1', '96.ks1', '96.ku1', '96.ln1', '96.lu1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 359890668370854, 3867165506497374, 1558428202046910], 'label': '1536.408640176.48.ke1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ke1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ke1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617796
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.x1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.g1', '6.h1', '6.i1'], 'contains': ['24.bt1', '24.cd1', '24.cf1', '24.gg1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1285751207061720, 1], 'label': '1536.408640176.12.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.x1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.x1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617797
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kf1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cd1', '24.do1', '24.gk1', '24.gl1', '24.gm1'], 'contains': ['96.jl1', '96.kx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1822051397507041, 1558054135131894, 359890668370854, 1286031869723215], 'label': '1536.408640176.48.kf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.kf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kf1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617798
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.kg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cg1', '24.dr1', '24.fr1', '24.gq1', '24.gx1'], 'contains': ['96.jl1', '96.jp1', '96.jq1', '96.ks1', '96.kt1', '96.ln1', '96.lp1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 1179562545343134, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.kg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kg1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617799
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.kh1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cc1', '24.dp1', '24.fp1', '24.gr1', '24.gx1'], 'contains': ['96.jm1', '96.jq1', '96.jr1', '96.kt1', '96.kv1', '96.lr1', '96.lu1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822051397507041, 1822337812123926, 1179562545343134, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.kh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kh1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617800
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ki1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.ch1', '24.dq1', '24.fq1', '24.gm1', '24.gx1'], 'contains': ['96.b1', '96.jl1', '96.jm1', '96.ks1', '96.kv1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131894, 359890668370854, 486919748215], 'label': '1536.408640176.48.ki1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ki1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ki1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617801
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.co1', '24.df1', '24.dn1', '24.fk1', '24.fr1', '24.gn1', '24.gt1'], 'contains': ['96.jo1', '96.jp1', '96.js1', '96.lj1', '96.ll1', '96.lo1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 4466581508513575, 4087853328153271, 359890668370854], 'label': '1536.408640176.48.kj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kj1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617802
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.co1', '24.dg1', '24.dp1', '24.fl1', '24.fr1', '24.go1', '24.gu1'], 'contains': ['96.jo1', '96.jq1', '96.js1', '96.lk1', '96.lm1', '96.ls1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 4466674913186214, 359890668370854, 3058714558529695], 'label': '1536.408640176.48.kk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kk1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617803
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.kl1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cp1', '24.ek1', '24.gn1', '24.gp1', '24.gq1'], 'contains': ['96.ji1', '96.jp1', '96.jt1', '96.jv1', '96.lc1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 1821708766832454, 359890668370854, 486919748215], 'label': '1536.408640176.48.kl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.kl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kl1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617804
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.km1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cp1', '24.el1', '24.go1', '24.gq1', '24.gr1'], 'contains': ['96.jh1', '96.ji1', '96.jq1', '96.jr1', '96.jt1', '96.jw1', '96.lb1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832454, 1558054135131895, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.km1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.km1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.km1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617805
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.kn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cq1', '24.ek1', '24.en1', '24.go1', '24.gs1', '24.gt1'], 'contains': ['96.jk1', '96.jo1', '96.jt1', '96.kf1', '96.le1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 3867807024594391, 1821708766832455, 359890668370854], 'label': '1536.408640176.48.kn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.kn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kn1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617806
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.kn2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cq1', '24.el1', '24.em1', '24.gn1', '24.go1', '24.gt1', '24.gu1'], 'contains': ['96.jj1', '96.jk1', '96.jo1', '96.js1', '96.jt1', '96.kg1', '96.kz1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 486919748214, 1821708766832455, 359890668370854], 'label': '1536.408640176.48.kn2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kn2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kn2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617807
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '12.y1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.i1'], 'contains': ['24.bg1', '24.bi1', '24.bk1', '24.bl1', '24.bs1', '24.bt1', '24.by1', '24.bz1', '24.ch1', '24.fm1', '24.fn1', '24.fq1', '24.fw1', '24.fx1', '24.gc1'], 'core': '48.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 486919748214, 1179562545343134, 1558054135131894, 359890668370854, 1], 'label': '1536.408640176.12.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.y1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.y1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617808
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.ko1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.51', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cp1', '24.em1', '24.gq1', '24.gt1', '24.gx1'], 'contains': ['96.jl1', '96.jm1', '96.jp1', '96.jr1', '96.jt1', '96.kp1', '96.la1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1821708766832455, 1179562545343134, 359890668370854], 'label': '1536.408640176.48.ko1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ko1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ko1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62617809
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.kp1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cp1', '24.en1', '24.gr1', '24.gu1', '24.gv1', '24.gw1', '24.gx1'], 'contains': ['96.jm1', '96.jq1', '96.jt1', '96.ko1', '96.ld1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1821708766832455, 359890668370854, 3867165506497374], 'label': '1536.408640176.48.kp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.kp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kp1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617810
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kq1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cr1', '24.eo1', '24.gp1', '24.gs1', '24.gv1'], 'contains': ['96.hl1', '96.hm1', '96.jt1', '96.ky1', '96.lf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1822051397507040, 85634286366367, 359890668370854, 486919748215], 'label': '1536.408640176.48.kq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.kq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kq1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617811
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kr1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bx1', '24.dx1', '24.dy1', '24.fs1', '24.ft1', '24.go1', '24.gy1'], 'contains': ['96.ju1', '96.jw1', '96.jy1', '96.kf1', '96.kj1', '96.kz1', '96.lm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 359890668370854, 1179562545343135, 1558328574027631], 'label': '1536.408640176.48.kr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kr1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617812
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ks1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.by1', '24.dt1', '24.dv1', '24.fw1', '24.fx1', '24.go1', '24.gy1'], 'contains': ['96.ju1', '96.jw1', '96.kc1', '96.kg1', '96.kl1', '96.le1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 4466581508513575, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.ks1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ks1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ks1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617813
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kt1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bz1', '24.dw1', '24.fw1', '24.gn1', '24.gy1'], 'contains': ['96.ju1', '96.jv1', '96.kg1', '96.km1', '96.lo1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 3867165506497375, 359890668370854, 4088271101448655], 'label': '1536.408640176.48.kt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kt1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617814
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ku1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.ca1', '24.ds1', '24.fu1', '24.gp1', '24.gz1'], 'contains': ['96.hn1', '96.ho1', '96.jv1', '96.jx1', '96.ky1', '96.lh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131895, 1822051397507040, 359890668370854], 'label': '1536.408640176.48.ku1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.ku1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ku1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617815
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kv1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cb1', '24.dx1', '24.fv1', '24.gn1', '24.gy1'], 'contains': ['96.jv1', '96.jy1', '96.kc1', '96.kz1', '96.lj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 486919748214, 3867165506497375, 359890668370854], 'label': '1536.408640176.48.kv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kv1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617816
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.kw1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cc1', '24.dt1', '24.fs1', '24.gq1', '24.hc1'], 'contains': ['96.jw1', '96.jz1', '96.kb1', '96.la1', '96.lc1', '96.ln1', '96.lu1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 1821708766832454, 1558054135131895, 359890668370854], 'label': '1536.408640176.48.kw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kw1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617817
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.kx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.ce1', '24.du1', '24.fu1', '24.gp1', '24.gz1'], 'contains': ['96.jv1', '96.lf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558054135131895, 1822051397507040, 85634286366367, 359890668370854], 'label': '1536.408640176.48.kx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.kx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kx1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617818
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.z1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.16888', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1'], 'contains': ['24.bu1', '24.bv1', '24.ci1', '24.ck1', '24.cm1', '24.fy1', '24.fz1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 85621839531960, 359890668370854, 1, 4466419656786750, 1558428202046910], 'label': '1536.408640176.12.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '12.z1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.z1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617819
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ky1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cg1', '24.dw1', '24.fv1', '24.gq1', '24.hc1'], 'contains': ['96.jv1', '96.jz1', '96.ka1', '96.la1', '96.lb1', '96.ln1', '96.lp1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832454, 359890668370854, 1179562545343135, 1558428202046910], 'label': '1536.408640176.48.ky1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ky1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ky1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617820
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.kz1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cc1', '24.dv1', '24.ft1', '24.gr1', '24.hc1'], 'contains': ['96.jw1', '96.ka1', '96.kb1', '96.lb1', '96.ld1', '96.lr1', '96.lu1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832454, 3867165506497375, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.kz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.kz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.kz1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617821
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.la1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cp1', '24.ep1', '24.gy1', '24.gz1', '24.hc1'], 'contains': ['96.c1', '96.jv1', '96.jw1', '96.la1', '96.ld1'], 'core': '96.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1821708766832454, 359890668370854, 1179562545343135], 'label': '1536.408640176.48.la1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.la1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.la1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617822
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.lb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.ch1', '24.dx1', '24.fw1', '24.gq1', '24.hc1'], 'contains': ['96.jv1', '96.jw1', '96.jz1', '96.kb1', '96.kd1', '96.kp1', '96.ks1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1179562545343134, 1558054135131895, 359890668370854], 'label': '1536.408640176.48.lb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.lb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lb1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617823
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.lc1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.ch1', '24.dy1', '24.fx1', '24.gr1', '24.ha1', '24.hb1', '24.hc1'], 'contains': ['96.jw1', '96.ka1', '96.kd1', '96.ko1', '96.kv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1558054135131895, 359890668370854, 3867165506497374], 'label': '1536.408640176.48.lc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.lc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lc1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617824
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ld1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cv1', '24.es1', '24.fa1', '24.gk1', '24.ha1'], 'contains': ['96.hp1', '96.hq1', '96.kd1', '96.kq1', '96.kx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 359890668370854, 1179562545343135, 1286031869723215], 'label': '1536.408640176.48.ld1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.ld1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ld1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617825
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.le1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bx1', '24.dx1', '24.ef1', '24.ga1', '24.gb1', '24.gt1', '24.hg1'], 'contains': ['96.ke1', '96.kf1', '96.ki1', '96.kp1', '96.kr1', '96.kz1', '96.ll1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1179562545343134, 359890668370854, 1558328574027631], 'label': '1536.408640176.48.le1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.le1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.le1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617826
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.lf1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.by1', '24.ea1', '24.eb1', '24.fw1', '24.gc1', '24.gt1', '24.hg1'], 'contains': ['96.ke1', '96.kg1', '96.kk1', '96.kp1', '96.kw1', '96.le1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1179562545343134, 4466581508513575, 359890668370854], 'label': '1536.408640176.48.lf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.lf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lf1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617827
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.lg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ci1', '24.ds1', '24.dz1', '24.fy1', '24.fz1', '24.gs1', '24.hd1'], 'contains': ['96.hr1', '96.hs1', '96.kf1', '96.kh1', '96.ky1', '96.lg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1822051397507040, 359890668370854, 85621839531961, 1558328574027631], 'label': '1536.408640176.48.lg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.lg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lg1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617828
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.lh1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cj1', '24.dt1', '24.eb1', '24.fs1', '24.gb1', '24.gn1', '24.hg1'], 'contains': ['96.kg1', '96.ki1', '96.kk1', '96.kz1', '96.lc1', '96.ll1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 1821708766832454, 359890668370854, 1558328574027631], 'label': '1536.408640176.48.lh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.lh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lh1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617829
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.ba1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.10482065', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '6.i1', '6.j1'], 'contains': ['24.bz1', '24.ca1', '24.cf1', '24.cw1', '24.cy1', '24.gh1', '24.he1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854, 1, 4088271101448655], 'label': '1536.408640176.12.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ba1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.ba1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617830
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.li1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cj1', '24.dv1', '24.ea1', '24.ft1', '24.ga1', '24.gu1', '24.gy1'], 'contains': ['96.kg1', '96.kj1', '96.kl1', '96.kz1', '96.ld1', '96.lm1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 486919748214, 4913329002108151, 359890668370854], 'label': '1536.408640176.48.li1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.li1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.li1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617831
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.lj1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ck1', '24.du1', '24.ed1', '24.fy1', '24.fz1', '24.gs1', '24.hd1'], 'contains': ['96.kf1', '96.lf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1822051397507040, 359890668370854, 86101382114929, 1558328574027631], 'label': '1536.408640176.48.lj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.lj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lj1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617832
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.lk1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cq1', '24.ep1', '24.eq1', '24.gy1', '24.hd1', '24.hg1'], 'contains': ['96.c1', '96.kf1', '96.kg1', '96.kz1', '96.le1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 486919748214, 1821708766832454, 359890668370854], 'label': '1536.408640176.48.lk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.lk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lk1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617833
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ll1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bz1', '24.eg1', '24.eh1', '24.fx1', '24.gc1', '24.gu1', '24.he1', '24.hf1', '24.hg1'], 'contains': ['96.ke1', '96.kg1', '96.kn1', '96.ko1', '96.ls1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 4466581508513575, 359890668370854, 3867165506497374], 'label': '1536.408640176.48.ll1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ll1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ll1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617834
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.lm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cl1', '24.dw1', '24.eg1', '24.fs1', '24.ga1', '24.gt1', '24.gy1'], 'contains': ['96.kf1', '96.kg1', '96.kj1', '96.kl1', '96.km1', '96.la1', '96.lj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 4466581508513575, 4087853328153271, 359890668370854], 'label': '1536.408640176.48.lm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.lm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lm1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617835
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ln1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cl1', '24.dw1', '24.eh1', '24.ft1', '24.gb1', '24.go1', '24.hg1'], 'contains': ['96.kf1', '96.kg1', '96.ki1', '96.kk1', '96.kn1', '96.lb1', '96.lk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1821708766832454, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.ln1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ln1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ln1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617836
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.lo1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.cw1', '24.ev1', '24.ew1', '24.fe1', '24.ff1', '24.gh1', '24.he1'], 'contains': ['96.ht1', '96.hu1', '96.kn1', '96.li1', '96.lt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 359890668370854, 85621839531961, 4088271101448655], 'label': '1536.408640176.48.lo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.lo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lo1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617837
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.lp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ca1', '24.dz1', '24.gd1', '24.gv1', '24.ha1', '24.he1', '24.hh1', '24.hi1', '24.hj1', '24.hn1', '24.hp1'], 'contains': ['96.hv1', '96.hw1', '96.ko1', '96.kq1', '96.ky1', '96.li1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 1822051397507040, 359890668370854], 'label': '1536.408640176.48.lp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.lp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lp1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617838
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.lq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.cb1', '24.dy1', '24.ef1', '24.ge1', '24.gf1', '24.gu1', '24.hg1', '24.hh1', '24.hk1'], 'contains': ['96.ko1', '96.kr1', '96.kw1', '96.kz1', '96.lk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 359890668370854, 3867165506497374, 1558328574027631], 'label': '1536.408640176.48.lq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.lq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lq1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617839
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.lr1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cc1', '24.ea1', '24.ga1', '24.gx1', '24.hc1'], 'contains': ['96.kp1', '96.ks1', '96.kv1', '96.la1', '96.ld1', '96.ln1', '96.lu1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1179562545343134, 359890668370854, 4466419656786751], 'label': '1536.408640176.48.lr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.lr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lr1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617841
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.ls1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.cg1', '24.eg1', '24.ge1', '24.gx1', '24.hc1', '24.hi1', '24.hl1'], 'contains': ['96.ko1', '96.ks1', '96.la1', '96.lp1', '96.lr1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 359890668370854, 3867165506497374, 4466419656786751], 'label': '1536.408640176.48.ls1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ls1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ls1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617842
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.lt1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1', '24.cc1', '24.eb1', '24.gb1', '24.gq1'], 'contains': ['96.kp1', '96.kt1', '96.ku1', '96.lb1', '96.lc1', '96.lq1', '96.lw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 359890668370854, 4466419656786750], 'label': '1536.408640176.48.lt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.lt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lt1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617843
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.lu1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cd1', '24.ec1', '24.gg1', '24.gw1', '24.ha1', '24.hf1', '24.hh1', '24.hl1', '24.hm1', '24.ho1', '24.hp1'], 'contains': ['96.ko1', '96.kx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1286031869723215], 'label': '1536.408640176.48.lu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.lu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lu1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617844
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.lv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ce1', '24.ed1', '24.gd1', '24.gv1', '24.hb1', '24.hf1', '24.hk1', '24.hl1', '24.hm1', '24.hn1', '24.hq1'], 'contains': ['96.ko1', '96.lf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1779060146112295], 'label': '1536.408640176.48.lv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.lv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lv1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617845
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.lw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.138', 'aut_weyl_index': 192, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cf1', '24.ee1', '24.gg1', '24.gw1', '24.hb1', '24.he1', '24.hi1', '24.hj1', '24.hk1', '24.ho1', '24.hq1'], 'contains': ['96.ko1', '96.lt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 3982176232894495, 1822051397507040, 359890668370854], 'label': '1536.408640176.48.lw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.lw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lw1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617846
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.lx1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1', '24.cg1', '24.eh1', '24.gf1', '24.gr1', '24.hj1', '24.hm1'], 'contains': ['96.d1', '96.ko1', '96.kt1', '96.lb1', '96.lq1'], 'core': '96.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1821708766832454, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.lx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.lx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lx1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617847
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '48.ly1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 192, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1', '24.cp1', '24.eq1', '24.hc1', '24.hg1', '24.hn1', '24.ho1'], 'contains': ['96.c1', '96.ko1', '96.kp1', '96.lb1', '96.lc1'], 'core': '96.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 1821708766832454, 359890668370854], 'label': '1536.408640176.48.ly1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ly1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ly1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617848
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.lz1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.i1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.cs1', '24.es1', '24.ez1', '24.fb1', '24.fc1', '24.gl1', '24.hh1'], 'contains': ['96.kq1', '96.kr1', '96.kx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1558054135131894, 359890668370854, 85621839531961], 'label': '1536.408640176.48.lz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.lz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.lz1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617849
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ma1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ct1', '24.ex1', '24.fb1', '24.gk1', '24.hp1'], 'contains': ['96.kq1', '96.ku1', '96.kx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 4088034024283854, 359890668370854], 'label': '1536.408640176.48.ma1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.ma1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ma1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617850
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.mb1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ct1', '24.ey1', '24.fc1', '24.gm1', '24.ha1'], 'contains': ['96.kq1', '96.kv1', '96.kx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 4088034024283855, 1558054135131894, 359890668370854], 'label': '1536.408640176.48.mb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.mb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mb1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617851
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.bc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.10482065', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1', '6.h1', '6.j1'], 'contains': ['24.ca1', '24.cb1', '24.cd1', '24.cs1', '24.cu1', '24.gl1', '24.hh1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854, 1], 'label': '1536.408640176.12.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bc1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bc1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617852
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.mc1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.cu1', '24.ex1', '24.ey1', '24.fa1', '24.fd1', '24.gl1', '24.hh1'], 'contains': ['96.hx1', '96.hy1', '96.kq1', '96.kw1', '96.kx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822337812123926, 4087934280229231, 1558054135131894, 359890668370854, 85621839531961], 'label': '1536.408640176.48.mc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.mc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mc1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617853
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '48.md1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1', '24.ch1', '24.ef1', '24.gc1', '24.gx1', '24.hp1', '24.hq1'], 'contains': ['96.b1', '96.ko1', '96.kp1', '96.kt1', '96.ku1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 359890668370854], 'label': '1536.408640176.48.md1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.md1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.md1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617854
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.me1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.k1', '24.cv1', '24.ez1', '24.fd1', '24.gm1', '24.hp1'], 'contains': ['96.b1', '96.hz1', '96.ia1', '96.kq1', '96.kx1'], 'core': '96.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 359890668370854], 'label': '1536.408640176.48.me1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.me1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.me1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617855
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.mf1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cm1', '24.ei1', '24.fy1', '24.gp1', '24.hn1'], 'contains': ['96.ky1', '96.lc1', '96.lf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 359890668370854, 4466419656786750, 1558428202046910], 'label': '1536.408640176.48.mf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.mf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mf1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617856
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.mg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cm1', '24.ej1', '24.fz1', '24.gv1', '24.gz1'], 'contains': ['96.ky1', '96.ld1', '96.lf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1822051397507040, 1558428202046911, 359890668370854], 'label': '1536.408640176.48.mg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.mg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mg1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617857
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.mh1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.cn1', '24.ei1', '24.ej1', '24.fu1', '24.gd1', '24.gs1', '24.hd1'], 'contains': ['96.ky1', '96.le1', '96.lf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822337812123926, 1558496612582695, 1822051397507040, 359890668370854, 85621839531961], 'label': '1536.408640176.48.mh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.mh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mh1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617990
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ds1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.co1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.co1', '48.ej1'], 'contains': ['192.by2', '192.cf1', '192.cg1', '192.cw1', '192.cx1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1179756178121070, 795533260052208, 1822337812123927], 'label': '1536.408640176.96.ds1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.ds1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ds1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617858
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.mi1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.co1', '24.dt1', '24.ea1', '24.fv1', '24.ge1', '24.gt1', '24.gy1'], 'contains': ['96.kz1', '96.la1', '96.le1', '96.lj1', '96.lm1', '96.lo1', '96.lx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 4087853328153271, 359890668370854, 1558328574027631], 'label': '1536.408640176.48.mi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.mi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mi1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617859
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.mj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 192, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.co1', '24.dv1', '24.eb1', '24.fv1', '24.gf1', '24.go1', '24.hg1'], 'contains': ['96.kz1', '96.lb1', '96.le1', '96.lk1', '96.ll1', '96.ls1', '96.lv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 3867807024594391, 1821708766832454, 359890668370854, 1558428202046910], 'label': '1536.408640176.48.mj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.mj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mj1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62617860
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.mk1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.l1', '24.cr1', '24.er1', '24.gz1', '24.hd1', '24.hn1'], 'contains': ['96.c1', '96.ib1', '96.ic1', '96.ky1', '96.lf1'], 'core': '96.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 86082708280015, 1821708766832454, 359890668370854], 'label': '1536.408640176.48.mk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.mk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mk1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62617861
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.ml1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cz1', '24.ev1', '24.fg1', '24.gi1', '24.hi1'], 'contains': ['96.li1', '96.lp1', '96.lt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 3982176232894495, 4087853328153271, 359890668370854], 'label': '1536.408640176.48.ml1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.ml1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ml1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617862
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.bd1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '6.h1', '6.k1'], 'contains': ['24.ca1', '24.cf1', '24.cg1', '24.cx1', '24.cz1', '24.gi1', '24.gj1', '24.hi1', '24.hj1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 1179756178121070, 359890668370854, 1, 4087853328153270], 'label': '1536.408640176.12.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bd1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bd1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617863
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.mm1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cx1', '24.et1', '24.fe1', '24.gi1', '24.hj1'], 'contains': ['96.id1', '96.if1', '96.li1', '96.lq1', '96.lt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1179756178121070, 359890668370854, 4913329002108150], 'label': '1536.408640176.48.mm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.mm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mm1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617864
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.mn1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.cx1', '24.eu1', '24.ff1', '24.gj1', '24.hi1'], 'contains': ['96.ie1', '96.ig1', '96.li1', '96.lr1', '96.lt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 2209075491697615, 86082708280015, 4466674913186214, 359890668370854], 'label': '1536.408640176.48.mn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.mn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mn1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617865
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '48.mo1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.l1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.cy1', '24.et1', '24.eu1', '24.fg1', '24.fh1', '24.gh1', '24.he1'], 'contains': ['96.li1', '96.ls1', '96.lt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 359890668370854, 85621839531961, 2208708020989111], 'label': '1536.408640176.48.mo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.mo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mo1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617866
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '48.mp1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.46', 'aut_weyl_index': 384, 'centralizer': '192.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.m1', '24.cz1', '24.ew1', '24.fh1', '24.gj1', '24.hj1'], 'contains': ['96.d1', '96.li1', '96.lt1'], 'core': '96.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 359890668370854, 3867638933942910, 4087853328153270], 'label': '1536.408640176.48.mp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.mp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.mp1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 62617867
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.c1', '16.d1', '16.e1', '32.a1', '32.b1'], 'contains': ['128.c1', '192.a1', '256.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1822337812123926, 83903140502304, 359890668370854, 1], 'label': '1536.408640176.64.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '64.a1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617868
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '48.38', 'aut_weyl_index': 256, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.f1'], 'contains': ['128.a1', '128.b1', '128.d1', '192.r1'], 'core': '768.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [735925060135, 85621839531960, 83903140502304, 1], 'label': '1536.408640176.64.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.b1', 'old_label': '64.b1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62617869
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '32.c1', '32.e1'], 'contains': ['128.f1', '192.ba1', '256.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [486919748214, 83903140502304, 723416299248, 1], 'label': '1536.408640176.64.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.f1', 'old_label': '64.c1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617870
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '64.c2', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '32.d1'], 'contains': ['128.f2', '192.ba2', '256.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [795377379173040, 1821864384688488, 83903140502304, 1], 'label': '1536.408640176.64.c2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1', 'old_label': '64.c2', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 62617871
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '768.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '32.f1'], 'contains': ['128.e1', '192.bd1', '256.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894, 83903140502304, 1], 'label': '1536.408640176.64.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.f1', 'old_label': '64.d1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617872
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '16.h1', '16.i1', '16.j1', '32.a1', '32.g1'], 'contains': ['128.c1', '192.b1', '256.b1'], 'core': '192.b1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 83903140502304, 359890668370854], 'label': '1536.408640176.64.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '64.e1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617873
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.be1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.10482065', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.e1', '6.h1', '6.j1'], 'contains': ['24.cb1', '24.ce1', '24.cf1', '24.hk1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1, 1779521014819080], 'label': '1536.408640176.12.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.be1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.be1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617874
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.k1', '16.l1', '16.m1', '32.b1', '32.g1'], 'contains': ['128.c1', '192.gf1', '256.c1'], 'core': '384.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 83903140502304, 359890668370854], 'label': '1536.408640176.64.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '64.f1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617875
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '32.c1', '32.l1'], 'contains': ['128.f1', '192.gu1', '256.b1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [735925060135, 486919748214, 83903140502304, 723416299248], 'label': '1536.408640176.64.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.f1', 'old_label': '64.g1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617876
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '24.12', 'aut_weyl_index': 512, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '32.d1'], 'contains': ['128.f2', '192.gw1', '256.b1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [735925060135, 795377379173040, 1821864384688488, 83903140502304], 'label': '1536.408640176.64.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1', 'old_label': '64.h1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 62617879
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.cc1', '48.cd1', '48.ce1', '48.cf1', '48.cg1'], 'contains': ['192.a1', '192.b1', '192.c1', '192.bx1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 1], 'label': '1536.408640176.96.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': ['24.a1', '24.b1', '24.c1'], 'normal_contains': ['192.a1', '192.b1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '768.1090134', 'quotient_action_image': '24.12', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617880
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '96.195', 'aut_weyl_index': 128, 'centralizer': '48.b1', 'complements': ['16.f1'], 'conjugacy_class_count': 1, 'contained_in': ['32.h1', '48.b1', '48.f1', '48.hz1', '48.ki1', '48.md1', '48.me1'], 'contains': ['192.fg1', '192.gd1'], 'core': '96.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131894, 359890668370854], 'label': '1536.408640176.96.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': ['24.d1', '48.b1', '48.f1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': '1536.408640176', 'quotient_action_image': '48.48', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 62617881
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 256, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.i1', '48.a1', '48.d1', '48.la1', '48.lk1', '48.ly1', '48.mk1'], 'contains': ['192.fl1', '192.ge1'], 'core': '96.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832454, 359890668370854], 'label': '1536.408640176.96.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': ['24.d1', '48.a1', '48.d1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': '1536.408640176', 'quotient_action_image': '24.12', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 62617882
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '96.195', 'aut_weyl_index': 128, 'centralizer': '48.c1', 'complements': ['16.f1'], 'conjugacy_class_count': 1, 'contained_in': ['32.j1', '48.c1', '48.e1', '48.is1', '48.js1', '48.lx1', '48.mp1'], 'contains': ['192.gi1'], 'core': '96.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 3867638933942910, 4087853328153270], 'label': '1536.408640176.96.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1', 'normal_contained_in': ['24.d1', '48.c1', '48.e1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '96.d1', 'projective_image': '1536.408640176', 'quotient_action_image': '48.48', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 62617883
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1', '48.m1', '48.cc1'], 'contains': ['192.c1', '192.d1', '192.g1', '192.p1', '192.q1', '192.bf1', '192.ch1', '192.ci1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1], 'label': '1536.408640176.96.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '96.e1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617884
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.bf1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.c1', '6.h1', '6.k1'], 'contains': ['24.cd1', '24.ce1', '24.cg1', '24.hl1', '24.hm1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 1179756178121070, 85634286366367, 359890668370854, 1, 4087853328153270], 'label': '1536.408640176.12.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bf1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bf1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617885
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '48.i1', '48.j1', '48.k1', '48.l1', '48.m1', '48.cc1'], 'contains': ['192.c1', '192.e1', '192.g2', '192.p1', '192.bg1', '192.cj1', '192.ck1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 486919748214, 359890668370854, 1], 'label': '1536.408640176.96.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.f1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617886
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1', '48.n1', '48.o1', '48.o2', '48.p1', '48.cc1'], 'contains': ['192.c1', '192.f1', '192.g2', '192.q1', '192.bh1', '192.cl1', '192.cm1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 359890668370854, 1], 'label': '1536.408640176.96.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.g1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617887
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '48.n1', '48.q1', '48.r1', '48.cd1'], 'contains': ['192.c1', '192.h1', '192.k1', '192.cn1', '192.cq1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1], 'label': '1536.408640176.96.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.h1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617888
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '48.n1', '48.s1', '48.t1', '48.ce1'], 'contains': ['192.c1', '192.i1', '192.l1', '192.co1', '192.cp1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 4466674913186214, 795533260052208, 1], 'label': '1536.408640176.96.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.i1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617889
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.i1', '48.o1', '48.q1', '48.r1', '48.s1', '48.t1', '48.cf1'], 'contains': ['192.c1', '192.j1', '192.m1', '192.cr1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821696294037009, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.96.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.j1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617890
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.k1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1', '48.o2', '48.r1', '48.t1', '48.cf1'], 'contains': ['192.c1', '192.j1', '192.r1', '192.bi1', '192.cs1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.96.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.k1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.k1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617891
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.k1', '48.o2', '48.q1', '48.s1', '48.cf1'], 'contains': ['192.c1', '192.m1', '192.ct1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 795533260052208, 1, 1779365212353054], 'label': '1536.408640176.96.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.l1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617892
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ch1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.u1', '48.bh1', '48.ch1'], 'contains': ['192.d1', '192.h2', '192.i2', '192.t1', '192.w1', '192.bj1', '192.cu1', '192.cv1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1179562545343134, 795533260052208, 1], 'label': '1536.408640176.96.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.m1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617893
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.co1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.u1', '48.bh1', '48.co1'], 'contains': ['192.d1', '192.n1', '192.o1', '192.cw1', '192.cx1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1179756178121070, 795533260052208, 1], 'label': '1536.408640176.96.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.n1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617894
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1', '48.u1', '48.cp1'], 'contains': ['192.d1', '192.f1', '192.g1', '192.s1', '192.x1', '192.bk1', '192.cy1', '192.cz1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795527018642215, 486919748214, 1822337812123926, 1], 'label': '1536.408640176.96.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '96.o1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617895
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '768.a1', 'complements': ['384.bz1', '384.i1', '384.q1', '384.bn1', '384.bs1', '384.cd1', '384.cb1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.a1', '12.b1', '16.g1', '16.h1', '16.i1', '16.j1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1179562545343134, 1558054135131894, 1821708766832454, 83903140502304, 359890668370854], 'label': '1536.408640176.4.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.a1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '1536.408640176', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '768.1090134'}
  • id: 62617896
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.bg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1', '6.i1', '6.k1'], 'contains': ['24.ca1', '24.cd1', '24.ch1', '24.ct1', '24.cv1', '24.gk1', '24.gm1', '24.ha1', '24.hp1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 1822051397507040, 359890668370854, 1], 'label': '1536.408640176.12.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bg1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bg1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617897
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1', '48.m1', '48.v1', '48.w1', '48.cp1'], 'contains': ['192.d1', '192.g2', '192.s1', '192.v1', '192.x1', '192.bl1', '192.bl2', '192.da1', '192.db1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 359890668370854, 1], 'label': '1536.408640176.96.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.p1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617898
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '24.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '48.x1', '48.y1', '48.z1', '48.ba1', '48.bb1', '48.ch1'], 'contains': ['192.e1', '192.h1', '192.i1', '192.t1', '192.bm1', '192.dc1', '192.de1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 1], 'label': '1536.408640176.96.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.q1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.q1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617899
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.r1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ci1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bb1', '48.bh1', '48.ci1'], 'contains': ['192.e1', '192.h2', '192.o1', '192.dd1', '192.dh1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 281175158881, 359890668370854, 1], 'label': '1536.408640176.96.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '96.r1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.r1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617900
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.s1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.cm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bc1', '48.bh1', '48.cj1'], 'contains': ['192.e1', '192.i2', '192.n1', '192.df1', '192.dg1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1, 1179581701804201], 'label': '1536.408640176.96.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '96.s1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.s1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617901
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.i1', '48.j1', '48.x1', '48.y1', '48.bd1', '48.be1', '48.ck1'], 'contains': ['192.e1', '192.j1', '192.u1', '192.bn1', '192.di1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795533260052208, 442804380649, 85621839531960, 1], 'label': '1536.408640176.96.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.t1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617902
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.u1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '24.bo1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '48.bc1', '48.bd1', '48.be1', '48.bf1', '48.bg1', '48.cl1'], 'contains': ['192.e1', '192.k1', '192.l1', '192.dj1', '192.dk1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 442804380649, 1], 'label': '1536.408640176.96.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.u1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.u1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617903
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.v1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '24.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.i1', '48.k1', '48.x1', '48.z1', '48.bd1', '48.bf1', '48.ck1'], 'contains': ['192.e1', '192.m1', '192.dl1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795533260052208, 442804380649, 1, 1779365212353054], 'label': '1536.408640176.96.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.v1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.v1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617904
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.w1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.m1', '48.bh1', '48.cp1'], 'contains': ['192.d1', '192.e1', '192.g1', '192.s1', '192.v1', '192.bo1', '192.dm1', '192.dn1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123926, 1], 'label': '1536.408640176.96.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '96.w1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.w1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617905
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.x1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '24.bh1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.n1', '48.bi1', '48.bi2', '48.bj1', '48.bk1', '48.ch1'], 'contains': ['192.f1', '192.h1', '192.i1', '192.w1', '192.bp1', '192.do1', '192.dq1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [795527018642215, 1822337812123926, 1179562545343134, 1], 'label': '1536.408640176.96.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.x1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.x1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617906
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.y1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ci1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.u1', '48.bk1', '48.ci1'], 'contains': ['192.f1', '192.h2', '192.o1', '192.dp1', '192.dt1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179562545343134, 1822057638927127, 359890668370854, 1], 'label': '1536.408640176.96.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '96.y1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617907
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.bh1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.e1', '6.i1', '6.k1'], 'contains': ['24.ce1', '24.cf1', '24.ch1', '24.hb1', '24.hq1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131894, 1822051397507040, 85634286366367, 359890668370854, 1], 'label': '1536.408640176.12.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bh1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bh1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62617908
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.z1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.cm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.u1', '48.bl1', '48.cj1'], 'contains': ['192.f1', '192.i2', '192.n1', '192.dr1', '192.ds1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1, 4088271101448655], 'label': '1536.408640176.96.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '96.z1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617909
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ba1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.o1', '48.o2', '48.bi1', '48.bi2', '48.bm1', '48.bm2', '48.ck1'], 'contains': ['192.f1', '192.j1', '192.m1', '192.du1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821901758068215, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.96.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.ba1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ba1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617910
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.bb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '24.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.n1', '48.bl1', '48.bm1', '48.bm2', '48.bn1', '48.cl1'], 'contains': ['192.f1', '192.k1', '192.l1', '192.dv1', '192.dw1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 4466674913186214, 795533260052208, 1], 'label': '1536.408640176.96.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.bb1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617911
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.bc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '48.n1', '48.bo1', '48.bp1', '48.cq1'], 'contains': ['192.g2', '192.h1', '192.l1', '192.dx1', '192.eb1', '192.ei1', '192.ez1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 359890668370854, 1, 3867165506497374], 'label': '1536.408640176.96.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.bc1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bc1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617912
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.bd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.u1', '48.bh1', '48.cr1'], 'contains': ['192.g1', '192.h2', '192.n1', '192.dy1', '192.ec1', '192.ej1', '192.fa1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1179562545343134, 795533260052208, 1], 'label': '1536.408640176.96.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.bd1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bd1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617913
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '48.n1', '48.bq1', '48.br1', '48.cs1'], 'contains': ['192.g2', '192.i1', '192.k1', '192.dz1', '192.eq1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 3867807024594391, 359890668370854, 1], 'label': '1536.408640176.96.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.be1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617914
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bf1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.u1', '48.bh1', '48.ct1'], 'contains': ['192.g1', '192.i2', '192.o1', '192.ea1', '192.er1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 795533260052208, 1, 4088271101448655], 'label': '1536.408640176.96.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.bf1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bf1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617915
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.i1', '48.o2', '48.bo1', '48.bp1', '48.bq1', '48.br1', '48.cu1'], 'contains': ['192.g2', '192.j1', '192.m1', '192.ed1', '192.fh1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 1822051397507040, 1], 'label': '1536.408640176.96.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.bg1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617916
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bh1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.j1', '48.o1', '48.v1', '48.bp1', '48.br1', '48.bs1', '48.cu1'], 'contains': ['192.g2', '192.j1', '192.y1', '192.bq1', '192.ee1', '192.fi1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 293647592166, 1], 'label': '1536.408640176.96.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.bh1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617917
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.k1', '48.o1', '48.w1', '48.bo1', '48.bq1', '48.bt1', '48.cu1'], 'contains': ['192.g2', '192.m1', '192.ef1', '192.fj1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1779421385188801, 795533260052208, 293647592166, 1], 'label': '1536.408640176.96.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.bi1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617918
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.bi1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7540510', 'aut_weyl_index': 24, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.j1'], 'contains': ['24.bx1', '24.by1', '24.bz1', '24.cb1', '24.cj1', '24.cl1', '24.co1', '24.cp1', '24.cq1', '24.gn1', '24.go1', '24.gt1', '24.gu1', '24.gy1', '24.hg1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1179562545343134, 1821708766832454, 359890668370854, 1, 1558328574027631], 'label': '1536.408640176.12.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bi1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bi1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617919
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bj1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.l1', '48.p1', '48.v1', '48.w1', '48.bs1', '48.bt1', '48.cz1'], 'contains': ['192.g2', '192.z1', '192.br1', '192.fk1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 85634286366367, 293647592166, 1], 'label': '1536.408640176.96.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.bj1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bj1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617920
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.bk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.g1', '48.m1', '48.bs1', '48.bt1'], 'contains': ['192.g1', '192.g2', '192.ba1', '192.ba2', '192.bs1', '192.bs2', '192.eg1', '192.eg2', '192.fl1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832454, 1], 'label': '1536.408640176.96.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.bk1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bk1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617921
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bl1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bb1', '48.bk1', '48.da1'], 'contains': ['192.h2', '192.i1', '192.o1', '192.eh1', '192.ep1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 1558496612582695, 359890668370854, 1], 'label': '1536.408640176.96.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bl1', 'old_label': '96.bl1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bl1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617922
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bm1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.x1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.q1', '48.r1', '48.x1', '48.bi2', '48.bo1', '48.bp1', '48.db1'], 'contains': ['192.h1', '192.j1', '192.m1', '192.ek1', '192.fb1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 1558054135131894, 795533260052208, 1], 'label': '1536.408640176.96.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.bm1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bm1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617923
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.r1', '48.y1', '48.bi1', '48.bp1', '48.bu1', '48.bw1', '48.db1'], 'contains': ['192.h1', '192.j1', '192.bb1', '192.bt1', '192.el1', '192.fc1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 4466613129942960, 1], 'label': '1536.408640176.96.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.bn1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bn1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617924
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bo1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.z1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.q1', '48.z1', '48.bi1', '48.bo1', '48.bv1', '48.bx1', '48.db1'], 'contains': ['192.h1', '192.m1', '192.em1', '192.fd1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1779421385188801, 795533260052208, 4466613129942960, 1], 'label': '1536.408640176.96.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.bo1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bo1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617925
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.df1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bb1', '48.bk1', '48.bu1', '48.bv1', '48.df1'], 'contains': ['192.h1', '192.o1', '192.en1', '192.fe1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 4466581508513575, 1], 'label': '1536.408640176.96.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.bp1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bp1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617926
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bq1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.bj1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ba1', '48.bj1', '48.bu1', '48.bv1', '48.bw1', '48.bx1', '48.dg1'], 'contains': ['192.h1', '192.bc1', '192.bu1', '192.ff1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 4466613129942960, 1, 1286031869723215], 'label': '1536.408640176.96.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.bq1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bq1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617927
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.br1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '48.bb1', '48.bk1', '48.bw1', '48.bx1'], 'contains': ['192.h1', '192.h2', '192.bd1', '192.bv1', '192.eo1', '192.eo2', '192.fg1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131894, 1], 'label': '1536.408640176.96.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.br1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.br1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617928
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.bs1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.x1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.s1', '48.t1', '48.x1', '48.bi1', '48.bq1', '48.br1', '48.dh1'], 'contains': ['192.i1', '192.j1', '192.m1', '192.es1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 85621839531960, 4466787406313791, 1], 'label': '1536.408640176.96.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.bs1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bs1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617929
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.bj1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.f1', '6.j1', '6.k1'], 'contains': ['24.ca1', '24.ce1', '24.cm1', '24.cp1', '24.cr1', '24.gp1', '24.gv1', '24.gz1', '24.hn1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 86082708280015, 1558054135131894, 1821708766832454, 359890668370854, 1], 'label': '1536.408640176.12.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bj1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bj1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617930
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.bt1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.t1', '48.y1', '48.bi2', '48.br1', '48.dh1'], 'contains': ['192.i1', '192.j1', '192.be1', '192.bw1', '192.et1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795533260052208, 85621839531960, 1558403286670945, 1], 'label': '1536.408640176.96.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.bt1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bt1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617931
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.bu1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.di1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bc1', '48.bl1', '48.di1'], 'contains': ['192.i2', '192.k1', '192.n1', '192.eu1', '192.ev1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1, 1558328574027631], 'label': '1536.408640176.96.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bn1', 'old_label': '96.bu1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bu1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617932
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.bv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.z1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.s1', '48.z1', '48.bi2', '48.bq1', '48.dh1'], 'contains': ['192.i1', '192.m1', '192.ew1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [795533260052208, 1558403286670945, 1, 1779365212353054], 'label': '1536.408640176.96.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.bv1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bv1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617934
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.bx1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.bd1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.q1', '48.r1', '48.bd1', '48.bm1', '48.bq1', '48.br1', '48.dl1'], 'contains': ['192.j1', '192.k1', '192.m1', '192.fm1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 85621839531960, 1, 1558328574027631], 'label': '1536.408640176.96.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.bx1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bx1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617935
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.by1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.bd1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.s1', '48.t1', '48.bd1', '48.bm2', '48.bo1', '48.bp1', '48.dm1'], 'contains': ['192.j1', '192.l1', '192.m1', '192.fn1', '192.fo1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 4466674913186214, 795533260052208, 1], 'label': '1536.408640176.96.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.by1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.by1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617936
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.bz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.r1', '48.be1', '48.bm2', '48.br1', '48.dl1'], 'contains': ['192.j1', '192.k1', '192.fp1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [4466413418965225, 795533260052208, 85621839531960, 1], 'label': '1536.408640176.96.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.bz1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bz1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617937
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ca1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.be1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.t1', '48.be1', '48.bm1', '48.bp1', '48.by1', '48.ca1', '48.dm1'], 'contains': ['192.j1', '192.l1', '192.fq1', '192.fr1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1558502850424320, 86082708280015, 795533260052208, 1], 'label': '1536.408640176.96.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.ca1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ca1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617938
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.cb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.q1', '48.bf1', '48.bm2', '48.bq1', '48.dl1'], 'contains': ['192.k1', '192.m1', '192.fs1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [4466413418965225, 795533260052208, 1, 1779365212353054], 'label': '1536.408640176.96.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.cb1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617939
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.cc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.bf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.s1', '48.bf1', '48.bm1', '48.bo1', '48.bz1', '48.cb1', '48.dm1'], 'contains': ['192.l1', '192.m1', '192.ft1', '192.fv1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1779421385188801, 1558502850424320, 795533260052208, 1], 'label': '1536.408640176.96.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.cc1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cc1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617940
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.bk1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 48, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.g1', '6.j1', '6.k1'], 'contains': ['24.cd1', '24.cf1', '24.cp1', '24.gw1', '24.ho1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1558054135131894, 1821708766832454, 359890668370854, 1, 1286031869723215], 'label': '1536.408640176.12.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bk1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bk1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62617941
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.cd1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bc1', '48.bl1', '48.ca1', '48.cb1', '48.dp1'], 'contains': ['192.l1', '192.n1', '192.fu1', '192.fw1', '192.fx1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1, 4087853328153270, 1558428202046910], 'label': '1536.408640176.96.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.cd1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cd1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617942
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ce1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.bn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bg1', '48.bn1', '48.by1', '48.bz1', '48.ca1', '48.cb1', '48.dr1'], 'contains': ['192.l1', '192.fy1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 3982176232894495, 1], 'label': '1536.408640176.96.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.ce1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ce1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617943
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '96.cf1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cc1', '48.ch1', '48.ci1', '48.cj1', '48.ck1', '48.cl1', '48.cm1', '48.cn1', '48.co1', '48.cp1'], 'contains': ['192.a1', '192.d1', '192.e1', '192.f1', '192.by1', '192.by2', '192.fz1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 359890668370854, 1], 'label': '1536.408640176.96.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cf1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cf1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617944
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '96.cg1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.cc1', '48.cp1', '48.cq1', '48.cr1', '48.cs1', '48.ct1', '48.cu1', '48.cv1', '48.cw1', '48.cx1', '48.cy1', '48.cz1'], 'contains': ['192.a1', '192.g1', '192.g2', '192.bz1', '192.bz2', '192.ga1', '192.ge1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 359890668370854, 1], 'label': '1536.408640176.96.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cg1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cg1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617945
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '96.ch1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '48.cd1', '48.ch1', '48.ci1', '48.cq1', '48.cr1', '48.da1', '48.db1', '48.dc1', '48.dd1', '48.de1', '48.df1', '48.dg1'], 'contains': ['192.a1', '192.h1', '192.h2', '192.ca1', '192.ca2', '192.gb1', '192.gd1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370854, 1], 'label': '1536.408640176.96.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ch1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ch1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617946
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.ci1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '24.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.ce1', '48.ch1', '48.cj1', '48.cs1', '48.ct1', '48.da1', '48.dh1', '48.di1', '48.dj1', '48.dk1'], 'contains': ['192.a1', '192.i1', '192.i2', '192.cb1', '192.cb2', '192.gc1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 1, 4088271101448655], 'label': '1536.408640176.96.ci1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ci1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ci1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617947
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.cj1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '48.cf1', '48.ck1', '48.cu1', '48.db1', '48.dh1', '48.dl1', '48.dm1'], 'contains': ['192.a1', '192.j1', '192.m1', '192.cc1', '192.gf1'], 'core': '192.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 359890668370854, 1], 'label': '1536.408640176.96.cj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.cj1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cj1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617948
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.ck1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '24.bn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cd1', '48.cl1', '48.cm1', '48.cs1', '48.cv1', '48.dc1', '48.di1', '48.dl1', '48.dn1', '48.do1'], 'contains': ['192.a1', '192.k1', '192.cd1', '192.gg1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 359890668370854, 1], 'label': '1536.408640176.96.ck1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ck1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ck1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617949
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '96.cl1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '48.ce1', '48.cl1', '48.cn1', '48.cq1', '48.cw1', '48.dd1', '48.dk1', '48.dm1', '48.dn1', '48.dp1', '48.dq1', '48.dr1'], 'contains': ['192.a1', '192.l1', '192.ce1', '192.gh1', '192.gi1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 359890668370854, 1], 'label': '1536.408640176.96.cl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cl1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cl1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62617950
    {'ambient': '1536.408640176', 'aut_centralizer_order': 512, 'aut_label': '96.cm1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cg1', '48.cj1', '48.cm1', '48.co1', '48.cr1', '48.cw1', '48.cx1', '48.dd1', '48.de1', '48.di1', '48.dj1', '48.do1', '48.dp1', '48.ds1', '48.dt1'], 'contains': ['192.a1', '192.n1', '192.cf1', '192.gj1', '192.gk1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 1], 'label': '1536.408640176.96.cm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cm1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cm1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617951
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.bl1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.6344809', 'aut_weyl_index': 24, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1'], 'contains': ['24.ci1', '24.ck1', '24.cn1', '24.cq1', '24.cr1', '24.gs1', '24.hd1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1821708766832454, 85621839531960, 359890668370854, 1, 1558328574027631], 'label': '1536.408640176.12.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '12.bl1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bl1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62617952
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.cn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '24.bk1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cg1', '48.ci1', '48.cn1', '48.co1', '48.ct1', '48.cv1', '48.cy1', '48.da1', '48.df1', '48.dj1', '48.dn1', '48.do1', '48.dq1', '48.ds1'], 'contains': ['192.a1', '192.o1', '192.cg1', '192.gl1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 1179681327544015, 1], 'label': '1536.408640176.96.cn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cn1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cn1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617953
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.co1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.g1', '48.m1', '48.du1'], 'contains': ['192.p1', '192.q1', '192.s1', '192.x1', '192.ba1', '192.gm1', '192.gm2', '192.gn1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1821696294037009, 1821708766832454, 360345418241760, 1], 'label': '1536.408640176.96.co1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.co1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.co1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617954
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.cp1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.j1', '48.du1', '48.dv1'], 'contains': ['192.p1', '192.r1', '192.u1', '192.y1', '192.go1', '192.gp1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 85621839531960, 1, 795776023551774], 'label': '1536.408640176.96.cp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.cp1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cp1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617955
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.cq1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.l1', '48.du1', '48.dv1'], 'contains': ['192.p1', '192.z1', '192.gq1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 1, 381181143791214, 795776023551774], 'label': '1536.408640176.96.cq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.cq1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cq1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617956
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1', '48.m1'], 'contains': ['192.p1', '192.q1', '192.s1', '192.v1', '192.ba2', '192.gr1', '192.gr2', '192.gs1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 1821708766832454, 1], 'label': '1536.408640176.96.cr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '96.cr1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617957
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1024, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '48.m1', '48.dv1'], 'contains': ['192.p1', '192.v1', '192.ba1', '192.gt1', '192.gu1'], 'core': '768.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [735925060135, 1821708766832454, 360345418241760, 1], 'label': '1536.408640176.96.cs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '96.cs1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 62617958
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ct1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 1024, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '48.g1'], 'contains': ['192.q1', '192.x1', '192.ba2', '192.gv1', '192.gw1'], 'core': '768.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [486919748214, 1821708766832454, 1, 795340005803407], 'label': '1536.408640176.96.ct1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '96.ct1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ct1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 62617959
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.cu1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.y1'], 'contains': ['192.t1', '192.u1', '192.bb1', '192.be1', '192.gx1', '192.gy1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795184387931521, 1558054135131894, 85621839531960, 1], 'label': '1536.408640176.96.cu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.y1', 'old_label': '96.cu1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cu1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617960
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.cv1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.v1', '48.dv1'], 'contains': ['192.v1', '192.y1', '192.z1', '192.gz1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [281175158881, 85621839531960, 1, 293647592166], 'label': '1536.408640176.96.cv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.cv1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cv1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617961
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.cw1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.bj1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bj1'], 'contains': ['192.w1', '192.bc1', '192.ha1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 1558054135131894, 1285751207061720, 1], 'label': '1536.408640176.96.cw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.bj1', 'old_label': '96.cw1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617962
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1'], 'contains': ['24.de1', '24.dh1', '24.di1', '24.et1', '24.ev1', '24.fe1', '24.fg1', '24.gh1', '24.gi1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1822051397507041, 1179756178121070, 85621839531960, 359890668370854, 4913329002108150], 'label': '1536.408640176.12.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.bm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bm1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617963
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.cx1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.v1', '48.du1'], 'contains': ['192.x1', '192.y1', '192.z1', '192.hb1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [85621839531960, 1822057638927127, 1, 795776023551774], 'label': '1536.408640176.96.cx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.cx1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cx1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617964
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.cy1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.e1', '48.bs1', '48.du1', '48.dv1'], 'contains': ['192.y1', '192.z1', '192.ba1', '192.hc1', '192.hf1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [486919748214, 86082708280015, 723416299248, 1], 'label': '1536.408640176.96.cy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.cy1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cy1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617965
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.cz1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.f1', '48.bw1'], 'contains': ['192.bb1', '192.bc1', '192.bd1', '192.hd1', '192.he1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1179562545343134, 86082708280015, 2587635382200510, 1], 'label': '1536.408640176.96.cz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.bw1', 'old_label': '96.cz1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cz1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617966
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.g1', '48.ea1'], 'contains': ['192.bf1', '192.bh1', '192.bk1', '192.bl1', '192.bs1', '192.gm1', '192.gm2', '192.gr1', '192.gs1', '192.gv1', '192.gw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 1821708766832454, 1822337812123927, 360096412929841], 'label': '1536.408640176.96.da1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '96.da1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617967
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.da2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.g1', '48.ea1'], 'contains': ['192.bf1', '192.bh1', '192.bk1', '192.bl2', '192.bs2', '192.gm1', '192.gn1', '192.gr2', '192.gv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821708766832454, 360345418241760, 1822337812123927, 360096412929841], 'label': '1536.408640176.96.da2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '96.da2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617968
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.db1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.j1', '48.dw1'], 'contains': ['192.bg1', '192.bi1', '192.bn1', '192.bq1', '192.go1', '192.gp1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [85621839531960, 795776023551774, 795340005803407, 795533260052209], 'label': '1536.408640176.96.db1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.db1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.db1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617969
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.dc1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.l1', '48.dw1'], 'contains': ['192.bg1', '192.br1', '192.gq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [381181143791214, 795776023551774, 795340005803407, 795533260052209], 'label': '1536.408640176.96.dc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.dc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617970
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.dd1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.m1', '48.dw1', '48.ea1'], 'contains': ['192.bf1', '192.bg1', '192.bl1', '192.bo1', '192.bs2', '192.gm2', '192.gn1', '192.gr1', '192.gr2', '192.gt1', '192.gu1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 1821708766832454, 360345418241760, 1822337812123927], 'label': '1536.408640176.96.dd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.dd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dd1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617971
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.dd2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.m1', '48.ea1'], 'contains': ['192.bf1', '192.bg1', '192.bl2', '192.bo1', '192.bs1', '192.gm1', '192.gr2', '192.gs1', '192.gt1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 486919748214, 1821708766832454, 1822337812123927], 'label': '1536.408640176.96.dd2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '96.dd2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dd2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617972
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.v1', '48.dw1'], 'contains': ['192.bl1', '192.bq1', '192.br1', '192.gz1', '192.hb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [795813433249009, 85621839531960, 293647592166, 795533260052209], 'label': '1536.408640176.96.de1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.de1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617973
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1'], 'contains': ['24.de1', '24.dh1', '24.dj1', '24.eu1', '24.ew1', '24.ff1', '24.fh1', '24.gh1', '24.gj1'], 'core': '48.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [85621839531960, 359890668370854, 3867638933942910, 1822051397507041, 1821901758068215, 4087853328153270, 1822337812123926], 'label': '1536.408640176.12.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.bn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bn1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617974
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.y1'], 'contains': ['192.bm1', '192.bn1', '192.bt1', '192.bw1', '192.gx1', '192.gy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1558054135131894, 442804380649, 85621839531960, 795533260052209], 'label': '1536.408640176.96.df1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.y1', 'old_label': '96.df1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617975
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.bj1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bj1'], 'contains': ['192.bp1', '192.bu1', '192.ha1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1558054135131894, 1285751207061720, 360332909490967, 795533260052209], 'label': '1536.408640176.96.dg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.bj1', 'old_label': '96.dg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617976
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bs1', '48.dw1'], 'contains': ['192.bq1', '192.br1', '192.bs2', '192.hc1', '192.hf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [486919748214, 86082708280015, 723416299248, 795533260052209], 'label': '1536.408640176.96.dh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1', 'old_label': '96.dh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617977
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.di1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bw1'], 'contains': ['192.bt1', '192.bu1', '192.bv1', '192.hd1', '192.he1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1179562545343134, 86082708280015, 2587635382200510, 795533260052209], 'label': '1536.408640176.96.di1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.bw1', 'old_label': '96.di1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.di1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617978
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cc1', '48.dx1', '48.dy1', '48.dy2', '48.dz1', '48.ea1'], 'contains': ['192.bf1', '192.bx1', '192.by1', '192.bz1', '192.cj1', '192.ck1', '192.cl1', '192.cm1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123927, 359890668370854], 'label': '1536.408640176.96.dj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.dj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617979
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.dj2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cc1', '48.ea1'], 'contains': ['192.bf1', '192.bg1', '192.bh1', '192.bx1', '192.by2', '192.bz2', '192.ch1', '192.ci1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 359890668370855], 'label': '1536.408640176.96.dj2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '96.dj2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62617980
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.dk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cd1', '48.dx1', '48.eb1'], 'contains': ['192.bx1', '192.ca1', '192.cd1', '192.cn1', '192.cq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 359890668370855], 'label': '1536.408640176.96.dk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.dk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dk1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617981
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.ce1', '48.dx1', '48.ec1'], 'contains': ['192.bx1', '192.cb1', '192.ce1', '192.co1', '192.cp1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 4466674913186214, 795533260052208, 1822337812123927], 'label': '1536.408640176.96.dl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.dl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617982
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.dm1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.cf1', '48.dy1', '48.dy2', '48.eb1', '48.ec1'], 'contains': ['192.bx1', '192.cc1', '192.cr1', '192.cs1', '192.ct1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 795533260052208, 1822337812123927, 85621839531960], 'label': '1536.408640176.96.dm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.dm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dm1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617983
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.dn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ch1', '48.dx1', '48.ed1', '48.ed2', '48.ee1', '48.ef1'], 'contains': ['192.bj1', '192.by1', '192.ca1', '192.cb1', '192.dc1', '192.de1', '192.do1', '192.dq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 359890668370855], 'label': '1536.408640176.96.dn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.dn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dn1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617984
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bo1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1'], 'contains': ['24.dk1', '24.dm1', '24.do1', '24.es1', '24.ex1', '24.fa1', '24.fb1', '24.gk1', '24.gl1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1822051397507041, 1558054135131894, 4088034024283854, 85621839531960, 359890668370854], 'label': '1536.408640176.12.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '12.bo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bo1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617985
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.dn2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ch1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.ch1', '48.ej1'], 'contains': ['192.bj1', '192.bm1', '192.bp1', '192.by2', '192.ca2', '192.cb2', '192.cu1', '192.cv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1179562545343134, 795533260052208, 1822337812123927], 'label': '1536.408640176.96.dn2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.dn2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dn2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617986
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.do1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ci1', '48.ef1', '48.ej1'], 'contains': ['192.by1', '192.ca2', '192.cg1', '192.dd1', '192.dh1', '192.dp1', '192.dt1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 281175158881, 1822337812123927, 359890668370854], 'label': '1536.408640176.96.do1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.y1', 'old_label': '96.do1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.do1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617987
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.dp1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '48.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cj1', '48.eg1', '48.ej1'], 'contains': ['192.by1', '192.cb2', '192.cf1', '192.df1', '192.dg1', '192.dr1', '192.ds1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1822337812123927, 4088271101448655], 'label': '1536.408640176.96.dp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.u1', 'old_label': '96.dp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dp1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617988
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.dq1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.ck1', '48.dy1', '48.dy2', '48.ed1', '48.ed2', '48.eh1', '48.eh2'], 'contains': ['192.by1', '192.cc1', '192.di1', '192.dl1', '192.du1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 795533260052208, 1822337812123927, 85621839531960], 'label': '1536.408640176.96.dq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.dq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dq1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617989
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.dr1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.cl1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cl1', '48.dx1', '48.eg1', '48.eh1', '48.eh2', '48.ei1'], 'contains': ['192.by1', '192.cd1', '192.ce1', '192.dj1', '192.dk1', '192.dv1', '192.dw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 4466674913186214, 795533260052208, 1822337812123927], 'label': '1536.408640176.96.dr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.dr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dr1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617991
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.dt1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cp1', '48.ea1', '48.ej1'], 'contains': ['192.bk1', '192.bl1', '192.bl2', '192.bo1', '192.by1', '192.by2', '192.bz2', '192.cy1', '192.cz1', '192.dm1', '192.dn1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123926, 359890668370855], 'label': '1536.408640176.96.dt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1', 'old_label': '96.dt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dt1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617992
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.dt2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cp1', '48.ea1', '48.ek1'], 'contains': ['192.bk1', '192.bo1', '192.by2', '192.bz1', '192.da1', '192.db1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1822337812123927, 359890668370854], 'label': '1536.408640176.96.dt2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.dt2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dt2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62617993
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.du1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cq1', '48.dx1', '48.el1'], 'contains': ['192.bz1', '192.ca1', '192.ce1', '192.dx1', '192.eb1', '192.ei1', '192.ez1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123927, 359890668370854, 3867165506497374], 'label': '1536.408640176.96.du1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.du1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.du1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617994
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.dv1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cr1', '48.ej1'], 'contains': ['192.bz2', '192.ca2', '192.cf1', '192.dy1', '192.ec1', '192.ej1', '192.fa1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1179562545343134, 795533260052208, 1822337812123927], 'label': '1536.408640176.96.dv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.dv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dv1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617995
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1'], 'contains': ['24.dm1', '24.do1', '24.dq1', '24.ey1', '24.ez1', '24.fc1', '24.fd1', '24.gl1', '24.gm1'], 'core': '48.f1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1822051397507041, 1179562545343134, 1558054135131894, 85621839531960, 359890668370854], 'label': '1536.408640176.12.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '12.bp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bp1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62617996
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.dw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cs1', '48.dx1', '48.em1'], 'contains': ['192.bz1', '192.cb1', '192.cd1', '192.dz1', '192.eq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 3867807024594391, 1822337812123927, 359890668370854], 'label': '1536.408640176.96.dw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.dw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dw1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617997
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.dx1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.ct1', '48.ej1'], 'contains': ['192.bz2', '192.cb2', '192.cg1', '192.ea1', '192.er1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 795533260052208, 1822337812123927, 4088271101448655], 'label': '1536.408640176.96.dx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.dx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dx1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62617998
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.dy1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cu1', '48.dy1', '48.el1', '48.em1'], 'contains': ['192.bz1', '192.cc1', '192.ee1', '192.ef1', '192.fh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 1822051397507040, 1822337812123927], 'label': '1536.408640176.96.dy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.dy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dy1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62617999
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.dy2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.cu1', '48.dy2', '48.ek1', '48.el1', '48.em1', '48.en1'], 'contains': ['192.bz1', '192.cc1', '192.ed1', '192.fi1', '192.fj1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 1822337812123927, 293647592166], 'label': '1536.408640176.96.dy2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.dy2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dy2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618000
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.dz1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cz1', '48.dz1', '48.ek1', '48.en1'], 'contains': ['192.bz1', '192.fk1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 1822337812123927, 293647592166, 1779346498581049], 'label': '1536.408640176.96.dz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.dz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dz1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618001
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.ea1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.ea1', '48.en1'], 'contains': ['192.bs1', '192.bs2', '192.bz1', '192.bz2', '192.eg1', '192.eg2', '192.fl1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832454, 359890668370855], 'label': '1536.408640176.96.ea1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.ea1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ea1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62618002
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.eb1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.da1', '48.ef1'], 'contains': ['192.ca2', '192.cb1', '192.cg1', '192.eh1', '192.ep1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 1558496612582695, 1822337812123927, 359890668370854], 'label': '1536.408640176.96.eb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bl1', 'old_label': '96.eb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618003
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ec1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.db1', '48.eb1', '48.ed1', '48.el1'], 'contains': ['192.ca1', '192.cc1', '192.el1', '192.em1', '192.fb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 1558054135131894, 795533260052208, 1822337812123927], 'label': '1536.408640176.96.ec1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.ec1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ec1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618004
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ec2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.db1', '48.eb1', '48.ed2', '48.el1', '48.eo1', '48.ep1'], 'contains': ['192.ca1', '192.cc1', '192.ek1', '192.fc1', '192.fd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 1822337812123927, 4466613129942960], 'label': '1536.408640176.96.ec2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.ec2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ec2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618005
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ed1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.df1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.df1', '48.ef1', '48.eo1'], 'contains': ['192.ca1', '192.cg1', '192.en1', '192.fe1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 4466581508513575, 359890668370855], 'label': '1536.408640176.96.ed1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.ed1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ed1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618006
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '1536.408640541', 'aut_weyl_index': 8, 'centralizer': '768.a1', 'complements': ['384.cd1', '384.bs1', '384.bn1', '384.c1', '384.j1', '384.bj1', '384.bl1', '384.h1', '384.p1', '384.p2', '384.d1', '384.e1', '384.l1', '384.m1', '384.k1', '384.bq1', '384.bv1', '384.bt1', '384.bo1', '384.bx1', '384.cb1', '384.i1', '384.q1', '384.bz1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.c1'], 'contains': ['8.a1', '12.cr1', '16.k1', '16.l1', '16.m1'], 'core': '4.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 86082708280015, 1558054135131894, 1821708766832454, 83903140502304, 359890668370854], 'label': '1536.408640176.4.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.c1'], 'normal_contains': ['8.a1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '1536.408640176', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '768.1090134'}
  • id: 62618007
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bq1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.d1', '6.l1', '6.n1'], 'contains': ['24.dy1', '24.dz1', '24.ec1', '24.es1', '24.ey1', '24.fa1', '24.fc1', '24.ha1', '24.hh1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854, 1179562545343135], 'label': '1536.408640176.12.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bq1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62618008
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ee1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.x1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.dg1', '48.ee1', '48.eo1', '48.ep1'], 'contains': ['192.ca1', '192.ff1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 1822337812123927, 3982550299785001, 4466613129942960], 'label': '1536.408640176.96.ee1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.ee1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ee1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618009
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ef1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '48.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '48.ef1', '48.ep1'], 'contains': ['192.bv1', '192.ca1', '192.ca2', '192.eo1', '192.eo2', '192.fg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131894, 359890668370855], 'label': '1536.408640176.96.ef1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.ef1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ef1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618010
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.eg1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.dh1', '48.ec1', '48.ed1', '48.ed2', '48.em1'], 'contains': ['192.cb1', '192.cc1', '192.es1', '192.et1', '192.ew1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 1822337812123927, 85621839531960, 4466787406313791], 'label': '1536.408640176.96.eg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.eg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618011
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.eh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.di1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.di1', '48.eg1'], 'contains': ['192.cb2', '192.cd1', '192.cf1', '192.eu1', '192.ev1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 1822337812123927, 1558328574027631], 'label': '1536.408640176.96.eh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bn1', 'old_label': '96.eh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eh1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62618012
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ei1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dk1', '48.eg1', '48.eq1'], 'contains': ['192.cb2', '192.ce1', '192.ex1', '192.ey1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 1822337812123927, 4088271101448655], 'label': '1536.408640176.96.ei1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.ei1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ei1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618013
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ej1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.dl1', '48.eb1', '48.eh1', '48.eh2', '48.em1'], 'contains': ['192.cc1', '192.cd1', '192.fm1', '192.fp1', '192.fs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 1822337812123927, 85621839531960, 1558328574027631], 'label': '1536.408640176.96.ej1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.ej1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ej1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618014
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ek1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.dm1', '48.ec1', '48.eh1', '48.el1'], 'contains': ['192.cc1', '192.ce1', '192.fo1', '192.fq1', '192.ft1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [86082708280015, 4466674913186214, 795533260052208, 1822337812123927], 'label': '1536.408640176.96.ek1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.ek1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ek1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618015
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ek2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.dm1', '48.ec1', '48.eh2', '48.el1', '48.eq1', '48.er1'], 'contains': ['192.cc1', '192.ce1', '192.fn1', '192.fr1', '192.fv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1558502850424320, 86082708280015, 795533260052208, 1822337812123927], 'label': '1536.408640176.96.ek2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.ek2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ek2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618016
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.el1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dp1', '48.eg1', '48.er1'], 'contains': ['192.ce1', '192.cf1', '192.fu1', '192.fw1', '192.fx1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 359890668370855, 4087853328153270, 1558428202046910], 'label': '1536.408640176.96.el1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.el1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.el1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618017
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.em1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.bb1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.dr1', '48.ei1', '48.eq1', '48.er1'], 'contains': ['192.ce1', '192.fy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1286287089779161, 4466674913186214, 795533260052208, 1822337812123927], 'label': '1536.408640176.96.em1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.em1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.em1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618018
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.br1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1', '6.l1', '6.n1'], 'contains': ['24.dy1', '24.ed1', '24.ee1', '24.hb1', '24.hk1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1822051397507040, 359890668370854, 1179562545343135, 1779521014819080], 'label': '1536.408640176.12.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.br1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.br1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62618019
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.en1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.g1', '48.ea1', '48.es1', '48.go1'], 'contains': ['192.ch1', '192.cm1', '192.cy1', '192.db1', '192.eg1', '192.gm1', '192.gr1', '192.gv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1821708766832455, 1821696294037009, 359890668370854], 'label': '1536.408640176.96.en1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.en1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.en1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62618020
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.en2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.g1', '48.ea1', '48.go1'], 'contains': ['192.ch1', '192.ci1', '192.cl1', '192.cy1', '192.cz1', '192.da1', '192.eg2', '192.gm1', '192.gm2', '192.gr2', '192.gv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832455, 360096412929841], 'label': '1536.408640176.96.en2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '96.en2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.en2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62618021
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.eo1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.d1', '48.g1', '48.ea1', '48.et1'], 'contains': ['192.ci1', '192.cm1', '192.cz1', '192.db1', '192.fl1', '192.gn1', '192.gs1', '192.gw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1821708766832454, 360096412929841], 'label': '1536.408640176.96.eo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.eo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eo1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62618022
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ep1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.h1', '48.dx1', '48.eu1', '48.ev1', '48.fw1'], 'contains': ['192.cj1', '192.cn1', '192.cp1', '192.dc1', '192.dk1', '192.dx1', '192.dz1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822051397507041, 1821696294037009, 4466674913186214, 795533260052208], 'label': '1536.408640176.96.ep1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.ep1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ep1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618023
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.eq1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.h1', '48.dx1', '48.ew1', '48.ex1', '48.fy1'], 'contains': ['192.cj1', '192.co1', '192.cq1', '192.de1', '192.dj1', '192.dz1', '192.eb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1821708766832455], 'label': '1536.408640176.96.eq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.eq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eq1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618024
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.er1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.i1', '48.dy2', '48.eu1', '48.ev1', '48.ew1', '48.ex1', '48.gc1'], 'contains': ['192.cj1', '192.cr1', '192.di1', '192.dl1', '192.ed1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822051397507041, 795533260052208, 442804380649, 85621839531960], 'label': '1536.408640176.96.er1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.er1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.er1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618025
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.es1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.j1', '48.dy1', '48.ev1', '48.ex1', '48.gc1'], 'contains': ['192.cj1', '192.cs1', '192.di1', '192.ee1', '192.go1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 442804380649, 85621839531960, 293647592167], 'label': '1536.408640176.96.es1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.es1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.es1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618026
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.et1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.k1', '48.dy1', '48.eu1', '48.ew1', '48.gc1'], 'contains': ['192.cj1', '192.ct1', '192.dl1', '192.ef1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 442804380649, 293647592167, 1779365212353054], 'label': '1536.408640176.96.et1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.et1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.et1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618027
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.eu1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.h1', '48.dx1', '48.ey1', '48.ez1', '48.ge1'], 'contains': ['192.ck1', '192.cn1', '192.co1', '192.dc1', '192.dj1', '192.ei1', '192.eq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 3867165506497375, 359890668370854], 'label': '1536.408640176.96.eu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.eu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eu1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618028
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ev1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.h1', '48.dx1', '48.fa1', '48.fb1', '48.gg1'], 'contains': ['192.ck1', '192.cp1', '192.cq1', '192.de1', '192.dk1', '192.eq1', '192.ez1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 359890668370854, 3867165506497374], 'label': '1536.408640176.96.ev1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.ev1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ev1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618029
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bs1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.d1', '6.m1', '6.o1'], 'contains': ['24.dz1', '24.ec1', '24.ef1', '24.ex1', '24.ez1', '24.fb1', '24.fd1', '24.hh1', '24.hp1'], 'core': '48.f1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 1822051397507040, 359890668370854, 85621839531961], 'label': '1536.408640176.12.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bs1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62618030
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ew1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.i1', '48.dy1', '48.ey1', '48.ez1', '48.fa1', '48.fb1', '48.gk1'], 'contains': ['192.ck1', '192.cr1', '192.di1', '192.dl1', '192.fh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821696294037009, 795533260052208, 1822051397507040, 85621839531961], 'label': '1536.408640176.96.ew1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.ew1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ew1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618031
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ex1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.j1', '48.dy2', '48.ez1', '48.fb1', '48.fc1', '48.fe1', '48.gk1'], 'contains': ['192.ck1', '192.cs1', '192.di1', '192.fi1', '192.gp1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 795533260052208, 293647592166, 85621839531961], 'label': '1536.408640176.96.ex1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.ex1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ex1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618032
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ey1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.k1', '48.dy2', '48.ey1', '48.fa1', '48.fd1', '48.ff1', '48.gk1'], 'contains': ['192.ck1', '192.ct1', '192.dl1', '192.fj1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1779365212353055, 795533260052208, 293647592166], 'label': '1536.408640176.96.ey1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.ey1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ey1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618033
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ez1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.l1', '48.dz1', '48.fc1', '48.fd1', '48.fe1', '48.ff1', '48.gn1'], 'contains': ['192.ck1', '192.fk1', '192.gq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 795533260052208, 293647592166, 86101382114929], 'label': '1536.408640176.96.ez1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.ez1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ez1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618034
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.fa1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.m1', '48.ea1', '48.fc1', '48.fd1', '48.go1'], 'contains': ['192.ch1', '192.ck1', '192.db1', '192.dm1', '192.eg1', '192.gm2', '192.gr2', '192.gt1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 1821708766832455, 359890668370854], 'label': '1536.408640176.96.fa1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.fa1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fa1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62618035
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.fa2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 6144, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.m1', '48.ea1', '48.go1'], 'contains': ['192.ch1', '192.ci1', '192.cj1', '192.da1', '192.dm1', '192.dn1', '192.eg2', '192.gm1', '192.gr1', '192.gr2', '192.gt1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1821708766832455], 'label': '1536.408640176.96.fa2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.a1', 'old_label': '96.fa2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fa2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 62618036
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.fb1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.d1', '48.m1', '48.ea1', '48.fe1', '48.ff1'], 'contains': ['192.ci1', '192.ck1', '192.db1', '192.dn1', '192.fl1', '192.gn1', '192.gs1', '192.gu1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 486919748214, 1822337812123926, 1821708766832454], 'label': '1536.408640176.96.fb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.fb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fb1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 62618037
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.fc1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.n1', '48.dx1', '48.fg1', '48.fw1'], 'contains': ['192.cl1', '192.cn1', '192.cp1', '192.do1', '192.dw1', '192.dx1', '192.dz1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [735925060135, 1822051397507041, 4466674913186214, 795533260052208], 'label': '1536.408640176.96.fc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fc1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618038
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.fd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.n1', '48.dx1', '48.fh1', '48.fy1'], 'contains': ['192.cl1', '192.co1', '192.cq1', '192.dq1', '192.dv1', '192.dz1', '192.eb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1821708766832455, 360096412929841], 'label': '1536.408640176.96.fd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fd1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618039
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fe1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.o1', '48.dy1', '48.fg1', '48.fh1', '48.gc1'], 'contains': ['192.cl1', '192.cr1', '192.du1', '192.ee1', '192.ef1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 795533260052208, 85621839531960, 293647592167], 'label': '1536.408640176.96.fe1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fe1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fe1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618040
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bt1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1', '6.m1', '6.o1'], 'contains': ['24.ed1', '24.ee1', '24.ef1', '24.hk1', '24.hq1'], 'core': '48.f1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1558054135131894, 1822051397507040, 359890668370854, 86101382114929], 'label': '1536.408640176.12.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bt1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62618041
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fe2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.o2', '48.dy2', '48.fg1', '48.fh1', '48.gc1'], 'contains': ['192.cl1', '192.cs1', '192.ct1', '192.du1', '192.ed1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 1822051397507041, 795533260052208, 85621839531960], 'label': '1536.408640176.96.fe2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fe2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fe2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618042
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ff1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.n1', '48.dx1', '48.fi1', '48.ge1'], 'contains': ['192.cm1', '192.cn1', '192.co1', '192.do1', '192.dv1', '192.ei1', '192.eq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 3867165506497375, 359890668370854], 'label': '1536.408640176.96.ff1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.ff1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ff1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618043
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.fg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.n1', '48.dx1', '48.fj1', '48.gg1'], 'contains': ['192.cm1', '192.cp1', '192.cq1', '192.dq1', '192.dw1', '192.eq1', '192.ez1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [486919748214, 1821696294037009, 359890668370854, 3867165506497374], 'label': '1536.408640176.96.fg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618044
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fh1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.o1', '48.dy2', '48.es1', '48.et1', '48.fi1', '48.fj1', '48.gk1'], 'contains': ['192.cm1', '192.cr1', '192.du1', '192.fi1', '192.fj1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821696294037009, 795533260052208, 293647592166, 85621839531961], 'label': '1536.408640176.96.fh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.fh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fh1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618045
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fh2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.o2', '48.dy1', '48.fi1', '48.fj1', '48.gk1'], 'contains': ['192.cm1', '192.cs1', '192.ct1', '192.du1', '192.fh1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 795533260052208, 1822051397507040, 85621839531961], 'label': '1536.408640176.96.fh2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fh2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fh2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618047
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fj1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.q1', '48.eb1', '48.eu1', '48.ey1', '48.fg1', '48.fi1', '48.gr1'], 'contains': ['192.cn1', '192.cr1', '192.ct1', '192.ek1', '192.em1', '192.fm1', '192.fs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [4466613129942961, 795533260052208, 85621839531960, 1558328574027631], 'label': '1536.408640176.96.fj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fj1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618048
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fk1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.r1', '48.eb1', '48.ev1', '48.ez1', '48.fg1', '48.fi1', '48.gr1'], 'contains': ['192.cn1', '192.cr1', '192.cs1', '192.ek1', '192.el1', '192.fm1', '192.fp1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [795533260052208, 1558054135131895, 85621839531960, 1558328574027631], 'label': '1536.408640176.96.fk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fk1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618049
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fl1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.s1', '48.ec1', '48.ew1', '48.ey1', '48.fh1', '48.fi1', '48.gw1'], 'contains': ['192.co1', '192.cr1', '192.ct1', '192.es1', '192.ew1', '192.fn1', '192.ft1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1821696294037009, 1558502850424321, 795533260052208, 85621839531960], 'label': '1536.408640176.96.fl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fl1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618050
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fm1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.s1', '48.ec1', '48.eu1', '48.fa1', '48.fg1', '48.fj1', '48.gx1'], 'contains': ['192.cp1', '192.cr1', '192.ct1', '192.es1', '192.ew1', '192.fo1', '192.fv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [735925060135, 1779365212353055, 4466674913186214, 795533260052208], 'label': '1536.408640176.96.fm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fm1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618051
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bu1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.b1', '6.m1', '6.n1'], 'contains': ['24.dz1', '24.ee1', '24.eg1', '24.eu1', '24.ev1', '24.ff1', '24.fg1', '24.he1', '24.hi1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1822051397507040, 85621839531960, 4087853328153271, 359890668370854], 'label': '1536.408640176.12.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bu1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62618052
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fn1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.t1', '48.ec1', '48.ex1', '48.ez1', '48.fh1', '48.fi1', '48.gw1'], 'contains': ['192.co1', '192.cr1', '192.cs1', '192.es1', '192.et1', '192.fn1', '192.fq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [735925060135, 795533260052208, 85621839531960, 4466674913186215], 'label': '1536.408640176.96.fn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fn1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618053
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fo1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.t1', '48.ec1', '48.ev1', '48.fb1', '48.fg1', '48.fj1', '48.gx1'], 'contains': ['192.cp1', '192.cr1', '192.cs1', '192.es1', '192.et1', '192.fo1', '192.fr1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [735925060135, 4466674913186214, 795533260052208, 85621839531961], 'label': '1536.408640176.96.fo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fo1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618054
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fp1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.q1', '48.eb1', '48.ew1', '48.fa1', '48.fh1', '48.fj1', '48.hd1'], 'contains': ['192.cq1', '192.cr1', '192.ct1', '192.fb1', '192.fd1', '192.fm1', '192.fs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [735925060135, 1779365212353055, 1558054135131894, 795533260052208], 'label': '1536.408640176.96.fp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fp1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618055
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fq1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.r1', '48.eb1', '48.ex1', '48.fb1', '48.fh1', '48.fj1', '48.hd1'], 'contains': ['192.cq1', '192.cr1', '192.cs1', '192.fb1', '192.fc1', '192.fm1', '192.fp1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [735925060135, 1558054135131894, 795533260052208, 85621839531961], 'label': '1536.408640176.96.fq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fq1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618056
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.fr1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.u1', '48.ej1', '48.it1'], 'contains': ['192.cu1', '192.cw1', '192.cy1', '192.dp1', '192.dr1', '192.dy1', '192.ea1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 1179756178121070, 795533260052208, 1179562545343135], 'label': '1536.408640176.96.fr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.fr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fr1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618057
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.fs1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.u1', '48.ej1', '48.iv1'], 'contains': ['192.cv1', '192.cx1', '192.cy1', '192.ds1', '192.dt1', '192.ea1', '192.ec1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 1179562545343134, 795533260052208, 486919748215], 'label': '1536.408640176.96.fs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.fs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fs1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618058
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ft1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.u1', '48.ej1', '48.ja1'], 'contains': ['192.cu1', '192.cx1', '192.cz1', '192.dp1', '192.ds1', '192.ej1', '192.er1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 795533260052208, 1179562545343135], 'label': '1536.408640176.96.ft1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.ft1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ft1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618059
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.fu1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.u1', '48.ej1', '48.jc1'], 'contains': ['192.cv1', '192.cw1', '192.cz1', '192.dr1', '192.dt1', '192.er1', '192.fa1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822300402411441, 486919748214, 1179562545343134, 795533260052208], 'label': '1536.408640176.96.fu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.fu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fu1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618060
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fv1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.v1', '48.ek1', '48.es1', '48.et1', '48.fc1', '48.fe1', '48.jg1'], 'contains': ['192.db1', '192.fi1', '192.fk1', '192.gz1', '192.hb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [281175158881, 795533260052208, 293647592166, 85621839531961], 'label': '1536.408640176.96.fv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.fv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fv1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618061
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fw1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.w1', '48.ek1', '48.es1', '48.et1', '48.fd1', '48.ff1', '48.jg1'], 'contains': ['192.db1', '192.fj1', '192.fk1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1779365212353055, 795533260052208, 1822057638927127, 293647592166], 'label': '1536.408640176.96.fw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.fw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fw1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618062
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.b1', '6.l1', '6.o1'], 'contains': ['24.dz1', '24.ee1', '24.eh1', '24.et1', '24.ew1', '24.fe1', '24.fh1', '24.he1', '24.hj1'], 'core': '48.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1179756178121070, 359890668370854, 85621839531961, 4087853328153270], 'label': '1536.408640176.12.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bv1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62618063
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fx1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.x1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.x1', '48.ed2', '48.eu1', '48.ev1', '48.ey1', '48.ez1', '48.hj1'], 'contains': ['192.dc1', '192.di1', '192.dl1', '192.ek1', '192.es1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [4466613129942961, 795533260052208, 85621839531960, 4466787406313791], 'label': '1536.408640176.96.fx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fx1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618064
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fy1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.y1', '48.ed1', '48.ev1', '48.ez1', '48.hj1'], 'contains': ['192.dc1', '192.di1', '192.el1', '192.et1', '192.gx1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 1558054135131895, 85621839531960, 1558403286670945], 'label': '1536.408640176.96.fy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fy1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618065
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.fz1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.z1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.z1', '48.ed1', '48.eu1', '48.ey1', '48.hj1'], 'contains': ['192.dc1', '192.dl1', '192.em1', '192.ew1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 1558054135131895, 1558403286670945, 1779365212353054], 'label': '1536.408640176.96.fz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.fz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.fz1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618066
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ga1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bb1', '48.ef1', '48.fk1', '48.fl1', '48.hs1'], 'contains': ['192.dd1', '192.de1', '192.eh1', '192.eo1', '192.fe1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 1558054135131895], 'label': '1536.408640176.96.ga1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.ga1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ga1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618067
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ga2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bb1', '48.ef1', '48.hs2'], 'contains': ['192.dc1', '192.dd1', '192.dh1', '192.eh1', '192.en1', '192.eo2', '192.ep1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179562545343134, 281175158881, 1558054135131895, 359890668370854], 'label': '1536.408640176.96.ga2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bl1', 'old_label': '96.ga2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ga2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618068
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gb1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.x1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.x1', '48.ed1', '48.ew1', '48.ex1', '48.fa1', '48.fb1', '48.ht1'], 'contains': ['192.de1', '192.di1', '192.dl1', '192.es1', '192.fb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 442804380649, 4466613129942960, 85621839531961], 'label': '1536.408640176.96.gb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.gb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618069
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gc1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.y1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.y1', '48.ed2', '48.ex1', '48.fb1', '48.fk1', '48.fm1', '48.ht1'], 'contains': ['192.de1', '192.di1', '192.et1', '192.fc1', '192.gy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1558054135131894, 795533260052208, 442804380649, 85621839531961], 'label': '1536.408640176.96.gc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.gc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gc1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618070
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.z1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.z1', '48.ed2', '48.ew1', '48.fa1', '48.fl1', '48.fn1', '48.ht1'], 'contains': ['192.de1', '192.dl1', '192.ew1', '192.fd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779365212353055, 1558054135131894, 795533260052208, 442804380649], 'label': '1536.408640176.96.gd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.gd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gd1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618071
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ge1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.x1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.ba1', '48.ee1', '48.fk1', '48.fl1', '48.fm1', '48.fn1', '48.hy1'], 'contains': ['192.de1', '192.ff1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1558054135131894, 1285751207061721, 795533260052208, 442804380649], 'label': '1536.408640176.96.ge1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.ge1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ge1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618072
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.gf1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bb1', '48.ef1', '48.fm1', '48.fn1', '48.hz1'], 'contains': ['192.de1', '192.dh1', '192.ep1', '192.fe1', '192.fg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 281175158881, 1558054135131894, 359890668370854], 'label': '1536.408640176.96.gf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.gf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gf1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618073
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.c1', '6.m1', '6.n1'], 'contains': ['24.ec1', '24.ed1', '24.eg1', '24.hf1', '24.hl1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1822051397507040, 4087853328153271, 359890668370854, 1779521014819080], 'label': '1536.408640176.12.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bw1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62618074
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.gg1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bc1', '48.eg1', '48.ie1'], 'contains': ['192.df1', '192.dg1', '192.dj1', '192.eu1', '192.ev1', '192.ex1', '192.fu1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 4913329002108151, 1179581701804201], 'label': '1536.408640176.96.gg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bn1', 'old_label': '96.gg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gg1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618075
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.gh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bc1', '48.eg1', '48.fo1', '48.fq1', '48.if1'], 'contains': ['192.df1', '192.dk1', '192.eu1', '192.ey1', '192.fw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 4087853328153270, 1558428202046910], 'label': '1536.408640176.96.gh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.gh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gh1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618076
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.gi1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bc1', '48.eg1', '48.fp1', '48.fr1', '48.ig1'], 'contains': ['192.dg1', '192.dk1', '192.ev1', '192.ey1', '192.fx1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [2209075491697615, 4466674913186214, 795533260052208, 4088271101448655], 'label': '1536.408640176.96.gi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.gi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gi1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618077
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gj1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.bd1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bd1', '48.eh2', '48.ew1', '48.ex1', '48.ey1', '48.ez1', '48.il1'], 'contains': ['192.di1', '192.dj1', '192.dl1', '192.fm1', '192.fn1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1558502850424321, 795533260052208, 442804380649, 85621839531960], 'label': '1536.408640176.96.gj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.gj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gj1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618078
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gk1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.bd1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bd1', '48.eh1', '48.eu1', '48.ev1', '48.fa1', '48.fb1', '48.im1'], 'contains': ['192.di1', '192.dk1', '192.dl1', '192.fm1', '192.fo1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1558502850424320, 795533260052208, 442804380649, 85621839531961], 'label': '1536.408640176.96.gk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.gk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gk1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618079
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gl1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.be1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.be1', '48.eh1', '48.ex1', '48.ez1', '48.il1'], 'contains': ['192.di1', '192.dj1', '192.fp1', '192.fq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 442804380649, 85621839531960, 4466674913186215], 'label': '1536.408640176.96.gl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.gl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gl1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618080
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gm1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.be1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.be1', '48.eh2', '48.ev1', '48.fb1', '48.fo1', '48.fp1', '48.im1'], 'contains': ['192.di1', '192.dk1', '192.fp1', '192.fr1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 442804380649, 85621839531961], 'label': '1536.408640176.96.gm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.gm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gm1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618081
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gn1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.bf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bf1', '48.eh1', '48.ew1', '48.ey1', '48.il1'], 'contains': ['192.dj1', '192.dl1', '192.fs1', '192.ft1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795533260052208, 442804380649, 1779365212353054, 4466674913186215], 'label': '1536.408640176.96.gn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.gn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gn1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618082
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.go1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.49', 'aut_weyl_index': 384, 'centralizer': '48.bf1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bf1', '48.eh2', '48.eu1', '48.fa1', '48.fq1', '48.fr1', '48.im1'], 'contains': ['192.dk1', '192.dl1', '192.fs1', '192.fv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1779365212353055, 4466674913186214, 795533260052208, 442804380649], 'label': '1536.408640176.96.go1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.go1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.go1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618083
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gp1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.bb1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bg1', '48.ei1', '48.fo1', '48.fp1', '48.fq1', '48.fr1', '48.ir1'], 'contains': ['192.dk1', '192.fy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1558502850424320, 795533260052208, 442804380649, 3982369238227081], 'label': '1536.408640176.96.gp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.gp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gp1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618084
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '12.bx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6536092', 'aut_weyl_index': 24, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.c1', '6.l1', '6.o1'], 'contains': ['24.ec1', '24.ed1', '24.eh1', '24.hf1', '24.hm1'], 'core': '48.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1558054135131894, 1179756178121070, 359890668370854, 86101382114929, 4087853328153270], 'label': '1536.408640176.12.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bx1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62618085
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.gq1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bh1', '48.ej1', '48.it1'], 'contains': ['192.cu1', '192.cw1', '192.dd1', '192.df1', '192.dm1', '192.dy1', '192.ea1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 50346753847, 1179562545343135], 'label': '1536.408640176.96.gq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.gq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gq1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618086
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.gr1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bh1', '48.ej1', '48.iv1'], 'contains': ['192.cv1', '192.cx1', '192.dg1', '192.dh1', '192.dm1', '192.ea1', '192.ec1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179562545343134, 795533260052208, 50346753847, 486919748215], 'label': '1536.408640176.96.gr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.gr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gr1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618087
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.gs1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bh1', '48.ej1', '48.ja1'], 'contains': ['192.cu1', '192.cx1', '192.dd1', '192.dg1', '192.dn1', '192.ej1', '192.er1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 795533260052208, 50346753847, 1179562545343135], 'label': '1536.408640176.96.gs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.gs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gs1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618088
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.gt1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3072, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bh1', '48.ej1', '48.jc1'], 'contains': ['192.cv1', '192.cw1', '192.df1', '192.dh1', '192.dn1', '192.er1', '192.fa1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 1179562545343134, 795533260052208, 50346753847], 'label': '1536.408640176.96.gt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bs1', 'old_label': '96.gt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gt1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618089
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gu1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bi1', '48.ed1', '48.fg1', '48.fi1', '48.hj1'], 'contains': ['192.do1', '192.du1', '192.el1', '192.em1', '192.es1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 1558054135131895, 85621839531960, 4466787406313791], 'label': '1536.408640176.96.gu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.gu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gu1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618090
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gu2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bi2', '48.ed2', '48.fg1', '48.fi1', '48.hj1'], 'contains': ['192.do1', '192.du1', '192.ek1', '192.et1', '192.ew1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [4466613129942961, 795533260052208, 85621839531960, 1558403286670945], 'label': '1536.408640176.96.gu2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.gu2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gu2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618091
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.gv1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bk1', '48.ef1', '48.fs1', '48.hs1'], 'contains': ['192.dp1', '192.dq1', '192.eh1', '192.eo1', '192.fe1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795527018642215, 1822337812123926, 1179562545343134, 1558054135131895], 'label': '1536.408640176.96.gv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.gv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gv1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618092
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.gv2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bk1', '48.ef1', '48.hs2'], 'contains': ['192.do1', '192.dp1', '192.dt1', '192.eh1', '192.en1', '192.eo2', '192.ep1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179562545343134, 1558054135131895, 1822057638927127, 359890668370854], 'label': '1536.408640176.96.gv2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bl1', 'old_label': '96.gv2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gv2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618093
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gw1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bi1', '48.ed2', '48.fh1', '48.fj1', '48.fs1', '48.ft1', '48.ht1'], 'contains': ['192.dq1', '192.du1', '192.es1', '192.fc1', '192.fd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 1558054135131894, 795533260052208, 85621839531961], 'label': '1536.408640176.96.gw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.gw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gw1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618094
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gw2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bi2', '48.ed1', '48.fh1', '48.fj1', '48.ht1'], 'contains': ['192.dq1', '192.du1', '192.et1', '192.ew1', '192.fb1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 795533260052208, 4466613129942960, 85621839531961], 'label': '1536.408640176.96.gw2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.gw2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gw2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618095
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.by1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.f1'], 'contains': ['24.ds1', '24.du1', '24.ei1', '24.ek1', '24.eo1', '24.fu1', '24.fy1', '24.gp1', '24.gs1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1821708766832455, 85621839531960, 359890668370854, 4466419656786750, 1558428202046910], 'label': '1536.408640176.12.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '12.by1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.by1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618096
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.gx1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.bj1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bj1', '48.ee1', '48.fs1', '48.ft1', '48.hy1'], 'contains': ['192.dq1', '192.ff1', '192.ha1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 1558054135131894, 1285751207061721, 795533260052208], 'label': '1536.408640176.96.gx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.gx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gx1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618097
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.gy1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bk1', '48.ef1', '48.ft1', '48.hz1'], 'contains': ['192.dq1', '192.dt1', '192.ep1', '192.fe1', '192.fg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1179562545343134, 1558054135131894, 1822057638927127, 359890668370854], 'label': '1536.408640176.96.gy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.gy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gy1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618098
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.gz1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bl1', '48.eg1', '48.ie1'], 'contains': ['192.dr1', '192.ds1', '192.dv1', '192.eu1', '192.ev1', '192.ex1', '192.fu1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179756178121070, 795533260052208, 4913329002108151, 4088271101448655], 'label': '1536.408640176.96.gz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bn1', 'old_label': '96.gz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.gz1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618099
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ha1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bl1', '48.eg1', '48.fu1', '48.if1'], 'contains': ['192.dr1', '192.dw1', '192.eu1', '192.ey1', '192.fw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [795527018642215, 1822337812123926, 4087853328153270, 1558428202046910], 'label': '1536.408640176.96.ha1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.ha1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ha1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618100
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.hb1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bl1', '48.eg1', '48.fv1', '48.ig1'], 'contains': ['192.ds1', '192.dw1', '192.ev1', '192.ey1', '192.fx1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [2209075491697615, 4466674913186214, 795533260052208, 1179581701804201], 'label': '1536.408640176.96.hb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.hb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hb1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618101
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hc1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bm1', '48.eh1', '48.fh1', '48.fi1', '48.il1'], 'contains': ['192.du1', '192.dv1', '192.fm1', '192.fq1', '192.ft1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 795533260052208, 85621839531960, 4466674913186215], 'label': '1536.408640176.96.hc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hc1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618102
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hc2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bm2', '48.eh2', '48.fh1', '48.fi1', '48.il1'], 'contains': ['192.du1', '192.dv1', '192.fn1', '192.fp1', '192.fs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 1558502850424321, 795533260052208, 85621839531960], 'label': '1536.408640176.96.hc2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hc2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hc2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618103
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hd1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bm1', '48.eh2', '48.fg1', '48.fj1', '48.fu1', '48.fv1', '48.im1'], 'contains': ['192.du1', '192.dw1', '192.fm1', '192.fr1', '192.fv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 4466674913186214, 795533260052208, 85621839531961], 'label': '1536.408640176.96.hd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.hd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hd1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618104
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hd2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bm2', '48.eh1', '48.fg1', '48.fj1', '48.im1'], 'contains': ['192.du1', '192.dw1', '192.fo1', '192.fp1', '192.fs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 1558502850424320, 795533260052208, 85621839531961], 'label': '1536.408640176.96.hd2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hd2', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hd2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618105
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.he1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.bn1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bn1', '48.ei1', '48.fu1', '48.fv1', '48.ir1'], 'contains': ['192.dw1', '192.fy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 1558502850424320, 795533260052208, 3982369238227081], 'label': '1536.408640176.96.he1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.he1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.he1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618106
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.bz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 96, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.a1'], 'contains': ['24.df1', '24.dg1', '24.di1', '24.dk1', '24.dl1', '24.dn1', '24.dr1', '24.dt1', '24.dw1', '24.dx1', '24.eb1', '24.ek1', '24.el1', '24.em1', '24.fi1', '24.fj1', '24.fk1', '24.fm1', '24.fn1', '24.fo1', '24.fr1', '24.fs1', '24.fv1', '24.fw1', '24.gb1', '24.gn1', '24.go1', '24.gq1', '24.gt1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1179562545343134, 1558054135131895, 359890668370854, 4466419656786750], 'label': '1536.408640176.12.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '12.bz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bz1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 62618107
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.hf1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bo1', '48.el1', '48.eu1', '48.fg1', '48.jm1'], 'contains': ['192.dx1', '192.ed1', '192.ef1', '192.ek1', '192.em1', '192.fo1', '192.fv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822051397507041, 86082708280015, 4466674913186214, 795533260052208], 'label': '1536.408640176.96.hf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hf1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618108
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.hg1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bp1', '48.el1', '48.ev1', '48.fg1', '48.jm1'], 'contains': ['192.dx1', '192.ed1', '192.ee1', '192.ek1', '192.el1', '192.fo1', '192.fr1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822051397507041, 1779421385188801, 4466674913186214, 795533260052208], 'label': '1536.408640176.96.hg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618109
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hh1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bq1', '48.em1', '48.eu1', '48.ew1', '48.fg1', '48.fh1', '48.jx1'], 'contains': ['192.dz1', '192.ed1', '192.ef1', '192.es1', '192.ew1', '192.fm1', '192.fs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1822051397507041, 795533260052208, 85621839531960, 1558328574027631], 'label': '1536.408640176.96.hh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hh1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618110
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hi1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.br1', '48.em1', '48.ev1', '48.ex1', '48.fg1', '48.fh1', '48.jx1'], 'contains': ['192.dz1', '192.ed1', '192.ee1', '192.es1', '192.et1', '192.fm1', '192.fp1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1822051397507041, 4466413418965225, 795533260052208, 85621839531960], 'label': '1536.408640176.96.hi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hi1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hi1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618111
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.hj1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bo1', '48.el1', '48.ew1', '48.fh1', '48.kc1'], 'contains': ['192.eb1', '192.ed1', '192.ef1', '192.fb1', '192.fd1', '192.fn1', '192.ft1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822051397507041, 86082708280015, 1558054135131894, 795533260052208], 'label': '1536.408640176.96.hj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hj1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618112
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.hk1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bp1', '48.el1', '48.ex1', '48.fh1', '48.kc1'], 'contains': ['192.eb1', '192.ed1', '192.ee1', '192.fb1', '192.fc1', '192.fn1', '192.fq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822051397507041, 1779421385188801, 1558054135131894, 795533260052208], 'label': '1536.408640176.96.hk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hk1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618113
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hl1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bs1', '48.en1', '48.es1', '48.fc1', '48.kq1'], 'contains': ['192.eg1', '192.fi1', '192.fk1', '192.hc1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 85634286366367, 293647592166, 486919748215], 'label': '1536.408640176.96.hl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.hl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hl1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618114
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hm1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bt1', '48.en1', '48.es1', '48.fd1', '48.kq1'], 'contains': ['192.eg1', '192.fj1', '192.fk1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 293647592166, 486919748215, 1779346498581049], 'label': '1536.408640176.96.hm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.hm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hm1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618115
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.hn1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bo1', '48.el1', '48.ey1', '48.fi1', '48.ku1'], 'contains': ['192.ei1', '192.ek1', '192.em1', '192.fh1', '192.fj1', '192.fn1', '192.ft1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 795533260052208, 1822051397507040, 1558054135131895], 'label': '1536.408640176.96.hn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hn1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618116
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ho1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bp1', '48.el1', '48.ez1', '48.fi1', '48.ku1'], 'contains': ['192.ei1', '192.ek1', '192.el1', '192.fh1', '192.fi1', '192.fn1', '192.fq1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779421385188801, 795533260052208, 1822051397507040, 1558054135131895], 'label': '1536.408640176.96.ho1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.ho1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ho1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618117
    {'ambient': '1536.408640176', 'aut_centralizer_order': 2, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1536.408598440', 'aut_weyl_index': 8, 'centralizer': '384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['8.b1', '8.f1', '8.i1', '12.l1', '16.a1', '16.f1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [85621839531960, 83903140502304, 359890668370854, 1821708766832454, 486919748214, 1822337812123926, 735925060135, 1], 'label': '1536.408640176.4.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '4.d1', 'projective_image': '768.1090134', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 62618136
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.if1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.cb1', '48.er1', '48.fq1', '48.fu1', '48.mm1'], 'contains': ['192.fv1', '192.fw1', '192.fy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779421385188801, 1179756178121070, 795533260052208, 4913329002108150], 'label': '1536.408640176.96.if1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.if1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.if1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618118
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.ca1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.a1', '6.l1'], 'contains': ['24.dg1', '24.dj1', '24.dl1', '24.dp1', '24.dv1', '24.dy1', '24.eh1', '24.el1', '24.en1', '24.fj1', '24.fl1', '24.fn1', '24.fp1', '24.ft1', '24.fx1', '24.gf1', '24.go1', '24.gr1', '24.gu1'], 'core': '48.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 1821708766832454, 359890668370854, 486919748215, 1558428202046910], 'label': '1536.408640176.12.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ca1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.ca1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62618119
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hp1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bw1', '48.ep1', '48.fk1', '48.fs1', '48.ld1'], 'contains': ['192.eo1', '192.fc1', '192.ff1', '192.hd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 4466613129942960, 1179562545343135, 1286031869723215], 'label': '1536.408640176.96.hp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.hp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hp1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618120
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hq1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bx1', '48.ep1', '48.fl1', '48.fs1', '48.ld1'], 'contains': ['192.eo1', '192.fd1', '192.ff1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [795533260052208, 3982550299785001, 4466613129942960, 1179562545343135], 'label': '1536.408640176.96.hq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.hq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hq1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618121
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hr1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bq1', '48.em1', '48.ey1', '48.fa1', '48.fi1', '48.fj1', '48.lg1'], 'contains': ['192.eq1', '192.es1', '192.ew1', '192.fh1', '192.fj1', '192.fm1', '192.fs1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [795533260052208, 1822051397507040, 85621839531961, 1558328574027631], 'label': '1536.408640176.96.hr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hr1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618122
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hs1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.br1', '48.em1', '48.ez1', '48.fb1', '48.fi1', '48.fj1', '48.lg1'], 'contains': ['192.eq1', '192.es1', '192.et1', '192.fh1', '192.fi1', '192.fm1', '192.fp1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [4466413418965225, 795533260052208, 1822051397507040, 85621839531961], 'label': '1536.408640176.96.hs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hs1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hs1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618123
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '96.ht1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.by1', '48.eq1', '48.fo1', '48.fp1', '48.fu1', '48.fv1', '48.lo1'], 'contains': ['192.ey1', '192.fr1', '192.fy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [4466674913186214, 795533260052208, 85621839531961, 4088271101448655], 'label': '1536.408640176.96.ht1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.ht1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ht1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618124
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '96.hu1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bz1', '48.eq1', '48.fq1', '48.fr1', '48.fu1', '48.fv1', '48.lo1'], 'contains': ['192.ey1', '192.fv1', '192.fy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1779365212353055, 4466674913186214, 795533260052208, 1179581701804201], 'label': '1536.408640176.96.hu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.hu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hu1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618125
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.hv1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.v1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bo1', '48.el1', '48.fa1', '48.fj1', '48.lp1'], 'contains': ['192.ez1', '192.fb1', '192.fd1', '192.fh1', '192.fj1', '192.fo1', '192.fv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 1558054135131894, 795533260052208, 1822051397507040], 'label': '1536.408640176.96.hv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hv1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618126
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.hw1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '96.t1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bp1', '48.el1', '48.fb1', '48.fj1', '48.lp1'], 'contains': ['192.ez1', '192.fb1', '192.fc1', '192.fh1', '192.fi1', '192.fo1', '192.fr1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779421385188801, 1558054135131894, 795533260052208, 1822051397507040], 'label': '1536.408640176.96.hw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.hw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hw1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618127
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '96.hx1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bu1', '48.eo1', '48.fk1', '48.fm1', '48.fs1', '48.ft1', '48.mc1'], 'contains': ['192.fc1', '192.fe1', '192.ff1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [4087934280229231, 1558054135131894, 795533260052208, 85621839531961], 'label': '1536.408640176.96.hx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.hx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hx1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618128
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '96.hy1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bv1', '48.eo1', '48.fl1', '48.fn1', '48.fs1', '48.ft1', '48.mc1'], 'contains': ['192.fd1', '192.fe1', '192.ff1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1779365212353055, 1179737021691025, 1558054135131894, 795533260052208], 'label': '1536.408640176.96.hy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.hy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hy1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618129
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.cb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.f1', '6.l1', '6.m1'], 'contains': ['24.dz1', '24.ed1', '24.ej1', '24.en1', '24.eo1', '24.fz1', '24.gd1', '24.gs1', '24.gv1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832455, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854], 'label': '1536.408640176.12.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cb1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62618130
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.hz1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bw1', '48.ep1', '48.fm1', '48.ft1', '48.me1'], 'contains': ['192.fc1', '192.ff1', '192.fg1', '192.he1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1179562545343134, 86082708280015, 795533260052208, 4466613129942960], 'label': '1536.408640176.96.hz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.hz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.hz1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618131
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ia1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '192.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bx1', '48.ep1', '48.fn1', '48.ft1', '48.me1'], 'contains': ['192.fd1', '192.ff1', '192.fg1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1779421385188801, 1179562545343134, 795533260052208, 4466613129942960], 'label': '1536.408640176.96.ia1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.r1', 'old_label': '96.ia1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ia1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618132
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ib1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bs1', '48.en1', '48.et1', '48.fe1', '48.mk1'], 'contains': ['192.fi1', '192.fk1', '192.fl1', '192.hf1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 86082708280015, 795533260052208, 723416299248], 'label': '1536.408640176.96.ib1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.ib1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ib1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618133
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ic1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bt1', '48.en1', '48.et1', '48.ff1', '48.mk1'], 'contains': ['192.fj1', '192.fk1', '192.fl1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [486919748214, 1779421385188801, 795533260052208, 723416299248], 'label': '1536.408640176.96.ic1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.ic1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ic1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618134
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.id1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.ca1', '48.er1', '48.fo1', '48.fu1', '48.mm1'], 'contains': ['192.fr1', '192.fw1', '192.fy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [86082708280015, 1179756178121070, 795533260052208, 4913329002108150], 'label': '1536.408640176.96.id1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.id1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.id1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618135
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ie1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.ca1', '48.er1', '48.fp1', '48.fv1', '48.mn1'], 'contains': ['192.fr1', '192.fx1', '192.fy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [2209075491697615, 1558502850424320, 86082708280015, 795533260052208], 'label': '1536.408640176.96.ie1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.ie1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ie1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618137
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.ig1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '192.k1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.cb1', '48.er1', '48.fr1', '48.fv1', '48.mn1'], 'contains': ['192.fv1', '192.fx1', '192.fy1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [2209075491697615, 1779421385188801, 1558502850424320, 795533260052208], 'label': '1536.408640176.96.ig1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.ig1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ig1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618138
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ih1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cc1', '48.fw1', '48.fx1', '48.fy1', '48.fz1', '48.ga1', '48.gb1', '48.gc1', '48.gd1', '48.go1'], 'contains': ['192.b1', '192.ch1', '192.cj1', '192.cl1', '192.fz1', '192.ga1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 486919748215], 'label': '1536.408640176.96.ih1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ih1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ih1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618139
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ii1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.d1', '48.cc1', '48.ge1', '48.gf1', '48.gg1', '48.gh1', '48.gi1', '48.gj1', '48.gk1', '48.gl1', '48.gm1', '48.gn1', '48.go1'], 'contains': ['192.b1', '192.ci1', '192.ck1', '192.cm1', '192.fz1', '192.ge1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 359890668370854], 'label': '1536.408640176.96.ii1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ii1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ii1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618140
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.cc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.g1', '6.l1', '6.m1'], 'contains': ['24.ec1', '24.ee1', '24.en1', '24.gg1', '24.gw1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1821708766832455, 1558054135131894, 1822051397507040, 359890668370854, 1285751207061720], 'label': '1536.408640176.12.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cc1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62618141
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ij1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cd1', '48.fw1', '48.fx1', '48.ge1', '48.gf1', '48.gp1', '48.gq1', '48.gr1', '48.gs1', '48.gt1'], 'contains': ['192.b1', '192.cn1', '192.gb1', '192.gg1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 1179562545343135], 'label': '1536.408640176.96.ij1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ij1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ij1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618142
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ik1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ce1', '48.fy1', '48.fz1', '48.ge1', '48.gh1', '48.gp1', '48.gu1', '48.gw1', '48.gy1', '48.hc1'], 'contains': ['192.b1', '192.co1', '192.gc1', '192.gh1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 4087853328153271, 359890668370854], 'label': '1536.408640176.96.ik1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ik1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ik1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618143
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.il1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.e1', '48.ce1', '48.fw1', '48.ga1', '48.gg1', '48.gi1', '48.gq1', '48.gv1', '48.gx1', '48.gz1', '48.ha1', '48.hb1', '48.hc1'], 'contains': ['192.b1', '192.cp1', '192.gc1', '192.gi1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 4466674913186214, 359890668370854], 'label': '1536.408640176.96.il1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.il1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.il1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618144
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.im1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.f1', '48.cd1', '48.fy1', '48.gb1', '48.gg1', '48.gj1', '48.gt1', '48.gu1', '48.gv1', '48.hd1', '48.he1', '48.hf1', '48.hg1'], 'contains': ['192.b1', '192.cq1', '192.gd1', '192.gg1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179562545343134, 359890668370854], 'label': '1536.408640176.96.im1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.im1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.im1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618145
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.in1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.g1', '48.cf1', '48.gc1', '48.gk1', '48.gr1', '48.gw1', '48.gx1', '48.hd1'], 'contains': ['192.b1', '192.cr1', '192.cs1', '192.ct1', '192.gf1'], 'core': '192.b1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 359890668370854, 85621839531961], 'label': '1536.408640176.96.in1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.in1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.in1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618146
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.io1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cg1', '48.fx1', '48.fz1', '48.gd1', '48.gi1', '48.gj1', '48.gl1', '48.gp1', '48.gs1', '48.gv1', '48.gy1', '48.gz1', '48.he1', '48.hh1', '48.hi1'], 'contains': ['192.b1', '192.gj1', '192.gl1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121070, 359890668370854], 'label': '1536.408640176.96.io1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.io1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.io1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618147
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ip1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cg1', '48.ga1', '48.gb1', '48.gd1', '48.gf1', '48.gh1', '48.gm1', '48.gq1', '48.gs1', '48.gu1', '48.gy1', '48.ha1', '48.hf1', '48.hh1'], 'contains': ['192.b1', '192.gk1', '192.gl1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 1179756178121071, 359890668370854], 'label': '1536.408640176.96.ip1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ip1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ip1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618148
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.iq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ch1', '48.fw1', '48.ge1', '48.hj1', '48.hk1', '48.hm1', '48.hn1', '48.hs2', '48.it1', '48.ja1'], 'contains': ['192.cu1', '192.dc1', '192.do1', '192.fz1', '192.gb1', '192.gc1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 1179562545343135], 'label': '1536.408640176.96.iq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.iq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.iq1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618149
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ir1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ci1', '48.fx1', '48.gf1', '48.hl1', '48.hl2', '48.ho1', '48.hp1', '48.hq1', '48.hr1', '48.hs1', '48.hs2', '48.it1', '48.iu1', '48.ja1', '48.jb1'], 'contains': ['192.dd1', '192.dp1', '192.fz1', '192.gb1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 359890668370854, 1179562545343135], 'label': '1536.408640176.96.ir1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ir1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ir1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618150
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.is1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ch1', '48.fy1', '48.gg1', '48.hs1', '48.ht1', '48.hu1', '48.hv1', '48.hy1', '48.hz1', '48.ic1', '48.id1', '48.iv1', '48.jc1'], 'contains': ['192.cv1', '192.de1', '192.dq1', '192.fz1', '192.gc1', '192.gd1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179562545343134, 359890668370854], 'label': '1536.408640176.96.is1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.is1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.is1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618151
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.cd1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.a1', '6.m1'], 'contains': ['24.dn1', '24.dp1', '24.dq1', '24.dr1', '24.ea1', '24.ef1', '24.eg1', '24.em1', '24.en1', '24.fo1', '24.fp1', '24.fq1', '24.fr1', '24.ga1', '24.gc1', '24.ge1', '24.gt1', '24.gu1', '24.gx1'], 'core': '48.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1558054135131894, 359890668370854, 1179562545343134, 1821708766832455, 486919748214, 1822337812123926, 735925060135], 'label': '1536.408640176.12.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cd1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62618152
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.it1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cj1', '48.fz1', '48.gi1', '48.hl1', '48.hm1', '48.hw1', '48.ia2', '48.ib1', '48.id1', '48.ie1', '48.if1', '48.it1', '48.iw1', '48.jc1', '48.jd1'], 'contains': ['192.df1', '192.dr1', '192.fz1', '192.gc1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 4088271101448655], 'label': '1536.408640176.96.it1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.it1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.it1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618153
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.iu1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cj1', '48.ga1', '48.gh1', '48.hl2', '48.hn1', '48.hx1', '48.ia1', '48.ia3', '48.ic1', '48.ie1', '48.ig1', '48.iv1', '48.iw1', '48.ja1', '48.je1'], 'contains': ['192.dg1', '192.ds1', '192.fz1', '192.gc1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 1179756178121071, 359890668370854], 'label': '1536.408640176.96.iu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.iu1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.iu1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618154
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.iv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ci1', '48.gb1', '48.gj1', '48.hs2', '48.hw1', '48.hx1', '48.hz1', '48.ih1', '48.ii1', '48.ij1', '48.ik1', '48.iv1', '48.ix1', '48.jc1', '48.jf1'], 'contains': ['192.dh1', '192.dt1', '192.fz1', '192.gd1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 359890668370854], 'label': '1536.408640176.96.iv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.iv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.iv1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618155
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.iw1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.ck1', '48.gc1', '48.gk1', '48.hj1', '48.ht1', '48.il1', '48.im1'], 'contains': ['192.di1', '192.dl1', '192.du1', '192.fz1', '192.gf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 359890668370854, 85621839531961], 'label': '1536.408640176.96.iw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.iw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.iw1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618156
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ix1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.cl1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cl1', '48.fy1', '48.ge1', '48.ho1', '48.ie1', '48.ih1', '48.il1', '48.io2', '48.iy1', '48.jh1'], 'contains': ['192.dj1', '192.dv1', '192.fz1', '192.gg1', '192.gh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 4087853328153271, 359890668370854], 'label': '1536.408640176.96.ix1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ix1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ix1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618157
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.iy1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '48.cl1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cl1', '48.fw1', '48.gg1', '48.hp1', '48.if1', '48.ig1', '48.ii1', '48.im1', '48.io1', '48.ir1', '48.is1', '48.iz1', '48.ji1'], 'contains': ['192.dk1', '192.dw1', '192.fz1', '192.gg1', '192.gi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1821901758068215, 1822337812123926, 4466674913186214, 359890668370854], 'label': '1536.408640176.96.iy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.iy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.iy1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618158
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.iz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.cj1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cm1', '48.fx1', '48.gj1', '48.hk1', '48.ho1', '48.hu1', '48.ia1', '48.ib1', '48.ii1', '48.in1', '48.ip1', '48.iw1', '48.iy1', '48.jd1', '48.ji1'], 'contains': ['192.fz1', '192.gg1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 1179756178121070, 359890668370854], 'label': '1536.408640176.96.iz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.iz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.iz1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618159
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ja1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.cj1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cm1', '48.gb1', '48.gf1', '48.hk1', '48.hp1', '48.hv1', '48.ia2', '48.ia3', '48.ih1', '48.in2', '48.iq1', '48.iw1', '48.iz1', '48.je1', '48.jh1'], 'contains': ['192.fz1', '192.gg1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121071, 281175158881, 359890668370854], 'label': '1536.408640176.96.ja1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ja1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ja1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618160
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.cn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cn1', '48.fz1', '48.gh1', '48.hm1', '48.hq1', '48.ic1', '48.ij1', '48.in1', '48.in2', '48.io1', '48.io2', '48.ix1', '48.iy1', '48.jb1', '48.jh1'], 'contains': ['192.fz1', '192.gh1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 281175158881, 4087853328153271, 359890668370854], 'label': '1536.408640176.96.jb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jb1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618161
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.cn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cn1', '48.ga1', '48.gi1', '48.hn1', '48.hr1', '48.id1', '48.ik1', '48.io2', '48.ip1', '48.iq1', '48.is1', '48.iu1', '48.iz1', '48.jf1', '48.ji1'], 'contains': ['192.fz1', '192.gi1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 4466674913186214, 359890668370854], 'label': '1536.408640176.96.jc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jc1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618162
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.ce1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.f1'], 'contains': ['24.ds1', '24.du1', '24.ej1', '24.ep1', '24.er1', '24.fu1', '24.fz1', '24.gz1', '24.hd1'], 'core': '48.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1821708766832454, 1558054135131895, 85621839531960, 359890668370854, 1558328574027631], 'label': '1536.408640176.12.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '12.ce1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.ce1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618163
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jd1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.co1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.co1', '48.gd1', '48.gl1', '48.hl2', '48.hq1', '48.hw1', '48.ia3', '48.ib1', '48.ik1', '48.in2', '48.ip1', '48.it1', '48.iy1', '48.jc1', '48.ji1'], 'contains': ['192.cw1', '192.fz1', '192.gj1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179756178121070, 359890668370854], 'label': '1536.408640176.96.jd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jd1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618164
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.je1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1536, 'centralizer': '48.co1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.co1', '48.gd1', '48.gm1', '48.hl1', '48.hr1', '48.hx1', '48.ia1', '48.ia2', '48.ij1', '48.in1', '48.iq1', '48.iv1', '48.iz1', '48.ja1', '48.jh1'], 'contains': ['192.cx1', '192.fz1', '192.gk1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1179756178121071, 359890668370854], 'label': '1536.408640176.96.je1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.je1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.je1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618165
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.jf1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cp1', '48.go1', '48.it1', '48.iu1', '48.iv1', '48.iw1', '48.ix1', '48.iy1', '48.iz1'], 'contains': ['192.cy1', '192.da1', '192.dm1', '192.fz1', '192.ga1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 359890668370854, 486919748215], 'label': '1536.408640176.96.jf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jf1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 62618166
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.jg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.d1', '48.cp1', '48.go1', '48.ja1', '48.jb1', '48.jc1', '48.jd1', '48.je1', '48.jf1', '48.jg1', '48.jh1', '48.ji1'], 'contains': ['192.cz1', '192.db1', '192.dn1', '192.fz1', '192.ge1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 486919748214, 359890668370854], 'label': '1536.408640176.96.jg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.jg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jg1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618167
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jh1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cq1', '48.fw1', '48.iu1', '48.jl1', '48.jm1', '48.jn1', '48.jp1', '48.jr1', '48.js1', '48.ju1', '48.km1'], 'contains': ['192.dx1', '192.ga1', '192.gb1', '192.gi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822051397507041, 1822337812123926, 4466674913186214, 359890668370854], 'label': '1536.408640176.96.jh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.jh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jh1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618168
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ji1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cr1', '48.fx1', '48.it1', '48.jj1', '48.jk1', '48.jo1', '48.jq1', '48.jt1', '48.ju1', '48.kl1', '48.km1'], 'contains': ['192.dy1', '192.ga1', '192.gb1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 1179562545343135], 'label': '1536.408640176.96.ji1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ji1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ji1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618169
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.jj1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cs1', '48.fw1', '48.fy1', '48.iw1', '48.jj1', '48.jv1', '48.jx1', '48.ka1', '48.kb1', '48.kn2'], 'contains': ['192.dz1', '192.ga1', '192.gc1', '192.gg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 3867807024594391, 359890668370854, 486919748215], 'label': '1536.408640176.96.jj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.jj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jj1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618170
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.jk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ct1', '48.fz1', '48.ga1', '48.it1', '48.iv1', '48.jk1', '48.jl1', '48.jw1', '48.jy1', '48.jy2', '48.jz1', '48.ka1', '48.kb1', '48.kn1', '48.kn2'], 'contains': ['192.ea1', '192.ga1', '192.gc1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 486919748215, 4088271101448655], 'label': '1536.408640176.96.jk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jk1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618171
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jl1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cq1', '48.fy1', '48.ix1', '48.jt1', '48.jz1', '48.kc1', '48.kd1', '48.kf1', '48.kg1', '48.ki1', '48.ko1'], 'contains': ['192.eb1', '192.ga1', '192.gd1', '192.gh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 1179562545343134, 359890668370854], 'label': '1536.408640176.96.jl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.jl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jl1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618172
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jm1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cr1', '48.gb1', '48.iv1', '48.ju1', '48.jv1', '48.jw1', '48.ke1', '48.kh1', '48.ki1', '48.ko1', '48.kp1'], 'contains': ['192.ec1', '192.ga1', '192.gd1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370854, 486919748215], 'label': '1536.408640176.96.jm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jm1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jm1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618173
    {'ambient': '1536.408640176', 'aut_centralizer_order': 8, 'aut_label': '12.cf1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 48, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.a1', '6.n1'], 'contains': ['24.dt1', '24.dv1', '24.dw1', '24.dx1', '24.dy1', '24.ea1', '24.eg1', '24.ep1', '24.eq1', '24.fs1', '24.ft1', '24.fv1', '24.fw1', '24.fx1', '24.ga1', '24.ge1', '24.gy1', '24.hc1', '24.hg1'], 'core': '48.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1179562545343134, 1821708766832454, 1558054135131895, 359890668370854], 'label': '1536.408640176.12.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cf1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 62618174
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.jn1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cu1', '48.gc1', '48.jm1', '48.jx1', '48.kc1'], 'contains': ['192.ed1', '192.ee1', '192.ef1', '192.ga1', '192.gf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1822051397507041, 86082708280015, 359890668370854], 'label': '1536.408640176.96.jn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.jn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jn1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618175
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.jo1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cv1', '48.fx1', '48.gb1', '48.iy1', '48.iz1', '48.jj1', '48.jn1', '48.jv1', '48.jy1', '48.jy2', '48.kd1', '48.kj1', '48.kk1', '48.kn1', '48.kn2'], 'contains': ['192.ga1', '192.gg1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 359890668370854, 486919748215], 'label': '1536.408640176.96.jo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jo1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jo1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618176
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jp1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cw1', '48.fz1', '48.iy1', '48.jo1', '48.jp1', '48.ka1', '48.ke1', '48.kg1', '48.kj1', '48.kl1', '48.ko1'], 'contains': ['192.ga1', '192.gh1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 4087853328153271, 359890668370854], 'label': '1536.408640176.96.jp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jp1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618177
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cw1', '48.ga1', '48.iz1', '48.jq1', '48.js1', '48.kb1', '48.kg1', '48.kh1', '48.kk1', '48.km1', '48.kp1'], 'contains': ['192.ga1', '192.gi1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 4466674913186214, 359890668370854], 'label': '1536.408640176.96.jq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jq1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618178
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jr1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cx1', '48.gd1', '48.iw1', '48.jo1', '48.jq1', '48.jy1', '48.jy2', '48.ke1', '48.kh1', '48.km1', '48.ko1'], 'contains': ['192.ga1', '192.gj1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832455, 1179756178121070, 359890668370854], 'label': '1536.408640176.96.jr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jr1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618179
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.js1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cy1', '48.gd1', '48.iu1', '48.ix1', '48.jk1', '48.jw1', '48.kj1', '48.kk1', '48.kn2'], 'contains': ['192.ga1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 486919748215, 4914002071643455], 'label': '1536.408640176.96.js1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.js1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.js1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618180
    {'ambient': '1536.408640176', 'aut_centralizer_order': 256, 'aut_label': '96.jt1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.go1', '48.kl1', '48.km1', '48.kn1', '48.kn2', '48.ko1', '48.kp1', '48.kq1'], 'contains': ['192.eg1', '192.eg2', '192.ga1', '192.ge1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 1821708766832455, 359890668370854], 'label': '1536.408640176.96.jt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.jt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jt1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 62618181
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ju1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.da1', '48.gp1', '48.gq1', '48.hl1', '48.hl2', '48.hm1', '48.hn1', '48.hs1', '48.hs2', '48.jj1', '48.jk1', '48.jl1', '48.kr1', '48.ks1', '48.kt1'], 'contains': ['192.eh1', '192.gb1', '192.gc1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1558496612582695, 359890668370854, 1179562545343135], 'label': '1536.408640176.96.ju1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ju1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ju1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618182
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jv1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cq1', '48.ge1', '48.jb1', '48.kl1', '48.kt1', '48.ku1', '48.kv1', '48.kx1', '48.ky1', '48.la1', '48.lb1'], 'contains': ['192.ei1', '192.gb1', '192.ge1', '192.gh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 3867165506497375, 359890668370854], 'label': '1536.408640176.96.jv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.jv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jv1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618183
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jw1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cr1', '48.gf1', '48.ja1', '48.km1', '48.kr1', '48.ks1', '48.kw1', '48.kz1', '48.la1', '48.lb1', '48.lc1'], 'contains': ['192.ej1', '192.gb1', '192.ge1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 359890668370854, 1179562545343135], 'label': '1536.408640176.96.jw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jw1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618184
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.cg1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.f1', '6.n1', '6.o1'], 'contains': ['24.dz1', '24.ed1', '24.ei1', '24.eq1', '24.er1', '24.fy1', '24.gd1', '24.hd1', '24.hn1'], 'core': '48.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [735925060135, 1822337812123926, 486919748214, 1558054135131894, 1821708766832454, 359890668370854, 85621839531961], 'label': '1536.408640176.12.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cg1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62618185
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.jx1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.db1', '48.gr1', '48.hj1', '48.jm1', '48.ku1'], 'contains': ['192.ek1', '192.el1', '192.em1', '192.gb1', '192.gf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131895, 359890668370854], 'label': '1536.408640176.96.jx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.jx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jx1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618186
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.jy1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dc1', '48.gt1', '48.hk1', '48.ho1', '48.hp1', '48.jj1', '48.jn1', '48.kr1', '48.kv1'], 'contains': ['192.gb1', '192.gg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 1179562545343135, 1558328574027631], 'label': '1536.408640176.96.jy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jy1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jy1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618187
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.jz1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dd1', '48.gp1', '48.hm1', '48.ho1', '48.hq1', '48.jo1', '48.jp1', '48.jt1', '48.kw1', '48.ky1', '48.lb1'], 'contains': ['192.gb1', '192.gh1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 1558054135131895, 359890668370854], 'label': '1536.408640176.96.jz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.jz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.jz1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618188
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ka1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dd1', '48.gq1', '48.hn1', '48.hp1', '48.hr1', '48.jq1', '48.js1', '48.ju1', '48.ky1', '48.kz1', '48.lc1'], 'contains': ['192.gb1', '192.gi1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 359890668370854, 1179562545343135], 'label': '1536.408640176.96.ka1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ka1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ka1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618189
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.kb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.de1', '48.gs1', '48.hk1', '48.hl1', '48.hl2', '48.jo1', '48.jq1', '48.ju1', '48.kw1', '48.kz1', '48.lb1'], 'contains': ['192.gb1', '192.gj1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 3867165506497375, 359890668370854], 'label': '1536.408640176.96.kb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.kb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kb1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618190
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.kc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.df1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.df1', '48.gs1', '48.hq1', '48.hr1', '48.hs2', '48.jk1', '48.jn1', '48.ks1', '48.kv1'], 'contains': ['192.en1', '192.gb1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 4466581508513575, 359890668370854, 1179562545343135], 'label': '1536.408640176.96.kc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.kc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kc1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618191
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.kd1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '48.gt1', '48.hs1', '48.hs2', '48.jt1', '48.ju1', '48.lb1', '48.lc1', '48.ld1'], 'contains': ['192.eo1', '192.eo2', '192.gb1', '192.gd1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558054135131895, 359890668370854], 'label': '1536.408640176.96.kd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.kd1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kd1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618192
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ke1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.ch1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.da1', '48.gu1', '48.gv1', '48.hs2', '48.hw1', '48.hx1', '48.hz1', '48.ic1', '48.id1', '48.jv1', '48.jw1', '48.jz1', '48.le1', '48.lf1', '48.ll1'], 'contains': ['192.ep1', '192.gc1', '192.gd1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558496612582695, 359890668370854], 'label': '1536.408640176.96.ke1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ke1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ke1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618193
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.kf1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cs1', '48.ge1', '48.gg1', '48.jd1', '48.je1', '48.kn1', '48.kr1', '48.le1', '48.lg1', '48.lj1', '48.lk1', '48.lm1', '48.ln1'], 'contains': ['192.eq1', '192.gc1', '192.ge1', '192.gg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 3867807024594391, 359890668370854], 'label': '1536.408640176.96.kf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.kf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kf1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618194
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.kg1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ct1', '48.gh1', '48.gi1', '48.ja1', '48.jc1', '48.kn2', '48.ks1', '48.kt1', '48.lf1', '48.lh1', '48.li1', '48.lk1', '48.ll1', '48.lm1', '48.ln1'], 'contains': ['192.er1', '192.gc1', '192.ge1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 359890668370854, 4088271101448655], 'label': '1536.408640176.96.kg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.kg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kg1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618195
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.ch1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.53387', 'aut_weyl_index': 48, 'centralizer': '192.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.g1', '6.n1', '6.o1'], 'contains': ['24.ec1', '24.ee1', '24.eq1', '24.gg1', '24.ho1'], 'core': '48.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1558054135131894, 359890668370854, 1821708766832454, 486919748214, 1285751207061721, 1822337812123926, 735925060135], 'label': '1536.408640176.12.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ch1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.ch1', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 62618196
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.kh1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.dh1', '48.gw1', '48.gx1', '48.hj1', '48.ht1', '48.jx1', '48.lg1'], 'contains': ['192.es1', '192.et1', '192.ew1', '192.gc1', '192.gf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 4466787406313791, 85621839531961], 'label': '1536.408640176.96.kh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.kh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kh1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618197
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.ki1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.di1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.di1', '48.gp1', '48.gv1', '48.hk1', '48.hu1', '48.ia3', '48.ib1', '48.ie1', '48.if1', '48.jj1', '48.jy1', '48.ka1', '48.le1', '48.lh1', '48.ln1'], 'contains': ['192.eu1', '192.gc1', '192.gg1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 1558328574027631], 'label': '1536.408640176.96.ki1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ki1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ki1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618198
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.kj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '48.di1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.di1', '48.gq1', '48.gu1', '48.hk1', '48.hv1', '48.ia1', '48.ia2', '48.ie1', '48.ig1', '48.jv1', '48.jy2', '48.kb1', '48.kr1', '48.li1', '48.lm1'], 'contains': ['192.ev1', '192.gc1', '192.gg1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121071, 359890668370854, 1558328574027631], 'label': '1536.408640176.96.kj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.kj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kj1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618199
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.kk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.dj1', '48.gy1', '48.gz1', '48.hl2', '48.hm1', '48.hw1', '48.ia1', '48.ib1', '48.id1', '48.jk1', '48.jy2', '48.ka1', '48.lf1', '48.lh1', '48.ln1'], 'contains': ['192.gc1', '192.gj1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 359890668370854, 4914002071643455], 'label': '1536.408640176.96.kk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.kk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kk1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618200
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.kl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.dj1', '48.gy1', '48.ha1', '48.hl1', '48.hn1', '48.hx1', '48.ia2', '48.ia3', '48.ic1', '48.jw1', '48.jy1', '48.kb1', '48.ks1', '48.li1', '48.lm1'], 'contains': ['192.gc1', '192.gk1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 1179756178121071, 359890668370854, 4466787406313791], 'label': '1536.408640176.96.kl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.kl1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kl1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618201
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.km1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dk1', '48.hc1', '48.hm1', '48.ic1', '48.ie1', '48.jz1', '48.ka1', '48.kt1', '48.lm1'], 'contains': ['192.ex1', '192.gc1', '192.gh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 4087853328153271, 359890668370854, 4466787406313791], 'label': '1536.408640176.96.km1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.km1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.km1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618202
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.kn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.ck1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.e1', '48.dk1', '48.hc1', '48.hn1', '48.id1', '48.if1', '48.ig1', '48.jl1', '48.kb1', '48.ll1', '48.ln1', '48.lo1'], 'contains': ['192.ey1', '192.gc1', '192.gi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 4466674913186214, 359890668370854, 4088271101448655], 'label': '1536.408640176.96.kn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.kn1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kn1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618203
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ko1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cq1', '48.gg1', '48.jf1', '48.kp1', '48.lc1', '48.ll1', '48.lp1', '48.lq1', '48.ls1', '48.lu1', '48.lv1', '48.lw1', '48.lx1', '48.ly1', '48.md1'], 'contains': ['192.ez1', '192.gd1', '192.ge1', '192.gi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 359890668370854, 3867165506497374], 'label': '1536.408640176.96.ko1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ko1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ko1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618204
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.kp1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cr1', '48.gj1', '48.jc1', '48.ko1', '48.lb1', '48.le1', '48.lf1', '48.lr1', '48.lt1', '48.ly1', '48.md1'], 'contains': ['192.fa1', '192.gd1', '192.ge1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [486919748214, 1822337812123926, 1179562545343134, 359890668370854], 'label': '1536.408640176.96.kp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.kp1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kp1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618205
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.kq1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.q1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.db1', '48.hd1', '48.ht1', '48.kc1', '48.ld1', '48.lp1', '48.lz1', '48.ma1', '48.mb1', '48.mc1', '48.me1'], 'contains': ['192.fb1', '192.fc1', '192.fd1', '192.gd1', '192.gf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1558054135131894, 359890668370854], 'label': '1536.408640176.96.kq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.kq1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kq1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618206
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.ci1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.i1', '6.l1', '6.n1'], 'contains': ['24.fx1', '24.gd1', '24.gg1', '24.ha1', '24.hb1', '24.he1', '24.hf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822300402411441, 1822337812123926, 1558054135131894, 1822051397507040, 85621839531960, 359890668370854, 1179562545343135], 'label': '1536.408640176.12.ci1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ci1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.ci1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62618207
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.kr1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.f1', '48.dc1', '48.gt1', '48.hu1', '48.hv1', '48.ih1', '48.ii1', '48.jv1', '48.kd1', '48.le1', '48.lq1', '48.lz1'], 'contains': ['192.gd1', '192.gg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370854, 1558328574027631], 'label': '1536.408640176.96.kr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.kr1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kr1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618208
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ks1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dd1', '48.gu1', '48.ic1', '48.ih1', '48.ij1', '48.ke1', '48.kg1', '48.ki1', '48.lb1', '48.lr1', '48.ls1'], 'contains': ['192.gd1', '192.gh1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 1558428202046911, 359890668370854], 'label': '1536.408640176.96.ks1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ks1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ks1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618209
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.kt1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.dd1', '48.gv1', '48.id1', '48.ii1', '48.ik1', '48.ju1', '48.kg1', '48.kh1', '48.lt1', '48.lx1', '48.md1'], 'contains': ['192.gd1', '192.gi1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370854, 1558428202046910], 'label': '1536.408640176.96.kt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.kt1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kt1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618210
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ku1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.de1', '48.he1', '48.hu1', '48.hw1', '48.jt1', '48.ke1', '48.lt1', '48.ma1', '48.md1'], 'contains': ['192.gd1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 3867165506497374, 1558428202046910], 'label': '1536.408640176.96.ku1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ku1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ku1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618211
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.kv1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.ci1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.de1', '48.hf1', '48.hv1', '48.hx1', '48.kh1', '48.ki1', '48.lc1', '48.lr1', '48.mb1'], 'contains': ['192.gd1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 359890668370854, 4466419656786751], 'label': '1536.408640176.96.kv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.kv1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kv1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618212
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.kw1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '48.df1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.df1', '48.he1', '48.hf1', '48.hs1', '48.hz1', '48.ij1', '48.ik1', '48.jw1', '48.kd1', '48.lf1', '48.lq1', '48.mc1'], 'contains': ['192.fe1', '192.gd1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 4466581508513575, 359890668370854], 'label': '1536.408640176.96.kw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.kw1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kw1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618213
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.kx1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.x1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.dg1', '48.hg1', '48.hy1', '48.kf1', '48.ld1', '48.lu1', '48.lz1', '48.ma1', '48.mb1', '48.mc1', '48.me1'], 'contains': ['192.ff1', '192.gd1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1558054135131894, 359890668370854, 1286031869723215], 'label': '1536.408640176.96.kx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.kx1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kx1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618214
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.ky1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.cu1', '48.gk1', '48.jg1', '48.kq1', '48.ku1', '48.lg1', '48.lp1', '48.mf1', '48.mg1', '48.mh1', '48.mk1'], 'contains': ['192.fh1', '192.fi1', '192.fj1', '192.ge1', '192.gf1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 1822051397507040, 359890668370854], 'label': '1536.408640176.96.ky1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.ky1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ky1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618215
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.kz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cv1', '48.gf1', '48.gj1', '48.jh1', '48.ji1', '48.kn2', '48.kr1', '48.kv1', '48.le1', '48.lh1', '48.li1', '48.lk1', '48.lq1', '48.mi1', '48.mj1'], 'contains': ['192.ge1', '192.gg1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 486919748214, 359890668370854], 'label': '1536.408640176.96.kz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.kz1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.kz1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618216
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.la1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cw1', '48.gh1', '48.jh1', '48.ko1', '48.kw1', '48.ky1', '48.la1', '48.lm1', '48.lr1', '48.ls1', '48.mi1'], 'contains': ['192.ge1', '192.gh1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 4087853328153271, 359890668370854], 'label': '1536.408640176.96.la1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.la1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.la1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618217
    {'ambient': '1536.408640176', 'aut_centralizer_order': 4, 'aut_label': '12.cj1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 96, 'centralizer': '384.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.i1', '6.m1', '6.o1'], 'contains': ['24.gc1', '24.gd1', '24.gg1', '24.he1', '24.hf1', '24.hp1', '24.hq1'], 'core': '96.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1179562545343134, 281175158881, 1558054135131894, 1822051397507040, 359890668370854, 85621839531961], 'label': '1536.408640176.12.cj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.cj1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 62618218
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.lb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cw1', '48.gi1', '48.ji1', '48.km1', '48.ky1', '48.kz1', '48.ln1', '48.lt1', '48.lx1', '48.ly1', '48.mj1'], 'contains': ['192.ge1', '192.gi1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 1821708766832454, 359890668370854, 1558428202046910], 'label': '1536.408640176.96.lb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.lb1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lb1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618219
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.lc1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cx1', '48.gl1', '48.jd1', '48.kl1', '48.kw1', '48.lh1', '48.lt1', '48.ly1', '48.mf1'], 'contains': ['192.ge1', '192.gj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 1179756178121070, 1821708766832454, 359890668370854], 'label': '1536.408640176.96.lc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.lc1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lc1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618220
    {'ambient': '1536.408640176', 'aut_centralizer_order': 128, 'aut_label': '96.ld1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.cx1', '48.gm1', '48.je1', '48.kp1', '48.kz1', '48.la1', '48.li1', '48.lr1', '48.mg1'], 'contains': ['192.ge1', '192.gk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 4913329002108151, 359890668370854], 'label': '1536.408640176.96.ld1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ld1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ld1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618221
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.le1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.27', 'aut_weyl_index': 384, 'centralizer': '96.cf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.cy1', '48.gl1', '48.gm1', '48.jb1', '48.jf1', '48.kn1', '48.ks1', '48.lf1', '48.lk1', '48.mh1', '48.mi1', '48.mj1'], 'contains': ['192.ge1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1822337812123926, 486919748214, 359890668370854, 4914002071643455], 'label': '1536.408640176.96.le1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.le1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.le1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 62618222
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.lf1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.cz1', '48.gn1', '48.jg1', '48.kq1', '48.kx1', '48.lj1', '48.lv1', '48.mf1', '48.mg1', '48.mh1', '48.mk1'], 'contains': ['192.fk1', '192.ge1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 1822051397507040, 85634286366367, 359890668370854], 'label': '1536.408640176.96.lf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '96.lf1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lf1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618223
    {'ambient': '1536.408640176', 'aut_centralizer_order': 16, 'aut_label': '96.lg1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.dl1', '48.gr1', '48.hd1', '48.il1', '48.im1', '48.jx1', '48.lg1'], 'contains': ['192.fm1', '192.fp1', '192.fs1', '192.gf1', '192.gg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1822337812123926, 359890668370854, 85621839531961, 1558328574027631], 'label': '1536.408640176.96.lg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.lg1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618224
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.lh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.dm1', '48.gw1', '48.il1', '48.kc1', '48.ku1'], 'contains': ['192.fn1', '192.fq1', '192.ft1', '192.gf1', '192.gh1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 359890668370854, 4466674913186215], 'label': '1536.408640176.96.lh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1', 'old_label': '96.lh1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lh1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 62618225
    {'ambient': '1536.408640176', 'aut_centralizer_order': 32, 'aut_label': '96.li1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 768, 'centralizer': '96.u1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.dm1', '48.gx1', '48.im1', '48.jm1', '48.lo1', '48.lp1', '48.ml1', '48.mm1', '48.mn1', '48.mo1', '48.mp1'], 'contains': ['192.fo1', '192.fr1', '192.fv1', '192.gf1', '192.gi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1822337812123926, 86082708280015, 4466674913186214, 359890668370854], 'label': '1536.408640176.96.li1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.li1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.li1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 62618226
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.lj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cl1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.dn1', '48.gp1', '48.gu1', '48.ho1', '48.ih1', '48.in1', '48.in2', '48.io1', '48.io2', '48.ka1', '48.kd1', '48.kj1', '48.kv1', '48.lm1', '48.mi1'], 'contains': ['192.gg1', '192.gh1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1822337812123926, 4087853328153271, 359890668370854, 1558328574027631], 'label': '1536.408640176.96.lj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.lj1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lj1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 62618227
    {'ambient': '1536.408640176', 'aut_centralizer_order': 64, 'aut_label': '96.lk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 768, 'centralizer': '96.cl1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.dn1', '48.gq1', '48.gv1', '48.hp1', '48.ii1', '48.io2', '48.ip1', '48.iq1', '48.is1', '48.jn1', '48.kb1', '48.kk1', '48.ln1', '48.lq1', '48.mj1'], 'contains': ['192.gg1', '192.gi1', '192.gl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1179936722089831, 1822337812123926, 4466674913186214, 359890668370854], 'label': '1536.408640176.96.lk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.lk1', 'projective_image': '1536.408640176', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.lk1', 'subgroup_fusion': None, 'weyl_group': '16.14'}